IntegratorLYAPUNOV Class Reference

Base class for all kinds of Runge-Kutta schemes for integrating ODEs. More...

#include <integrator_lyapunov.hpp>

Inheritance diagram for IntegratorLYAPUNOV:

Public Member Functions
virtual Integrator *	clone () const =0
virtual returnValue	freezeAll ()
virtual returnValue	freezeMesh ()
virtual int	getNumberOfRejectedSteps () const
virtual int	getNumberOfSteps () const
virtual double	getStepSize () const
virtual returnValue	init (const DifferentialEquation &rhs_)
returnValue	init (const DifferentialEquation &rhs_, const Transition &trs_)
	IntegratorLYAPUNOV ()
	IntegratorLYAPUNOV (int dim_, double power_)
	IntegratorLYAPUNOV (const DifferentialEquation &rhs_, int dim_, double power_)
	IntegratorLYAPUNOV (const IntegratorLYAPUNOV &arg)
virtual IntegratorLYAPUNOV &	operator= (const IntegratorLYAPUNOV &arg)
virtual returnValue	setDxInitialization (double *dx0)
virtual returnValue	step (int number)
virtual returnValue	stop ()
virtual returnValue	unfreeze ()
virtual	~IntegratorLYAPUNOV ()
Public Member Functions inherited from Integrator
virtual BooleanType	canHandleImplicitSwitches () const
virtual returnValue	deleteAllSeeds ()
returnValue	getBackwardSensitivities (DVector &Dx_x0, DVector &Dx_p, DVector &Dx_u, DVector &Dx_w, int order) const
virtual double	getDifferentialEquationSampleTime () const
returnValue	getForwardSensitivities (DVector &Dx, int order) const
returnValue	getForwardSensitivities (VariablesGrid &Dx, int order) const
returnValue	getI (VariablesGrid &I) const
returnValue	getX (DVector &xEnd) const
returnValue	getX (VariablesGrid &X) const
returnValue	getXA (DVector &xaEnd) const
returnValue	getXA (VariablesGrid &XA) const
returnValue	init (const DifferentialEquation &rhs, const Transition &trs)
returnValue	integrate (double t0, double tend, double *x0, double *xa=0, double *p=0, double *u=0, double *w=0)
returnValue	integrate (const Grid &t, double *x0, double *xa=0, double *p=0, double *u=0, double *w=0)
returnValue	integrate (double t0, double tend, const DVector &x0, const DVector &xa=emptyVector, const DVector &p=emptyVector, const DVector &u=emptyVector, const DVector &w=emptyVector)
returnValue	integrate (const Grid &t, const DVector &x0, const DVector &xa=emptyVector, const DVector &p=emptyVector, const DVector &u=emptyVector, const DVector &w=emptyVector)
returnValue	integrateSensitivities ()
	Integrator ()
	Integrator (const Integrator &arg)
virtual BooleanType	isDifferentialEquationAffine () const
virtual BooleanType	isDifferentialEquationDefined () const
virtual returnValue	printRunTimeProfile () const
returnValue	setBackwardSeed (const int &order, const DVector &seed)
returnValue	setForwardSeed (const int &order, const DVector &xSeed, const DVector &pSeed=emptyVector, const DVector &uSeed=emptyVector, const DVector &wSeed=emptyVector)
returnValue	setTransition (const Transition &trs)
virtual	~Integrator ()
Public Member Functions inherited from AlgorithmicBase
int	addLogRecord (LogRecord &_record)
returnValue	addOption (OptionsName name, int value)
returnValue	addOption (OptionsName name, double value)
returnValue	addOption (uint idx, OptionsName name, int value)
returnValue	addOption (uint idx, OptionsName name, double value)
returnValue	addOptionsList ()
	AlgorithmicBase ()
	AlgorithmicBase (UserInteraction *_userInteraction)
	AlgorithmicBase (const AlgorithmicBase &rhs)
returnValue	get (OptionsName name, int &value) const
returnValue	get (OptionsName name, double &value) const
returnValue	get (OptionsName name, std::string &value) const
returnValue	get (uint idx, OptionsName name, int &value) const
returnValue	get (uint idx, OptionsName name, double &value) const
returnValue	getAll (LogName _name, MatrixVariablesGrid &values) const
returnValue	getFirst (LogName _name, DMatrix &firstValue) const
returnValue	getFirst (LogName _name, VariablesGrid &firstValue) const
returnValue	getLast (LogName _name, DMatrix &lastValue) const
returnValue	getLast (LogName _name, VariablesGrid &lastValue) const
Options	getOptions (uint idx) const
BooleanType	haveOptionsChanged () const
BooleanType	haveOptionsChanged (uint idx) const
AlgorithmicBase &	operator= (const AlgorithmicBase &rhs)
returnValue	plot (PlotFrequency _frequency=PLOT_IN_ANY_CASE)
returnValue	printLogRecord (std::ostream &_stream, int idx, LogPrintMode _mode=PRINT_ITEM_BY_ITEM) const
returnValue	replot (PlotFrequency _frequency=PLOT_IN_ANY_CASE)
returnValue	set (OptionsName name, int value)
returnValue	set (OptionsName name, double value)
returnValue	set (OptionsName name, const std::string &value)
returnValue	set (uint idx, OptionsName name, int value)
returnValue	set (uint idx, OptionsName name, double value)
returnValue	setAll (LogName _name, const MatrixVariablesGrid &values)
returnValue	setLast (LogName _name, int lastValue, double time=-INFTY)
returnValue	setLast (LogName _name, double lastValue, double time=-INFTY)
returnValue	setLast (LogName _name, const DVector &lastValue, double time=-INFTY)
returnValue	setLast (LogName _name, const DMatrix &lastValue, double time=-INFTY)
returnValue	setLast (LogName _name, const VariablesGrid &lastValue, double time=-INFTY)
returnValue	setOptions (const Options &arg)
returnValue	setOptions (uint idx, const Options &arg)
virtual	~AlgorithmicBase ()

Protected Member Functions
void	allocateMemory ()
void	constructAll (const IntegratorLYAPUNOV &arg)
void	deleteAll ()
double	determineEta45 ()
double	determineEta45 (int number)
void	determineEtaGForward (int number)
void	determineEtaGForward2 (int number)
void	determineEtaHBackward (int number)
void	determineEtaHBackward2 (int number)
virtual returnValue	evaluate (const DVector &x0, const DVector &xa, const DVector &p, const DVector &u, const DVector &w, const Grid &t_)
virtual returnValue	evaluateSensitivities ()
virtual int	getDim () const
virtual returnValue	getProtectedBackwardSensitivities (DVector &Dx_x0, DVector &Dx_p, DVector &Dx_u, DVector &Dx_w, int order) const
virtual returnValue	getProtectedForwardSensitivities (DMatrix *Dx, int order) const
virtual returnValue	getProtectedX (DVector *xEnd) const
virtual void	initializeButcherTableau ()=0
void	initializeVariables ()
void	interpolate (int jj, double *e1, double *d1, double *e2, VariablesGrid &poly)
void	logCurrentIntegratorStep (const DVector &currentX=emptyConstVector)
void	printIntermediateResults ()
virtual returnValue	setBackwardSeed2 (const DVector &seed)
returnValue	setForwardSeed2 (const DVector &xSeed, const DVector &pSeed, const DVector &uSeed, const DVector &wSeed)
virtual returnValue	setProtectedBackwardSeed (const DVector &seed, const int &order)
virtual returnValue	setProtectedForwardSeed (const DVector &xSeed, const DVector &pSeed, const DVector &uSeed, const DVector &wSeed, const int &order)
Protected Member Functions inherited from Integrator
virtual returnValue	diffTransitionBackward (DVector &DX, DVector &DP, DVector &DU, DVector &DW, int &order)
virtual returnValue	diffTransitionForward (DVector &DX, const DVector &DP, const DVector &DU, const DVector &DW, const int &order)
virtual returnValue	evaluateTransition (const double time, DVector &xd, const DVector &xa, const DVector &p, const DVector &u, const DVector &w)
virtual int	getDimX () const
void	initializeOptions ()
virtual returnValue	setupLogging ()
virtual returnValue	setupOptions ()

Protected Attributes
double **	A
double *	b4
double *	b5
DVector	bseed
DVector	bseed2
double *	c
int	dim
int	dimp
int	dimu
int	dimw
int	dimxmy
double	err_power
double *	eta4
double *	eta4_
double *	eta5
double *	eta5_
double *	etaG
double *	etaG2
double *	etaG3
double *	etaH
double *	etaH2
double *	etaH3
DVector	fseed
DVector	fseed2
double *	G
double *	G2
double *	G3
double *	H
double *	H2
double *	H3
double **	k
double **	k2
double **	l
double **	l2
Lyapunov	lyap
int	maxAlloc
double *	seedmy
double	t
double *	x
double **	Y
Protected Attributes inherited from Integrator
int *	alg_index
int *	control_index
int	count
int	count2
int	count3
int *	ddiff_index
VariablesGrid	ddxStore
int *	diff_index
DVector	diff_scale
int *	disturbance_index
DVector	dP
DVector	dPb
DVector	dU
DVector	dUb
DVector	dW
DVector	dWb
DVector	dX
DVector	dXb
VariablesGrid	dxStore
RealClock	functionEvaluation
double *	h
double	hini
double	hmax
double	hmin
int *	int_control_index
int *	int_parameter_index
VariablesGrid	iStore
int	las
short int	m
short int	ma
int	maxNumberOfSteps
short int	md
short int	mdx
short int	mn
short int	mp
short int	mpi
short int	mu
short int	mui
short int	mw
int	nBDirs
int	nBDirs2
int	nFcnEvaluations
int	nFDirs
int	nFDirs2
int *	parameter_index
int	PrintLevel
DifferentialEquation *	rhs
StateOfAggregation	soa
int	time_index
Grid	timeInterval
double	TOL
RealClock	totalTime
Transition *	transition
double	tune
DVector	xE
VariablesGrid	xStore
Protected Attributes inherited from AlgorithmicBase
int	outputLoggingIdx
BooleanType	useModuleStandalone
UserInteraction *	userInteraction

Detailed Description

Base class for all kinds of Runge-Kutta schemes for integrating ODEs.

The class IntegratorRK serves as a base class for all kinds of Runge-Kutta schemes for integrating ordinary differential equations (ODEs).

Author

Boris Houska, Hans Joachim Ferreau

Definition at line 54 of file integrator_lyapunov.hpp.

Constructor & Destructor Documentation

BEGIN_NAMESPACE_ACADO IntegratorLYAPUNOV::IntegratorLYAPUNOV

(

)

Default constructor.

Definition at line 52 of file integrator_lyapunov.cpp.

IntegratorLYAPUNOV::IntegratorLYAPUNOV	(	int	dim_,
		double	power_
	)

Default constructor.

Definition at line 59 of file integrator_lyapunov.cpp.

IntegratorLYAPUNOV::IntegratorLYAPUNOV	(	const DifferentialEquation &	rhs_,
		int	dim_,
		double	power_
	)

Default constructor.

Definition at line 81 of file integrator_lyapunov.cpp.

IntegratorLYAPUNOV::IntegratorLYAPUNOV

(

const IntegratorLYAPUNOV &

arg

)

Copy constructor (deep copy).

Definition at line 104 of file integrator_lyapunov.cpp.

IntegratorLYAPUNOV::~IntegratorLYAPUNOV ( )

virtual

Destructor.

Definition at line 111 of file integrator_lyapunov.cpp.

Member Function Documentation

void IntegratorLYAPUNOV::allocateMemory ( )

protected

This routine is protected and sets up all
variables (i.e. allocates memory etc.).
Note that this routine assumes that the
dimensions are already set correctly and is
thus for internal use only.

Definition at line 168 of file integrator_lyapunov.cpp.

virtual Integrator* IntegratorLYAPUNOV::clone ( ) const

pure virtual

The (virtual) copy constructor

Implements Integrator.

Implemented in IntegratorLYAPUNOV45.

void IntegratorLYAPUNOV::constructAll ( const IntegratorLYAPUNOV &  arg )

protected

Implementation of the copy constructor.

Definition at line 451 of file integrator_lyapunov.cpp.

void IntegratorLYAPUNOV::deleteAll ( )

protected

Implementation of the delete operator.

Definition at line 322 of file integrator_lyapunov.cpp.

double IntegratorLYAPUNOV::determineEta45 ( )

protected

computes eta4 and eta5 (only for internal use)

Returns

The error estimate.

Definition at line 1754 of file integrator_lyapunov.cpp.

double IntegratorLYAPUNOV::determineEta45 ( int  number )

protected

computes eta4 and eta5 (only for internal use)

Returns

The error estimate.

Definition at line 1818 of file integrator_lyapunov.cpp.

void IntegratorLYAPUNOV::determineEtaGForward ( int  number )

protected

computes etaG in forward direction (only for internal use)

Definition at line 1877 of file integrator_lyapunov.cpp.

void IntegratorLYAPUNOV::determineEtaGForward2 ( int  number )

protected

computes etaG and etaG2 in forward direction
(only for internal use)

Definition at line 1908 of file integrator_lyapunov.cpp.

void IntegratorLYAPUNOV::determineEtaHBackward ( int  number )

protected

computes etaH in backward direction (only for internal use)

Definition at line 1946 of file integrator_lyapunov.cpp.

void IntegratorLYAPUNOV::determineEtaHBackward2 ( int  number )

protected

computes etaH2 in backward direction (only for internal use)

Definition at line 1980 of file integrator_lyapunov.cpp.

returnValue IntegratorLYAPUNOV::evaluate ( const DVector &  x0, const DVector &  xa, const DVector &  p, const DVector &  u, const DVector &  w, const Grid &  t_  )

protectedvirtual

Starts integration: cf. integrate(...) for
more details.

Parameters

x0	the initial state
xa	the initial algebraic state
p	the parameters
u	the controls
w	the disturbance
t_	the time interval

Implements Integrator.

Definition at line 712 of file integrator_lyapunov.cpp.

returnValue IntegratorLYAPUNOV::evaluateSensitivities ( )

protectedvirtual

< Integrates forward and/or backward depending on the specified seeds.

Returns

SUCCESSFUL_RETURN
RET_NO_SEED_ALLOCATED

Implements Integrator.

Definition at line 1152 of file integrator_lyapunov.cpp.

returnValue IntegratorLYAPUNOV::freezeAll ( )

virtual

Freezes the mesh as well as all intermediate values. This function
is necessary for the case that automatic differentiation in backward
mode should is used. (Note: This function might for large right hand
sides lead to memory problems as all intemediate values will be
stored!)

Returns

SUCCESSFUL_RETURN
RET_ALREADY_FROZEN

Implements Integrator.

Definition at line 688 of file integrator_lyapunov.cpp.

returnValue IntegratorLYAPUNOV::freezeMesh ( )

virtual

Freezes the mesh: Storage of the step sizes. If the integrator is
freezed the mesh will be stored when calling the function integrate
for the first time. If the function integrate is called more than
once the same mesh will be reused (i.e. the step size control will
be turned off). Note that the mesh should be frozen if any kind of
sensitivity generation is used.

Returns

SUCCESSFUL_RETURN
RET_ALREADY_FROZEN

Implements Integrator.

Definition at line 672 of file integrator_lyapunov.cpp.

int IntegratorLYAPUNOV::getDim ( ) const

protectedvirtual

Returns the dimension of the Differential Equation

Implements Integrator.

Definition at line 2186 of file integrator_lyapunov.cpp.

int IntegratorLYAPUNOV::getNumberOfRejectedSteps ( ) const

virtual

Returns the number of rejected Steps.

Returns

The requested number of rejected steps.

Implements Integrator.

Definition at line 1732 of file integrator_lyapunov.cpp.

int IntegratorLYAPUNOV::getNumberOfSteps ( ) const

virtual

Returns the number of accepted Steps.

Returns

The requested number of accepted steps.

Implements Integrator.

Definition at line 1727 of file integrator_lyapunov.cpp.

returnValue IntegratorLYAPUNOV::getProtectedBackwardSensitivities ( DVector &  Dx_x0, DVector &  Dx_p, DVector &  Dx_u, DVector &  Dx_w, int  order  ) const

protectedvirtual

Returns the result for the backward sensitivities at the time tend.

Parameters

Dx_x0	backward sensitivities w.r.t. the initial states
Dx_p	backward sensitivities w.r.t. the parameters
Dx_u	backward sensitivities w.r.t. the controls
Dx_w	backward sensitivities w.r.t. the disturbance
order	the order of the derivative

Returns

SUCCESSFUL_RETURN
RET_INPUT_OUT_OF_RANGE

Implements Integrator.

Definition at line 1638 of file integrator_lyapunov.cpp.

returnValue IntegratorLYAPUNOV::getProtectedForwardSensitivities ( DMatrix *  Dx, int  order  ) const

protectedvirtual

Returns the result for the forward sensitivities at the time tend.

Returns

SUCCESSFUL_RETURN
RET_INPUT_OUT_OF_RANGE

Parameters

Dx	the result for the forward sensitivi- ties
order	the order

Implements Integrator.

Definition at line 1601 of file integrator_lyapunov.cpp.

returnValue IntegratorLYAPUNOV::getProtectedX ( DVector *  xEnd ) const

protectedvirtual

Returns the result for the state at the time tend.

Returns

SUCCESSFUL_RETURN

Parameters

xEnd	the result for the states at the time tend.

Implements Integrator.

Definition at line 1587 of file integrator_lyapunov.cpp.

double IntegratorLYAPUNOV::getStepSize ( ) const

virtual

Returns the current step size

Implements Integrator.

Definition at line 1738 of file integrator_lyapunov.cpp.

returnValue IntegratorLYAPUNOV::init ( const DifferentialEquation &  rhs_ )

virtual

The initialization routine which takes the right-hand side of
the differential equation to be integrated.

Parameters

rhs	the right-hand side of the ODE/DAE.

Returns

SUCCESSFUL_RETURN if all dimension checks succeed.
otherwise: integrator dependent error message.

Implements Integrator.

Definition at line 117 of file integrator_lyapunov.cpp.

returnValue IntegratorLYAPUNOV::init ( const DifferentialEquation &  rhs_, const Transition &  trs_  )

inline

The initialization routine which takes the right-hand side of
the differential equation to be integrated. In addition a
transition function can be set which is evaluated at the end
of the integration interval.

Parameters

rhs	the right-hand side of the ODE/DAE.
trs	the transition to be evaluated at the end.

Returns

SUCCESSFUL_RETURN if all dimension checks succeed.
otherwise: integrator dependent error message.

virtual void IntegratorLYAPUNOV::initializeButcherTableau ( )

protectedpure virtual

This routine initializes the coefficients of the Butcher Tableau.

Implemented in IntegratorLYAPUNOV45.

void IntegratorLYAPUNOV::initializeVariables ( )

protected

This routine is protected and is basically used
to set all pointer-valued member to the NULL pointer.
In addition some dimensions are initialized with 0 as
a default value.

Definition at line 144 of file integrator_lyapunov.cpp.

void IntegratorLYAPUNOV::interpolate ( int  jj, double *  e1, double *  d1, double *  e2, VariablesGrid &  poly  )

protected

Definition at line 2169 of file integrator_lyapunov.cpp.

void IntegratorLYAPUNOV::logCurrentIntegratorStep ( const DVector &  currentX = emptyConstVector )

protected

IntegratorLYAPUNOV & IntegratorLYAPUNOV::operator= ( const IntegratorLYAPUNOV &  arg )

virtual

Assignment operator (deep copy).

Definition at line 439 of file integrator_lyapunov.cpp.

void IntegratorLYAPUNOV::printIntermediateResults ( )

protected

prints intermediate results for the case that the PrintLevel is
HIGH.

Definition at line 2020 of file integrator_lyapunov.cpp.

returnValue IntegratorLYAPUNOV::setBackwardSeed2 ( const DVector &  seed )

protectedvirtual

Initializes a second backward seed. (only for internal use)

Parameters

seed	the seed matrix

Definition at line 1106 of file integrator_lyapunov.cpp.

returnValue IntegratorLYAPUNOV::setDxInitialization ( double *  dx0 )

virtual

Sets an initial guess for the differential state derivatives
(consistency condition)

Returns

SUCCESSFUL_RETURN

Parameters

dx0	initial guess for the differential state derivatives

Implements Integrator.

Definition at line 1744 of file integrator_lyapunov.cpp.

returnValue IntegratorLYAPUNOV::setForwardSeed2 ( const DVector &  xSeed, const DVector &  pSeed, const DVector &  uSeed, const DVector &  wSeed  )

protected

Initializes a second forward seed. (only for internal use)

Parameters

xSeed	the seed w.r.t the initial states
pSeed	the seed w.r.t the parameters
uSeed	the seed w.r.t the controls
wSeed	the seed w.r.t the disturbances

Definition at line 986 of file integrator_lyapunov.cpp.

returnValue IntegratorLYAPUNOV::setProtectedBackwardSeed ( const DVector &  seed, const int &  order  )

protectedvirtual

Define a backward seed

Returns

SUCCESFUL_RETURN
RET_INPUT_OUT_OF_RANGE

Parameters

seed	the seed matrix
order	the order of the seed.

Implements Integrator.

Definition at line 1058 of file integrator_lyapunov.cpp.

returnValue IntegratorLYAPUNOV::setProtectedForwardSeed ( const DVector &  xSeed, const DVector &  pSeed, const DVector &  uSeed, const DVector &  wSeed, const int &  order  )

protectedvirtual

Define a forward seed.

Returns

SUCCESFUL RETURN
RET_INPUT_OUT_OF_RANGE

Parameters

xSeed	the seed w.r.t the initial states
pSeed	the seed w.r.t the parameters
uSeed	the seed w.r.t the controls
wSeed	the seed w.r.t the disturbances
order	the order of the seed.

Implements Integrator.

Definition at line 906 of file integrator_lyapunov.cpp.

returnValue IntegratorLYAPUNOV::step ( int  number )

virtual

Executes the next single step. This function can be used to
call the integrator step wise. Note that this function is e.g.
useful in real-time simulations where after each step a time
out limit has to be checked. This function will usually return

Returns

RET_FINAL_STEP_NOT_PERFORMED_YET
for the case that the final step has not been
performed yet, i.e. the integration routine is not yet
at the time tend.
Otherwise it will either return

SUCCESSFUL_RETURN
or any other error message that might occur during
an integration step.
In most real situations you can define the maximum number of
step sizes to be 1 before calling the function integrate
Then the function integrate should return after one step with
the message
RET_MAXIMUM_NUMBER_OF_STEPS_EXCEEDED. After that you can call
step() until the final time is reached.
(You can use the PrintLevel NONE to avoid that the message
RET_MAXIMUM_NUMBER_OF_STEPS_EXCEEDED is printed.)

Parameters

number

the step number

Definition at line 1324 of file integrator_lyapunov.cpp.

returnValue IntegratorLYAPUNOV::stop ( )

virtual

Stops the integration even if the final time has not been
reached yet. This function will also give all memory free.
In particular, the function unfreeze() will be called.
(This function is designed for the usage in real-time
contexts in order to deal with error messages without
deleting and re-initializing the integrator.)

Returns

SUCCESSFUL_RETURN

Definition at line 1581 of file integrator_lyapunov.cpp.

returnValue IntegratorLYAPUNOV::unfreeze ( )

virtual

Unfreezes the mesh: Gives the memory free that has previously
been allocated by "freeze". If you use the function
integrate after unfreezing the usual step size control will be
switched on.

Returns

SUCCESSFUL_RETURN
RET_MESH_ALREADY_UNFROZED

Implements Integrator.

Definition at line 702 of file integrator_lyapunov.cpp.

Member Data Documentation

double** IntegratorLYAPUNOV::A

protected

the coefficient A of the Butcher Tableau.

Definition at line 436 of file integrator_lyapunov.hpp.

double* IntegratorLYAPUNOV::b4

protected

the 4th order coefficients of the Butcher Tableau.

Definition at line 437 of file integrator_lyapunov.hpp.

double* IntegratorLYAPUNOV::b5

protected

the 5th order coefficients of the Butcher Tableau.

Definition at line 438 of file integrator_lyapunov.hpp.

DVector IntegratorLYAPUNOV::bseed

protected

The backward seed (only internal use)

Definition at line 460 of file integrator_lyapunov.hpp.

DVector IntegratorLYAPUNOV::bseed2

protected

The backward seed 2 (only internal use)

Definition at line 463 of file integrator_lyapunov.hpp.

double* IntegratorLYAPUNOV::c

protected

the time coefficients of the Butcher Tableau.

Definition at line 439 of file integrator_lyapunov.hpp.

int IntegratorLYAPUNOV::dim

protected

the dimension of the Butcher Tableau.

Definition at line 435 of file integrator_lyapunov.hpp.

int IntegratorLYAPUNOV::dimp

protected

Definition at line 489 of file integrator_lyapunov.hpp.

int IntegratorLYAPUNOV::dimu

protected

Definition at line 488 of file integrator_lyapunov.hpp.

int IntegratorLYAPUNOV::dimw

protected

Definition at line 490 of file integrator_lyapunov.hpp.

int IntegratorLYAPUNOV::dimxmy

protected

Definition at line 487 of file integrator_lyapunov.hpp.

double IntegratorLYAPUNOV::err_power

protected

root order of the step size control

Definition at line 454 of file integrator_lyapunov.hpp.

double* IntegratorLYAPUNOV::eta4

protected

the result of order 4

Definition at line 444 of file integrator_lyapunov.hpp.

double* IntegratorLYAPUNOV::eta4_

protected

the result of order 4

Definition at line 446 of file integrator_lyapunov.hpp.

double* IntegratorLYAPUNOV::eta5

protected

the result of order 5

Definition at line 445 of file integrator_lyapunov.hpp.

double* IntegratorLYAPUNOV::eta5_

protected

the result of order 5

Definition at line 447 of file integrator_lyapunov.hpp.

double* IntegratorLYAPUNOV::etaG

protected

Sensitivity matrix (only internal use)

Definition at line 466 of file integrator_lyapunov.hpp.

double* IntegratorLYAPUNOV::etaG2

protected

Sensitivity matrix (only internal use)

Definition at line 470 of file integrator_lyapunov.hpp.

double* IntegratorLYAPUNOV::etaG3

protected

Sensitivity matrix (only internal use)

Definition at line 471 of file integrator_lyapunov.hpp.

double* IntegratorLYAPUNOV::etaH

protected

Sensitivity matrix (only internal use)

Definition at line 474 of file integrator_lyapunov.hpp.

double* IntegratorLYAPUNOV::etaH2

protected

Sensitivity matrix (only internal use)

Definition at line 478 of file integrator_lyapunov.hpp.

double* IntegratorLYAPUNOV::etaH3

protected

Sensitivity matrix (only internal use)

Definition at line 479 of file integrator_lyapunov.hpp.

DVector IntegratorLYAPUNOV::fseed

protected

The forward seed (only internal use)

Definition at line 459 of file integrator_lyapunov.hpp.

DVector IntegratorLYAPUNOV::fseed2

protected

The forward seed 2 (only internal use)

Definition at line 462 of file integrator_lyapunov.hpp.

double* IntegratorLYAPUNOV::G

protected

Sensitivity matrix (only internal use)

Definition at line 465 of file integrator_lyapunov.hpp.

double* IntegratorLYAPUNOV::G2

protected

Sensitivity matrix (only internal use)

Definition at line 468 of file integrator_lyapunov.hpp.

double* IntegratorLYAPUNOV::G3

protected

Sensitivity matrix (only internal use)

Definition at line 469 of file integrator_lyapunov.hpp.

double* IntegratorLYAPUNOV::H

protected

Sensitivity matrix (only internal use)

Definition at line 473 of file integrator_lyapunov.hpp.

double* IntegratorLYAPUNOV::H2

protected

Sensitivity matrix (only internal use)

Definition at line 476 of file integrator_lyapunov.hpp.

double* IntegratorLYAPUNOV::H3

protected

Sensitivity matrix (only internal use)

Definition at line 477 of file integrator_lyapunov.hpp.

double** IntegratorLYAPUNOV::k

protected

the intermediate results

Definition at line 448 of file integrator_lyapunov.hpp.

double** IntegratorLYAPUNOV::k2

protected

the intermediate results

Definition at line 449 of file integrator_lyapunov.hpp.

double** IntegratorLYAPUNOV::l

protected

the intermediate results

Definition at line 450 of file integrator_lyapunov.hpp.

double** IntegratorLYAPUNOV::l2

protected

the intermediate results

Definition at line 451 of file integrator_lyapunov.hpp.

Lyapunov IntegratorLYAPUNOV::lyap

protected

Definition at line 496 of file integrator_lyapunov.hpp.

int IntegratorLYAPUNOV::maxAlloc

protected

size of the memory that is allocated to store
the trajectory and the mesh.

Definition at line 483 of file integrator_lyapunov.hpp.

double* IntegratorLYAPUNOV::seedmy

protected

Definition at line 495 of file integrator_lyapunov.hpp.

double IntegratorLYAPUNOV::t

protected

the actual time

Definition at line 452 of file integrator_lyapunov.hpp.

double* IntegratorLYAPUNOV::x

protected

the actual state (only internal use)

Definition at line 453 of file integrator_lyapunov.hpp.

double** IntegratorLYAPUNOV::Y

protected

Definition at line 493 of file integrator_lyapunov.hpp.

---

The documentation for this class was generated from the following files:

• integrator_lyapunov.hpp
• integrator_lyapunov.cpp