Detailed Description

LYAPUNOV Calculate the value of the inverse operator by solving the Lyapunov equation.

E^T H E + A_X^T H A_X = I_n

Then gamma = || H ||.

Andreas Schmidt, 2016

Definition at line 19 of file Lyapunov.m.

Inheritance diagram for DARE.GammaCalculation.Lyapunov:

Collaboration diagram for DARE.GammaCalculation.Lyapunov:

Public Member Functions
function data =	gen_detailed_data (model,ModelData model_data,IDetailedData detailed_data)
	Store some additional data for the online calculation Actually, we need nothing! More...

function fn =	gen_reduced_data (ModelData model_data,IDetailedData detailed_data,IReducedData reduced_data)

function gamma =	calculate (model,ModelData model_data, dsim)

Public Member Functions inherited from ARE.GammaCalculation.GammaCalculatorInterface
virtual function data =	gen_detailed_data (ModelData model_data,IDetailedData detailed_data)
	GEN_DETAILED_DATA This function is called by the basis generation algorithm and should be used to calculate all high dimensional quantities that are required for the fast online calculation of $$. More...

virtual function fn =	gen_reduced_data (IDetailedData detailed_data,IReducedData reduced_data)
	GEN_REDUCED_DATA The return value of this function should be a function handle that has the following form rb_gamma = fn(rmodel, reduced_data, sim) More...

function g =	gamma (ModelData model_data, sim)
	GAMMA This function should be implemented when this method allows the calculation of the true gamma value. More...

function s =	name ()
	This function should return the name of the gamma calculation method. By default its just the class name! More...

Member Function Documentation

function data = DARE.GammaCalculation.Lyapunov.gen_detailed_data	(		model,
		ModelData	model_data,
		IDetailedData	detailed_data
	)

Store some additional data for the online calculation Actually, we need nothing!

Parameters

model	model
model_data	Matlab structure storing (possibly) high dimensional data needed by IDetailedModel.detailed_simulation().
detailed_data	object defining the basis generation algorithm and storage for storing high dimensional data, i.e. dependent on dimension $H$. This data is necessary for detailed simulations, construction of online matrices, `reduced_data` and reconstruction of reduced simulations.

Return values

data data

Definition at line 36 of file Lyapunov.m.

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