Class FirstOrderLinearTIDS

Defined in Program listing for file kernel/src/modelingTools/FirstOrderLinearTIDS.hpp

class FirstOrderLinearTIDS : public FirstOrderLinearDS

First order linear and time-invariant coeff systems - \(M \dot x = Ax(t)+ b + r, x(t_0)=x_0\).

This class represents first order linear systems of the form:

\[M\dot x(t) = A x(t) + b + r, x(t_0)=x_0\]

where

  • \(x \in R^{n} \) is the state,
  • \(r \in R^{n} \) the input due to the Non Smooth Interaction.
  • \(M \in R^{n\times n} \) is a constant invertible matrix
  • \(A \in R^{n\times n}\)
  • \(b \in R^{n} \)

No plugged operators for this class.

Right-hand side computation

void initRhs(double time)

Initialization function for the rhs and its jacobian.

Parameters
  • time: of initialization.

void computeRhs(double time)

Default function to the right-hand side term.

Parameters
  • time: current time

void computeJacobianRhsx(double time)

Default function to jacobian of the right-hand side term according to x.

Parameters
  • time: current time

Miscellaneous public methods

void display() const

data display on screen

Public Functions

FirstOrderLinearTIDS(SP::SiconosVector x0, SP::SiconosMatrix A)

initial state and constant A matrix

Parameters
  • x0: the initial state vector
  • A: the A matrix

FirstOrderLinearTIDS(SP::SiconosVector x0, SP::SiconosMatrix A, SP::SiconosVector b)

initial state, constant A matrix, constant b vector

Parameters
  • x0: the initial state vector
  • A: matrix
  • b: vector

FirstOrderLinearTIDS(const FirstOrderLinearTIDS &FOLTIDS)

Copy constructor.

Parameters

~FirstOrderLinearTIDS()

destructor

virtual void updatePlugins(double time)

Dumb function, there is no plugin here.

Parameters
  • time: unused