ParametricContinuousModel

class ParametricContinuousModel(operators, solver=None)

Parametric system of ordinary differential equations \(\ddt\qhat(t; \bfmu) = \fhat(\qhat(t; \bfmu), \u(t); \bfmu)\).

Here,

• \(\qhat(t;\bfmu)\in\RR^{r}\) is the model state,

• \(\u(t)\in\RR^{m}\) is the (optional) input, and

• \(\bfmu\in\RR^{p}\in\RR^{p}\) is the parameter vector.

The structure of \(\fhat\) is specified through the operators argument.

Parameters:

operatorslist of opinf.operators objects

Operators comprising the terms of the model.

Properties:

A_

opinf.operators.LinearOperator (or None).

B_

opinf.operators.InputOperator (or None).

G_

opinf.operators.CubicOperator (or None).

H_

opinf.operators.QuadraticOperator (or None).

N_

opinf.operators.StateInputOperator (or None).

c_

opinf.operators.ConstantOperator (or None).

input_dimension

Dimension \(m\) of the input (zero if there are no inputs).

operators

Operators comprising the terms of the model.

parameter_dimension

Dimension \(p\) of a parameter vector \(\bfmu\).

solver

Solver for the least-squares regression, see opinf.lstsq.

state_dimension

Dimension \(r\) of the state.

Methods:

copy	Make a copy of the model.
evaluate	Construct a nonparametric model by fixing the parameter value.
fit	Learn the model operators from data.
galerkin	Construct a reduced-order model by taking the (Petrov-)Galerkin projection of each model operator.
jacobian	Sum the state Jacobian of each model operator.
predict	Solve the system of ordinary differential equations.
refit	Solve the Operator Inference regression using the data from the last fit() call, then extract the inferred operators.
rhs	Evaluate the right-hand side of the model by applying each operator and summing the results.