computeOutputJacobianMatrixMss

Method of TTTensor.

Compute the Jacobian matrix of the mss output equations in Tensor-Train (TT) format.

Source: src/tensor/@TTTensor/computeOutputJacobianMatrixMss.m

Syntax

jacobianMatrix = computeOutputJacobianMatrixMss(obj, sys, variableVector, nVariables)

Description

computeOutputJacobianMatrixMss computes the Jacobian of the output equations of an mss model by contracting the Tensor-Train cores at the specified operating point defined by the state vector x and input vector u.

The Jacobian is evaluated directly from the Tensor-Train representation by contracting the TT cores and computing the derivatives with respect to each variable. The full multilinear parameter tensor is never explicitly constructed.

To improve computational efficiency, left and right partial contractions of the TT network are precomputed and reused when evaluating the derivative with respect to each variable.

Input arguments

Argument Description
obj TTTensor object.
sys mss model object.
variableVector Combined operating-point vector.
nVariables Number of variables.

Output arguments

Output Description
jacobianMatrix Jacobian matrix of the mss output equations.

See also

TTTensor · computeStateJacobianMatrixMss · computeFunctionValueMss · mss


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