Chain Matrix Derivative via Laplace Transform Method with Applications to Distributed Circuits Simulation

Chain Matrix Derivative via Laplace Transform Method with Applications to Distributed Circuits Simulation

Paper in proceedings (conference paper)

In the paper a technique based on the Laplace transform method to get the derivative of a matrix exponential function is elaborated. The necessity for such a computation appears in many cases of modelling and simulation problems. In the field of an electrical engineering it can be utilized e.g. for a sensitivity computation in the circuits with multiconductor transmission lines (MTLs) as their distributed parts. In this case just the s-domain MTLs chain matrix has a form of the matrix exponential function. A respective procedure was developed in the Matlab language environment.

In the paper a technique based on the Laplace transform method to get the derivative of a matrix exponential function is elaborated. The necessity for such a computation appears in many cases of modelling and simulation problems. In the field of an electrical engineering it can be utilized e.g. for a sensitivity computation in the circuits with multiconductor transmission lines (MTLs) as their distributed parts. In this case just the s-domain MTLs chain matrix has a form of the matrix exponential function. A respective procedure was developed in the Matlab language environment.

chain matrix, matrix exponential function, derivative, Laplace transform, numerical inversion

chain matrix, matrix exponential function, derivative, Laplace transform, numerical inversion

BRANČÍK, L.

14.09.2006

VUT v Brně

Brno

Electronic Devices and Systems IMAPS CS International Conference 2006

58

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