A recursive method for determining the Laplace transform of exp (At)

1 February 1970

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control

Vol. 15 (1) , 137-139
https://doi.org/10.1109/tac.1970.1099342

Abstract

A method for recursively determining the Laplace transform of the state transition matrix for a linear time-invariant system is presented. The method does not require matrix inversion, nor does the complexity of the operations involved increase with the dimensionality of the system. It is equally applicable to systems with distinct or multiple roots.

Keywords

LAPLACE EQUATIONS
AUTOMATIC CONTROL
CONTROL SYSTEMS
CONTROL SYSTEM ANALYSIS
COMPUTATIONAL INTELLIGENCE SOCIETY

This publication has 1 reference indexed in Scilit:

A novel method of evaluating transient response
Proceedings of the IEEE, 1966