IJERT-EMS
IJERT-EMS

Computation of the State Transition Matrix for General Linear Time-Varying Systems


Computation of the State Transition Matrix for General Linear Time-Varying Systems
Authors : Vanita Jain, B. K. Lande
Publication Date: 30-08-2012

Authors

Author(s):  Vanita Jain, B. K. Lande

Published in:   International Journal of Engineering Research & Technology

License:  This work is licensed under a Creative Commons Attribution 4.0 International License.

Website: www.ijert.org

Volume/Issue:   Vol.1 - Issue 6 (August- 2012)

e-ISSN:   2278-0181

Abstract

This paper introduces a method to develop the state transition matrix for n-dimensional linear, continuous time-varying systems. The state transition matrix is essential for determining the complete solution, stability, controllability and observability of linear time-varying systems. Cayley-Hamilton technique for finding the solution of linear-time invariant systems is extended to find the state transition matrix of general, n-dimensional continuous time-varying systems. The method gives a general procedure to find the state transition matrix for n-dimensional linear time-varying systems and is very useful in the study of time-varying systems.

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