STABILITY ANALYSIS OF AUTONOMOUS LINEAR SYSTEMS BY A MATRIX DECOMPOSITION METHOD

Document Type : Original Article

Authors

SZA from Air Defence College, Aix., Egypt, and CI.A from. Clarkson University, Potsdam, NY 13676.

Abstract

A special matrix decomposition method is presented for studying stability of autonomous linear systems. This decomposition appears to lead to a simple formulation capable of providing sufficient stability conditions for such systems. The method does not require solving the general state equations or searching for the appropriate Lyapunov functions. Several criteria regarding the stability of linear autonomous systems are established. A few examples of the applications of the results are also presented.