ON THE STABILITY OF LARGE-SCALE INTERCONNECTED SYSTEMS

Document Type : Original Article

Authors

Department of Aircraft Electrical and Special Equipment, Military Technical College, Cairo, EGYPT.

Abstract

In this paper we study the stability of large-scale systems. We consider those systems which may be viewed as an interconnection of lower order subsystems. Lyapunov stability results were considered using norm type function, which led to the use of the measure of a matrix to analyze the stability. The resultant test matrix is an M-matrix with entries that are expressed in terms of the stability properties of the subsystems and in terms of the qualitative properties of the system interconnecting structure.