NECESSARY AND SUFFICIENT CONDITIONS FOR LOCAL AND GLOBAL ASYMPTOTIC STABILITY OF NONLINEAR CASCADE SYSTEMS

V. Sundarapandian (India)

Received July 9, 2008

Abstract

In this paper, we derive necessary and sufficient conditions for local and global asymptotic stability of both continuous-time and discrete-time nonlinear cascade systems. We prove our results using converse Lyapunov theorems and LaSalle’s invariance principle for continuous-time and discrete-time nonlinear systems. We illustrate our results with examples.

Keywords and phrases: asymptotic stability, cascade systems, discrete-time systems, nonlinear systems.