Local and global asymptotic stability of nonlinear cascade interconnected systems

Abstract: In this paper, we derive some sufficient conditions for local and global asymptotic stability of both continuous-time and discrete-time nonlinear cascade interconnected systems. We prove our results using converse Lyapunov stability theorems and LaSalle''s invariance principle for continuous-time and discrete-time nonlinear systems. [Copyright &y& Elsevier]