A necessary condition for local asymptotic stability of discrete-time nonlinear systems with parameters

✍ Scribed by V. Sundarapandian

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 191 KB
• Volume: 15
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/s0893-9659(01)00129-x

✦ Synopsis

In this paper, we derive a necessary condition for local asymptotic stability of equilibria of discrete-time nonlinear systems with parameters. Our necessary condition is analogous to the necessary condition obtained by Byrnes and Sundarapandian [1] for local asymptotic stability of equilibria of continuous-time nonlinear systems with parameters. As a corollary of our general result, we deduce the necessary condition obtained by Lin and Byrnes [2] for local asymptotic stability of equilibria of discrete-time nonlinear systems. We also illustrate our result with some examples.