Lyapunov-like characterizations are established for the concepts of, non-uniform in time, global exponential robust stability and input-to-state stability for time-varying control systems.
β¦ LIBER β¦
The Converse Theorem of Lyapunov Exponential Stability Theorem
β Scribed by Zhang, Yan Juan; Ding, Chun Yan; Yan, Shao Hong; Yu, Ying; Zhang, Jin Ying; Zhao, Hui Juan
- Book ID
- 120590009
- Publisher
- Trans Tech Publications, Ltd.
- Year
- 2010
- Tongue
- English
- Weight
- 243 KB
- Volume
- 143-144
- Category
- Article
- ISSN
- 1662-8958
No coin nor oath required. For personal study only.
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In this paper we present a converse Lyapunov theorem for uniform asymptotic stability of switched nonlinear systems. Its proof is a simple consequence of some results on converse Lyapunov theorems for systems with bounded disturbances obtained by Lin et al. (SIAM J. Control Optim. 34 (1996) 124 -160