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The Converse Theorem of Lyapunov Exponential Stability Theorem

✍ 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

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A converse Lyapunov theorem for nonlinea
✍ J.L. Mancilla-Aguilar; R.A. Garcı́a πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 95 KB

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