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On converse Lyapunov theorems for ISS and iISS switched nonlinear systems

✍ Scribed by J.L. Mancilla-Aguilar; R.A. Garcı́a

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
110 KB
Volume
42
Category
Article
ISSN
0167-6911

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📜 SIMILAR VOLUMES

A converse Lyapunov theorem for nonlinea
A converse Lyapunov theorem for nonlinear switched systems
✍ J.L. Mancilla-Aguilar; R.A. Garcı́a 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 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

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Generalized Lyapunov and invariant set theorems for nonlinear dynamical systems
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In this paper we develop generalized Lyapunov and invariant set theorems for nonlinear dynamical systems wherein all regularity assumptions on the Lyapunov function and the system dynamics are removed. In particular, local and global stability theorems are given using lower semicontinuous Lyapunov f