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A converse Lyapunov theorem for nonlinear switched systems

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

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
95 KB
Volume
41
Category
Article
ISSN
0167-6911

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✦ Synopsis

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), once an association of the switched system with a nonlinear system with disturbances is established.

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