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Lyapunov stability analysis for nonlinear delay systems

✍ Scribed by Frédéric Mazenc; Silviu-Iulian Niculescu

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

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✦ Synopsis

Su cient conditions ensuring that a nonlinear system with disturbances having a delay is globally asymptotically stable independent of delay are given. The proof carried out relies extensively on a characterization of the stability property in terms of Lyapunov function. The result is applied to some biological systems and neural networks. A stabilizing memoryless controller for a second-order system with state-delay is also proposed.

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✍ Hajer Bouzaouache; Naceur Benhadj Braiek 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 204 KB

In the stability study of nonlinear systems, not to found feasible solution for the LMI problem associated with a quadratic Lyapunov function shows that it doesn't exist positive definite quadratic Lyapunov function that proves stability of the system, but doesn't show that the system isn't stable.