Lyapunov function for nonuniform in time global asymptotic stability in probability with application to feedback stabilization (Q645011)
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scientific article; zbMATH DE number 5968990
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| English | Lyapunov function for nonuniform in time global asymptotic stability in probability with application to feedback stabilization |
scientific article; zbMATH DE number 5968990 |
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Lyapunov function for nonuniform in time global asymptotic stability in probability with application to feedback stabilization (English)
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8 November 2011
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The aim of this paper is to extend the well known Artstein-Sontag theorem to the concept of stochastic control Lyapunov function when nonuniform in time stochastic systems are considered. A stabilizer for a wider class of SDE is designed. The main tools used here are the stochastic Lyapunov theorem proved by Khasminsskii and La Salle's invariance theorem.
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stochastic differential system
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asymptotic stability
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