Lyapunov function for nonuniform in time global asymptotic stability in probability with application to feedback stabilization

DOI10.1007/s10440-011-9632-8zbMath1229.93159OpenAlexW2053115998MaRDI QIDQ645011

Malik Abu Hassan, Fakhreddin Abedi, Norihan Md. Arifin

Publication date: 8 November 2011

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: http://psasir.upm.edu.my/id/eprint/25006/1/Lyapunov%20function%20for%20nonuniform%20in%20time%20global%20asymptotic%20stability%20in%20probability%20with%20application%20to%20feedback%20stabilization.pdf

zbMATH Keywords

asymptotic stabilitystochastic differential system

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Adaptive or robust stabilization (93D21) Stochastic stability in control theory (93E15)

Related Items (7)

A notion of stability in probability of stochastic nonlinear systems ⋮ Lyapunov characterization for the stability of stochastic control systems ⋮ On exponential stability of composite stochastic control systems ⋮ On the asymptotical and practical stability of stochastic control systems ⋮ Exponential input-to-state stability of composite stochastic systems ⋮ Stabilization of some composite stochastic control systems with nontrivial solutions ⋮ Exponential stability of some interconnected stochastic control systems with non-trivial equilibria

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