A Stochastic Jurdjevic--Quinn Theorem

DOI10.1137/S0363012900370788zbMath1014.60062MaRDI QIDQ4537824

Patrick Florchinger

Publication date: 23 June 2002

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

zbMATH Keywords

stochastic differential systemItô's formulaLyapunov theoremasymptotic stability in probabilityLa Salle's invariance principle

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) Stochastic stability in control theory (93E15)

Related Items (8)

Asymptotic stabilizability of a class of stochastic nonlinear hybrid systems ⋮ \(p\)-stability and \(p\)-stabilizability of stochastic nonlinear and bilinear hybrid systems under stabilizing switching rules ⋮ A Jurdjevic-Quinn theorem for nonlinear stochastic systems ⋮ Stabilization of nonlinear stochastic systems without unforced dynamics via time--varying feedback ⋮ Global asymptotic stabilisation in probability of nonlinear stochastic systems via passivity ⋮ Lyapunov function for nonuniform in time global asymptotic stability in probability with application to feedback stabilization ⋮ A STOCHASTIC JURDJEVIC-QUINN THEOREM FOR THE STABILIZATION OF NONLINEAR STOCHASTIC DIFFERENTIAL SYSTEMS ⋮ Stabilizability of a class of stochastic bilinear hybrid systems

This page was built for publication: A Stochastic Jurdjevic--Quinn Theorem