Stabilization of a class of nonlinear stochastic systems

DOI10.1016/S0362-546X(98)00278-8zbMath0962.93088OpenAlexW1971961040MaRDI QIDQ5915348

Christophe Boulanger

Publication date: 18 June 2001

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(98)00278-8

zbMATH Keywords

stochastic stabilityasymptotic stabilizationcontrol Lyapunov functionsnonlinear stochastic 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) Stochastic stability in control theory (93E15) Ordinary differential equations and systems with randomness (34F05)

Related Items

Unnamed Item, Intermittent stochastic stabilization based on discrete-time observation with time delay, Noise suppress or express exponential growth for hybrid Hopfield neural networks, Noise suppresses explosive solutions of differential systems with coefficients satisfying the polynomial growth condition, Noise suppress exponential growth for hybrid Hopfield neural networks, Stochastic stability of quasi-integrable Hamiltonian systems with time delay by using Lyapunov function method, On the asymptotic stability and numerical analysis of solutions to nonlinear stochastic differential equations with jumps, Feedback control optimization of nonlinear systems under random excitations, Robustness of exponential stability of a class of stochastic functional differential equations with infinite delay, Noise suppresses explosive solutions of differential systems: a new general polynomial growth condition