Control of time-delayed linear differential inclusions with stochastic disturbance

DOI10.1016/j.jfranklin.2010.10.008zbMath1206.93104OpenAlexW2067619380MaRDI QIDQ621939

Leipo Liu, Jun Huang, Zheng-zhi Han, Xiu-Shan Cai

Publication date: 31 January 2011

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2010.10.008

zbMATH Keywords

feedback lawstochastic disturbanceconvex hull Lyapunov functionstable in mean squaretime-delayed linear differential inclusions

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Lyapunov and storage functions (93D30) Perturbations in control/observation systems (93C73) Stochastic stability in control theory (93E15) Stochastic systems in control theory (general) (93E03) Control/observation systems governed by ordinary differential equations (93C15)

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Cites Work

• Approximate controllability of nonlinear stochastic evolution systems with time-varying delays
• Adaptive lag synchronization of unknown chaotic delayed neural networks with noise perturbation
• Adaptive synchronization for delayed neural networks with stochastic perturbation
• Nonlinear control design for linear differential inclusions via convex hull of quadratics
• Optimal controller for uncertain stochastic polynomial systems
• Controllability of nonlinear Itô type stochastic integrodifferential systems
• A note on the LaSalle-type theorems for stochastic differential delay equations
• Criteria for robust absolute stability of time-varying nonlinear continuous-time systems
• Passive fuzzy controller design for nonlinear systems with multiplicative noises
• New robust delay-dependent stability and \(H_{\infty}\) analysis for uncertain Markovian jump systems with time-varying delays
• Stability and dissipative analysis for a class of stochastic system with time-delay
• Differential equations: Stability, oscillations, time lags
• Exponential stability in \(p\)-th mean of solutions, and of convergent Euler-type solutions, of stochastic delay differential equations
• Trajectory optimization based on differential inclusion (Revised)
• Linear Matrix Inequalities in System and Control Theory
• Properties of the Composite Quadratic Lyapunov Functions
• Stability and Performance for Saturated Systems via Quadratic and Nonquadratic Lyapunov Functions
• Asymptotic stability for tracking control of nonlinear uncertain dynamical systems described by differential inclusions.
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