Robust exponential stability criteria of uncertain stochastic systems with time-varying delays

DOI10.1080/00207720802645212zbMath1233.93100OpenAlexW2058755374MaRDI QIDQ3006198

Yumei Li, Xiao-yuan Luo, Xin-Ping Guan

Publication date: 10 June 2011

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207720802645212

zbMATH Keywords

Lyapunov-Krasovskii functionalcontinuous-time linear stochastic systemsdelay-dependent exponential stability in mean squareLMI algorithm

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Robust stability (93D09) Stochastic stability in control theory (93E15)

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Cites Work

• On robust stabilization of uncertain stochastic time-delay systems -- an LMI-based approach
• Stability of semilinear stochastic evolution equations
• Asymptotic stability of the linear Ito equation in infinite dimensions
• New stability criterion of uncertain systems with time-varying delay
• Delay-dependent robust stabilization of uncertain state-delayed systems
• Delay-dependent robust stability of stochastic systems with time delay and nonlinear uncertainties
• Delay-dependent robust stability and stabilization of uncertain linear delay systems: a linear matrix inequality approach
• Output feedback H_∞ control of systems with parameter uncertainty
• Robustness of exponential stability of stochastic differential delay equations
• An LMI-based approach for robust stabilization of uncertain stochastic systems with time-varying delays
• A descriptor system approach to H/sub ∞/ control of linear time-delay systems
• Parameter-Dependent Lyapunov Functional for Stability of Time-Delay Systems With Polytopic-Type Uncertainties

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