Delay-dependent robust H ∞ control for uncertain stochastic time-delay systems

DOI10.1002/rnc.1552zbMath1203.93191OpenAlexW2151221309MaRDI QIDQ3064235

Rongni Yang, Peng Shi, Huijun Gao

Publication date: 21 December 2010

Published in: International Journal of Robust and Nonlinear Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/rnc.1552

zbMATH Keywords

time delay\(H_\infty\) controluncertaintiesstochastic systemsLyapunov-Krasovskii functionaldelay partitioning

Mathematics Subject Classification ID

(H^infty)-control (93B36) Asymptotic stability in control theory (93D20) Stochastic stability in control theory (93E15) Stochastic systems in control theory (general) (93E03)

Related Items (11)

Global robust sliding mode control for time-delay systems with mismatched uncertainties ⋮ Robust synchronization of uncertain Markovian jumping complex interconnected neural networks via adaptive fault-tolerant control ⋮ Stabilization of discrete-time stochastic systems via sliding mode technique ⋮ Asynchronous \(H_{\infty }\) control of switched delay systems with average dwell time ⋮ A novel approach on stabilization for linear systems with time-varying input delay ⋮ Observer-based robust adaptive fuzzy control for MIMO nonlinear uncertain systems with delayed output ⋮ Adaptive fuzzy tracking control for uncertain nonlinear time-delay systems with unknown dead-zone input ⋮ Novel stabilization conditions for uncertain singular systems with time-varying delay ⋮ Stochastic maximum principle for partial information optimal control problem of forward-backward systems involving classical and impulse controls ⋮ Asynchronous \( L_1\) control of delayed switched positive systems with mode-dependent average Dwell time ⋮ A new result on observer-based sliding mode control design for a class of uncertain Itô stochastic delay systems

Cites Work

• A delay fractioning approach to global synchronization of delayed complex networks with stochastic disturbances
• Delay-dependent robust \({\mathcal H}_\infty\) of uncertain linear state-delayed systems
• Delay-dependent robust stability of stochastic uncertain systems with time delay and Markovian jump parameters
• Stabilization of a class of uncertain large-scale stochastic systems with time delays
• Parameter-dependent robust stability of uncertain time-delay systems
• Robust energy-to-peak filter design for stochastic time-delay systems
• ROBUST OUTPUT FEEDBACK CONTROL FOR DISCRETE TIME-DELAY UNCERTAIN SYSTEMS
• A delay-dependent stability criterion for systems with uncertain time-invariant delays
• Filtering for Nonlinear Genetic Regulatory Networks With Stochastic Disturbances
• A descriptor system approach to H/sub ∞/ control of linear time-delay systems

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