Robust \(H_{\infty}\) control for linear Markovian jump systems with unknown nonlinearities

DOI10.1016/S0022-247X(03)00144-6zbMath1029.93064OpenAlexW2008179758MaRDI QIDQ1399389

Sing Kiong Nguang, Peng Shi, El-Kébir Boukas

Publication date: 30 July 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00144-6

zbMATH Keywords

uncertaintydisturbance attenuationstochastic stability\(H_{\infty}\) controlRiccati inequalityMarkovian jump parameter

Mathematics Subject Classification ID

(H^infty)-control (93B36) Stochastic stability in control theory (93E15)

Related Items

Weighted \(\mathcal H _{\infty}\) filtering of switched systems with time-varying delay: average dwell time approach, New delay-dependent robust stability criterion for uncertain neutral systems with time-varying delay and nonlinear uncertainties, Fuzzy model-based fault detection for Markov jump systems, Event-triggered control of Markov jump systems against general transition probabilities and multiple disturbances via adaptive-disturbance-observer approach, \({\mathcal H}_{\infty}\) filter for uncertain Markovian jump nonlinear systems: an LMI approach, Robust stability criteria for uncertain neutral system with time delay and nonlinear uncertainties, Exponential stability of time-delay systems with nonlinear uncertainties, ℋ_∞model reduction for continuous-time switched stochastic hybrid systems, Parameter-dependent robust stability for uncertain Markovian jump systems with time delay, Exponential \(H_{\infty }\) filtering for time-varying delay systems: Markovian approach, Stochastic stability of linear systems with semi-Markovian jump parameters, Disturbance-observer-based event-triggered control for semi-Markovian jump nonlinear systems, Weighted \(H_\infty \) model reduction for linear switched systems with time-varying delay, Finite-horizonℋ₂/ℋ_∞control for a class of nonlinear Markovian jump systems with probabilistic sensor failures

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