Robust H-infinity filter design for uncertain time-delay singular stochastic systems with Markovian jump

DOI10.1007/s11768-006-6201-1zbMath1150.93565OpenAlexW2316374819MaRDI QIDQ3517885

Jian-Wei Xia

Publication date: 6 August 2008

Published in: Journal of Control Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11768-006-6201-1

zbMATH Keywords

linear matrix inequalitysingular stochastic systemsMarkovian jumprobust \(H^\infty\) filter

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) (H^infty)-control (93B36) Stochastic systems in control theory (general) (93E03)

Related Items (9)

Optimal \(\mathcal{H}_\infty\) filtering for singular Markovian jump systems ⋮ H _∞ filtering for singular Markovian jump systems with time delay ⋮ Delay-dependent \(\mathrm H_\infty\) filtering for discrete singular Markov jump systems with Wiener process and partly unknown transition probabilities ⋮ New reliableH_∞filter design for singular Markovian jump time‐delay systems with sensor failures ⋮ H_∞ filtering of discrete-time Markovian jump singular systems via bounded real lemma and supermartingale-liked approach ⋮ Delay-dependent \(H_{\infty }\) filtering for singular Markovian jump time-delay systems ⋮ Delay-dependent \(H_{\infty}\) filtering for singular Markovian jump systems with general uncomplete transition probabilities ⋮ Singular linear quadratic optimal control for singular stochastic discrete‐time systems ⋮ \(\mathcal{H}_\infty\) filtering for singular Markovian jump systems with partly unknown transition rates

Cites Work

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• Singular control systems
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• An algebraic approach to the robust stability analysis and robust stabilization of uncertain singular systems
• Robustness of exponential stability of stochastic differential delay equations
• Robust H∞ control for uncertain stochastic systems with state delay
• Exponential stability of stochastic delay interval systems with Markovian switching
• Robust H∞ filter design for uncertain linear systems with multiple time-varying state delays

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