Finite-time \(\mathcal{H}_2/\mathcal{H}_\infty\) control for linear Itô stochastic Markovian jump systems: mode-dependent approach

DOI10.1049/IET-CTA.2020.0515zbMATH Open1542.93356MaRDI QIDQ6611603

Ju H. Park, Zhi-Guo Yan, Yunxia Song

Publication date: 26 September 2024

Published in: IET Control Theory \& Applications (Search for Journal in Brave)

zbMATH Keywords

state feedbacklinear systemslinear matrix inequalitiesoptimisationstochastic systems\(H^\infty\) controlMDAoptimisation algorithms\(H_\infty\) control problemItô stochastic Markovian jump systemsmode-dependent approach

Mathematics Subject Classification ID

Feedback control (93B52) (H^infty)-control (93B36) Linear systems in control theory (93C05) Optimal stochastic control (93E20) Stochastic stability in control theory (93E15) Observers (93B53) Finite-time stability (93D40)

Cites Work

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• Finite-time boundedness analysis and \(H_\infty\) control for switched neutral systems with mixed time-varying delays
• Quantitative mean square exponential stability and stabilization of stochastic systems with Markovian switching
• Finite-time \(H_2/H_\infty\) control for linear Itô stochastic systems with \((x,u,v)\)-dependent noise
• Markov jump linear systems and filtering through network transmitted measurements
• Dissipativity based fault detection for 2D Markov jump systems with asynchronous modes
• Finite-time \(H_\infty\) control for singular Markovian jump systems with partly unknown transition rates
• Network-based filtering for stochastic Markovian jump systems with application to PWM-driven boost converter
• Sliding mode control for singular stochastic Markovian jump systems with uncertainties
• Infinite horizon \(H_2/H_\infty\) control for stochastic systems with Markovian jumps
• Finite-time guaranteed cost control for Itô Stochastic Markovian jump systems with incomplete transition rates
• Finite-Time Stability and Stabilization of Itô Stochastic Systems With Markovian Switching: Mode-Dependent Parameter Approach
• Finite Horizon $H_{2}/H_{\infty}$ Control for Discrete-Time Stochastic Systems With Markovian Jumps and Multiplicative Noise
• Static output feedback control of switched systems with quantization: A nonhomogeneous sojourn probability approach
• Asynchronous H_∞ filtering of continuous‐time Markov jump systems
• Finite-Time Stabilization via Sliding Mode Control
• Finite-time control of linear systems subject to parametric uncertainties and disturbances

Related Items (4)

Optimal control and zero-sum game subject to differential equations with Liu processes and random matrices ⋮ Event-triggered finite-time dynamic output feedback control for switched affine systems with asynchronous switching ⋮ Optimal control and stabilization for linear continuous-time mean-field systems with delay ⋮ Exponential stability for switched semi-Markov jump systems with mode-dependent average dwell time and generally uncertain transition rates

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