Robust stability, ℋ2 analysis and stabilisation of discrete-time Markov jump linear systems with uncertain probability matrix

DOI10.1080/00207170802136178zbMath1168.93413OpenAlexW2023038772MaRDI QIDQ5323242

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Publication date: 23 July 2009

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

Full work available at URL: http://www.informaworld.com/smpp/./content~db=all~content=a903434780

zbMATH Keywords

robust stabilitystate feedback controlLMI relaxationsdiscrete-time Markov jump linear systems\(\mathcal H_2\) normuncertain probability matrix

Mathematics Subject Classification ID

Related Items (12)

Linear-quadratic parametrization of stabilizing controls in discrete-time 2D systems ⋮ Stabilisation of discrete-time piecewise homogeneous Markov jump linear system with imperfect transition probabilities ⋮ Second moment constraints and the control problem of Markov jump linear systems ⋮ Stability of Markov jump systems with quadratic terms and its application to RLC circuits ⋮ On the control of Markov jump linear systems with no mode observation: application to a DC Motor device ⋮ Finite-horizon suboptimal control of Markov jump linear parameter-varying systems ⋮ Stability of nonlinear discrete repetitive processes with Markovian switching ⋮ Robust stability of Markov jump linear systems through randomized evaluations ⋮ and filter design for polytopic continuous‐time Markov jump linear systems with uncertain transition rates ⋮ Stability analysis of discrete-time Markov jump linear singular systems with partially known transition probabilities ⋮ \(\mathcal{H}_\infty\) state feedback control for MJLS with uncertain probabilities ⋮ New methods for mode-independent robust control of Markov jump linear systems

Uses Software

• YALMIP

Cites Work

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