Stability analysis and stabilization of discrete-time non-homogeneous semi-Markov jump linear systems: a polytopic approach

DOI10.1016/j.automatica.2020.109080zbMath1448.93341OpenAlexW3038163430MaRDI QIDQ2203040

Lixian Zhang, Ali Mesbah, Zepeng Ning, Colaneri, Patrizio

Publication date: 1 October 2020

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2020.109080

zbMATH Keywords

stochastic systemsembedded non-homogeneous Markov chainnon-homogeneous semi-Markov jump linear systemspolytopic quadratic Lyapunov functiontime-varying semi-Markov kernel

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Stochastic stability in control theory (93E15)

Related Items (10)

Observer-based sliding mode control for fuzzy stochastic switching systems with deception attacks ⋮ Event-triggered filtering for uncertain semi-Markov jump systems with time-varying delay by using quantized measurement ⋮ optimal control for semi‐Markov jump linear systems via TP‐free temporal difference () learning ⋮ Advances on modeling and control of semi-Markovian switching systems: a survey ⋮ Optimal decision strategy for discrete-time Markovian jump linear systems ⋮ Control of discrete-time semi-Markovian switched linear singular systems ⋮ Adaptive event‐triggered resilient stabilization for nonlinear semi‐Markov jump systems subject to DoS attacks ⋮ Robust stability on discrete-time nonhomogeneous singular semi-Markov jump systems with a polytopic method ⋮ Time-varying gain controller synthesis of piecewise homogeneous semi-Markov jump linear systems ⋮ Stabilization analysis of Markovian asynchronous switched systems with input delay and Lévy noise

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