Stochastic stability of systems with semi-Markovian switching

DOI10.1016/j.automatica.2014.09.008zbMath1300.93178OpenAlexW2057054556MaRDI QIDQ473337

Maria Simonsen, John Leth, Henrik Schioler

Publication date: 24 November 2014

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2014.09.008

zbMATH Keywords

stabilitystochastic systemsemi-Markov processswitching dynamics

Mathematics Subject Classification ID

Stochastic stability in control theory (93E15) Stochastic systems in control theory (general) (93E03)

Related Items (19)

Stability and stabilization of a class of stochastic switching systems with lower bound of sojourn time ⋮ Input-to-state stability for nonlinear systems with stochastic impulses ⋮ Stabilization of non-homogeneous hidden semi-Markov jump systems with limited sojourn-time information ⋮ Stability of neutral stochastic delayed systems with switching and distributed-delay dependent impulses ⋮ Advances on modeling and control of semi-Markovian switching systems: a survey ⋮ Indefinite multiple Lyapunov functions ofpth moment input‐to‐state stability andpth moment integral input‐to‐state stability for the nonlinear time‐varying stochastic systems with Markovian switching ⋮ Hybrid gain performance‐based random event‐triggered filter of positive semi‐Markovian jump systems with intermittent sensor faults ⋮ Control of discrete-time semi-Markovian switched linear singular systems ⋮ Event-triggered filter of positive semi-Markovian jump systems with Weibull distribution ⋮ An improved sufficient condition of almost sure exponential stability for semi-Markov jump systems with asynchronous control ⋮ Event-triggered and stochastic-sampled consensus of nonlinear multi-agent systems under semi-Markov switching topology ⋮ Stability analysis and stabilization of discrete-time non-homogeneous semi-Markov jump linear systems: a polytopic approach ⋮ Analysis and synthesis for a class of stochastic switching systems against delayed mode switching: a framework of integrating mode weights ⋮ Stabilization of hidden semi-Markov jump systems: emission probability approach ⋮ Stability of switching linear systems with switching signals driven by stochastic processes ⋮ Stability analysis of semi-Markov switched stochastic systems ⋮ Controller design for discrete-time hybrid linear parameter-varying systems with semi-Markov mode switching ⋮ Stability analysis of switched stochastic delay system with unstable subsystems ⋮ Finite-time \(H_{\infty}\) control for T-S fuzzy descriptor semi-Markov jump systems via static output feedback

Cites Work

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• On almost sure stability of continuous-time Markov jump linear systems
• Asymptotic stability in distribution of stochastic differential equations with Markovian switching.
• $p$th Moment Noise-to-State Stability of Stochastic Differential Equations with Persistent Noise
• Lyapunov Functionals and Stability of Stochastic Difference Equations
• Stochastic Hybrid Systems
• On systems with non-Markovian regime changes
• Stochastic stability properties of jump linear systems
• Stabilization of stochastic nonlinear systems driven by noise of unknown covariance
• Almost Sure Stabilization of Uncertain Continuous-Time Markov Jump Linear Systems
• Fault tolerance analysis for stochastic systems using switching diffusion processes
• Stochastic Stability of Markovianly Switched Systems

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