Stability and stabilisation of Itô stochastic systems with piecewise homogeneous Markov jumps

DOI10.1080/00207721.2018.1551977zbMath1482.93684OpenAlexW2902233811MaRDI QIDQ5027939

Ying Zhang, Ai-guo Wu, Hui-Jie Sun

Publication date: 7 February 2022

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207721.2018.1551977

zbMATH Keywords

stability analysisMarkovian jump systemsstate-feedback controltime-varying transition rates

Mathematics Subject Classification ID

Feedback control (93B52) Stochastic stability in control theory (93E15)

Related Items (4)

\(H_\infty\) consensus for stochastic Markov jump multi-agent systems with imperfect time-varying transition probabilities and multiplicative noise ⋮ Robust stabilization of non-stationary Markov jump 2-d systems with multiplicative noises ⋮ Linear quadratic optimal control for a class of continuous-time nonhomogeneous Markovian jump linear systems in infinite time horizon ⋮ Extended dissipative control for interval type-2 singular systems with nonhomogeneous Markovian switching

Cites Work

• Unnamed Item
• Stabilization of stochastic systems under Markovian switching
• \(H_\infty \) estimation for discrete-time piecewise homogeneous Markov jump linear systems
• Indefinite stochastic linear quadratic control with Markovian jumps in infinite time horizon
• Robust stability and controllability of stochastic differential delay equations with Markovian switching.
• Stability of stochastic differential equations with Markovian switching
• Stochastic stabilization of a class of nonhomogeneous Markovian jump linear systems
• Sliding mode control for Itô stochastic systems with Markovian switching
• Finite-Time Stability and Stabilization of Itô Stochastic Systems With Markovian Switching: Mode-Dependent Parameter Approach
• Stochastic stability properties of jump linear systems
• Stability and robust stabilization to linear stochastic systems described by differential equations with markovian jumping and multiplicative white noise
• Further results on finite-time stabilisation for stochastic Markovian jump systems with time-varying delay
• An H/sub /spl infin// approach to networked control
• On Eigenvalue Sets and Convergence Rate of Itô Stochastic Systems With Markovian Switching

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