\(H_\infty\) filtering of continuous Markov jump linear system with partly known Markov modes and transition probabilities

DOI10.1016/j.jfranklin.2013.08.006zbMath1293.93746OpenAlexW2063695459MaRDI QIDQ398313

Mouquan Shen

Publication date: 15 August 2014

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2013.08.006

zbMATH Keywords

stochastic stability\(H_\infty\) filteringBernoulli random binary distribution\(H_\infty\) performance levelcontinuous Markov jump linear systems (MJLSs)

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) (H^infty)-control (93B36) Stochastic stability in control theory (93E15)

Related Items (10)

New delay-dependent bounded real lemmas of polytopic uncertain singular Markov jump systems with time delays ⋮ Stochastic stability and stabilization of a class of piecewise-homogeneous Markov jump linear systems with mixed uncertainties ⋮ Event-triggered finite-time \(L_1\) control for positive Markov jump systems with partly known transition probability ⋮ Robust sliding mode passive control for uncertain Markovian jump discrete systems with stochastic communication delays ⋮ Design of sliding mode fault‐tolerant control for Markovian jump systems with probabilistic delay: A discrete partitioning strategy ⋮ Quantized peak-to-peak filtering for continuous-time nonhomogeneous Markov jump systems with structured uncertainty ⋮ Non-fragile finite-time filter design for time-delayed Markovian jumping systems via T-S fuzzy model approach ⋮ H_∞filtering for piecewise homogeneous Markovian jump nonlinear systems ⋮ Relaxed dissipative control of nonhomogeneous Markovian jump fuzzy systems via stochastic nonquadratic stabilization approach ⋮ Event-triggered \(H_\infty\) filtering of Markov jump systems with general transition probabilities

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