Stochastic stabilization and induced \(\ell_2\)-gain for discrete-time Markov jump Lur'e systems with control saturation

DOI10.1016/j.automatica.2014.07.004zbMath1297.93175OpenAlexW2050534653MaRDI QIDQ466491

Carlos Alberto Cavichioli Gonzaga, Oswaldo L. V. Costa

Publication date: 27 October 2014

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2014.07.004

zbMATH Keywords

Markov chainsaturationinvariant probability measurebounded sector nonlinearityLur'e-type Lyapunov function

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Synthesis problems (93B50) Stochastic stability in control theory (93E15) Stochastic systems in control theory (general) (93E03)

Related Items

Model reduction for discrete-time Markov jump Lur'e systems with time-varying delays in a unified framework, Finite-time stabilization for discrete-time delayed Markovian jump systems with partially delayed actuator saturation, Resilient dissipative dynamic output feedback control for uncertain Markov jump Lur'e systems with time-varying delays, Efficient model predictive control for Markovian jump systems with Lur'e nonlinear term: A dual‐mode control scheme, Quantized feedback control of continuous time Lur'e systems with nested quantization over finite data rate channels, Probabilistic-constrained control of interval type-2 T-S fuzzy systems under the multi-node round-robin scheduling protocol, Observer design for delayed Markovian jump systems with output state saturation, Resilient dissipative filtering for uncertain Markov jump nonlinear systems with time-varying delays, A hidden Markov model based control for periodic systems subject to singular perturbations, Sampled-data exponential synchronization of Markovian jump chaotic Lur'e systems with multiple time delays

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