A stability and contractiveness analysis of discrete-time Markovian jump linear systems

DOI10.1016/J.AUTOMATICA.2006.07.020zbMath1140.93494OpenAlexW2032057445MaRDI QIDQ864307

Geir E. Dullerud, Ji-Woong Lee

Publication date: 13 February 2007

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2006.07.020

zbMATH Keywords

linear matrix inequalitypositive systemsMarkovian jump systemsbounded real Lemma

Mathematics Subject Classification ID

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

Related Items (6)

Detector-based \(H_\infty\) results for discrete-time Markov jump linear systems with partial observations ⋮ Stabilization of stochastic systems under Markovian switching ⋮ On the balanced truncation and coprime factors reduction of Markovian jump linear systems ⋮ MPC for LPV systems with bounded parameter variations ⋮ A new look at the robust control of discrete-time Markov jump linear systems ⋮ Exponential stability for uncertain neutral systems with Markov jumps

Cites Work

• Unnamed Item
• Unnamed Item
• Stability results for discrete-time linear systems with Markovian jumping parameters
• Gain scheduling via linear fractional transformations
• On the Kalman-Yakubovich-Popov lemma
• Controllability, stabilizability, and continuous-time Markovian jump linear quadratic control
• State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
• Matrix Analysis
• A linear matrix inequality approach to H_∞ control
• Multivariate Nonnegative Quadratic Mappings
• A bounded real lemma for jump systems
• Stochastic stabilizability and \(H_\infty\) control for discrete-time jump linear systems with time delay

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