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Nonlinear polynomial systems and Markov systems

Robust stabilisation of discrete-time time-varying linear systems with Markovian switching and nonlinear parametric uncertainties

Pages 1508-1517 | Received 04 Jul 2013, Accepted 02 Oct 2013, Published online: 18 Nov 2013

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Samir Aberkane & Vasile Dragan. (2020) On the existence of the stabilizing solution of generalized Riccati equations arising in zero-sum stochastic difference games: the time-varying case. Journal of Difference Equations and Applications 26:7, pages 913-951.
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Le Van Hien & Nguyen Trung Dzung. (2019) Asynchronous control of discrete-time stochastic bilinear systems with Markovian switchings. International Journal of Systems Science 50:1, pages 23-34.
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Articles from other publishers (5)

Vasile Dragan & Samir Aberkane. (2021) Robust Stability of Time-Varying Markov Jump Linear Systems with Respect to a Class of Structured, Stochastic, Nonlinear Parametric Uncertainties. Axioms 10:3, pages 148.
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Jin Zhu, Xinghua Wu, Chaoxiang Li & Geir E. Dullerud. (2020) State and mode feedback control strategy for discrete‐time Markovian jump linear systems with time‐varying controllable mode transition probability matrix. International Journal of Robust and Nonlinear Control 30:8, pages 3501-3519.
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Samir Aberkane & Vasile Dragan. (2019) On a solution to the problem of time-varying zero-sum LQ stochastic difference game: A Riccati equation approach. On a solution to the problem of time-varying zero-sum LQ stochastic difference game: A Riccati equation approach.
Weijian Ren, Chunlei Wang & Yang Lu. (2017) Fault estimation for time-varying Markovian jump systems with randomly occurring nonlinearities and time delays. Journal of the Franklin Institute 354:3, pages 1388-1402.
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Samir Aberkane & Vasile Dragan. (2015) Robust Stability and Robust Stabilization of a Class of Discrete-Time Time-Varying Linear Stochastic Systems. SIAM Journal on Control and Optimization 53:1, pages 30-57.
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