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Stability and stabilization of uncertain 2-D discrete systems with stochastic perturbation - MaRDI portal

Stability and stabilization of uncertain 2-D discrete systems with stochastic perturbation (Q1774501)

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scientific article; zbMATH DE number 2168253
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English
Stability and stabilization of uncertain 2-D discrete systems with stochastic perturbation
scientific article; zbMATH DE number 2168253

    Statements

    Stability and stabilization of uncertain 2-D discrete systems with stochastic perturbation (English)
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    17 May 2005
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    The authors adapt the Lyapunov-based LMI approach to design the robust controller for the linear discrete 2-D system, to a case with random disturbances. They provide sufficient stability conditions for the cases with and without uncertainties, respectively, and also give a design procedure for the stabilising state feedback loop. A simple numerical illustrative example is provided too.
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    LMI
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    stochastic 2D systems
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    robust stability
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    robust stabilisation
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