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The absolute stability of nonlinear controlled systems with random variations of structure (Q1390492)

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scientific article; zbMATH DE number 1175212
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English
The absolute stability of nonlinear controlled systems with random variations of structure
scientific article; zbMATH DE number 1175212

    Statements

    The absolute stability of nonlinear controlled systems with random variations of structure (English)
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    18 October 1998
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    Nonlinear controlled systems with random structural variations are considered. Structural variations are described by finite state Markovian processes. It is assumed that at moments of structural transitions, together with jumplike change of phase coordinates, the state space dimension can also change. Two problems are considered as applications: the problem of stability for a control system with data unit failures, and the estimation problem of mean square deviations in an angular moving system with interruptions in the data input.
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    absolute stability
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    vector Lyapunov functions
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    nonlinear controlled systems
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    estimation
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    random structural variations
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    data unit failures
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