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Riccati equations and delay-dependent BIBO stabilization of stochastic systems with mixed delays and nonlinear perturbations - MaRDI portal

Riccati equations and delay-dependent BIBO stabilization of stochastic systems with mixed delays and nonlinear perturbations (Q623589)

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scientific article; zbMATH DE number 5847737
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English
Riccati equations and delay-dependent BIBO stabilization of stochastic systems with mixed delays and nonlinear perturbations
scientific article; zbMATH DE number 5847737

    Statements

    Riccati equations and delay-dependent BIBO stabilization of stochastic systems with mixed delays and nonlinear perturbations (English)
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    8 February 2011
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    A specific nonlinear controlled stochastic differential equation with additive control and mixed delays is considered. Assuming a specific linear structure for the controller, a sufficient condition for mean square stability is given in terms of the symmetric positive solution of an associated algebraic Riccati equation.
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    BIBO stability
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    stochastic control system
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    algebraic Riccati equation
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    mixed delays
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