Absolute-in-nonlinearity-and-delay stability in quadratic mean of stochastic differential-difference systems with Poisson switchings (Q5942119)
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scientific article; zbMATH DE number 1637952
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Absolute-in-nonlinearity-and-delay stability in quadratic mean of stochastic differential-difference systems with Poisson switchings |
scientific article; zbMATH DE number 1637952 |
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Absolute-in-nonlinearity-and-delay stability in quadratic mean of stochastic differential-difference systems with Poisson switchings (English)
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4 May 2003
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Algebraic coefficient conditions of absolute asymptotic stability in quadratic mean of the equilibrium of a stochastic dynamic automatic control system are obtained. A mathematical model of this system is a system of Ito-Skorokhod stochastic differential-difference delay equations with several standard Wiener processes, Poisson perturbations, and a finite number of delays. The problem is solved by the second Lyapunov method with the use of the stochastic Lyapunov-Krasovskii functional.
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Ito-Skorokhod differential-difference systems
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stability in quadratic mean
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nonlinearity
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time-delay
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Poisson switchings
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second Lyapunov method
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