Stability and convergence of stochastic approximation procedures under Markovian structural perturbations (Q2753269)

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scientific article; zbMATH DE number 1667818
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Stability and convergence of stochastic approximation procedures under Markovian structural perturbations
scientific article; zbMATH DE number 1667818

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    9 April 2002
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    stability
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    convergence
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    approximation procedure
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    Stability and convergence of stochastic approximation procedures under Markovian structural perturbations (English)
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    A continuous stochastic approximation procedure that incorporates the effects of random structural changes in a system is, in this paper, a stochastic differential system perturbed by a step Markov process. The authors study the qualitative behavior of a solution of such a differential system, including various types of convergence and stability. The main ingredients are comparison theorems in the context of vector Lyapunov-like functions.
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