Stochastic Approximations of Set-Valued Dynamical Systems: Convergence with Positive Probability to an Attractor
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چکیده
منابع مشابه
Stochastic Approximations of Set-Valued Dynamical Systems: Convergence with Positive Probability to an Attractor
A successful method to describe the asymptotic behavior of a discrete time stochastic process governed by some recursive formula is to relate it to the limit sets of a well chosen mean differential equation. Under an attainability condition, convergence to a given attractor of the flow induced by this dynamical system was proved to occur with positive probability (Benäım, 1999) for a class of R...
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15 صفحه اولRobust Control of Set-Valued Discrete-Time Dynamical Systems
This paper presents results obtained for the control of set-valued discrete-time dynamical systems. Such systems model nonlinear systems subject to persistent bounded noise. A robust control problem for such systems is introduced. The problem is formulated as a dynamic game, wherein the controller plays against the set-valued system. Both necessary and sufficient conditions in terms of (station...
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ژورنال
عنوان ژورنال: Mathematics of Operations Research
سال: 2010
ISSN: 0364-765X,1526-5471
DOI: 10.1287/moor.1100.0455