Invariance of stochastic diffusion systems


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Abstract

Sufficient conditions for an endpoint cost criterion in a controllable stochastic diffusion system to be constant with probability 1 (i.e., for weak invariance condition) and sufficient conditions for absolute invariance, i.e., the independence of an endpoint cost criterion on the realization of the random process and the initial data, are obtained.

About the authors

M. M. Khrustalev

Institute of Control Sciences

Author for correspondence.
Email: mmkhrustalev@mail.ru
Russian Federation, Moscow, 117997

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