#7438. Control theory for stochastic distributed parameter systems, an engineering perspective

September 2026publication date
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4 total number of authors per manuscript0 $

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Journal’s subject area:
Control and Systems Engineering;
Software;
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Abstract:
The main purpose of this paper is to survey some recent progresses on control theory for stochastic distributed parameter systems, i.e., systems governed by stochastic differential equations in infinite dimensions, typically by stochastic partial differential equations. We will explain the new phenomenon and difficulties in the study of controllability and optimal control problems for one dimensional stochastic parabolic equations and stochastic hyperbolic equations.
Keywords:
Controllability; Optimal control; Pontryagin-type maximum principle; Stochastic distributed parameter system; Stochastic linear quadratic problem

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