The maximum principle for the nonlinear stochastic optimal control problem of switching systems

The maximum principle for the nonlinear stochastic optimal control problem of switching systems

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Article ID: iaor20134043
Volume: 56
Issue: 2
Start Page Number: 341
End Page Number: 352
Publication Date: Jun 2013
Journal: Journal of Global Optimization
Authors: ,
Keywords: optimal control
Abstract:

The aim of this paper is to present a stochastic maximum principle for an optimal control problem of switching systems. It presents necessary conditions of optimality in the form of a maximum principle for stochastic switching systems, in which the dynamic of the constituent processes takes the form of stochastic differential equations. The restrictions on transitions for the system are described through equality constraints.

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