Necessary conditions of optimality for a class of stochastic differential equations on UMD Banach spaces

Abstract

In this paper we consider stochastic evolution equations on UMD-Banach spaces. In a recent paper we proved existence of optimal controls. Here in this paper we develop necessary conditions of optimality whereby one can construct the optimal controls. For illustration we use these results to treat the LQR problem in sufficient details under two sets of alternative and distinct assumptions.

Authors and Affiliations

NasirUddin Ahmed

Keywords

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  • EP ID EP482072
  • DOI 10.7151/dmdico.1200
  • Views 65
  • Downloads 0

How To Cite

NasirUddin Ahmed (2018). Necessary conditions of optimality for a class of stochastic differential equations on UMD Banach spaces. Discussiones Mathematicae Differential Inclusions Control and Optimization, 38(1), 15-38. https://www.europub.co.uk/articles/-A-482072