A Dynamic Programming Formulation for the Nonlinear Filter

Jin Won Kim, Prashant G. Mehta

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper build on our recent work where we presented a dual stochastic optimal control formulation of the nonlinear filtering problem [1]. The constraint for the dual problem is a backward stochastic differential equations (BSDE). The solution is obtained via an application of the maximum principle (MP). In the present paper, a dynamic programming (DP) principle is presented for a special class of BSDE-constrained stochastic optimal control problems. The principle is applied to derive the solution of the nonlinear filtering problem.

Original languageEnglish (US)
Title of host publication2021 7th Indian Control Conference, ICC 2021 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages313-316
Number of pages4
ISBN (Electronic)9781665409780
DOIs
StatePublished - 2021
Event7th Indian Control Conference, ICC 2021 - Virtual, Online, India
Duration: Dec 20 2021Dec 22 2021

Publication series

Name2021 7th Indian Control Conference, ICC 2021 - Proceedings

Conference

Conference7th Indian Control Conference, ICC 2021
Country/TerritoryIndia
CityVirtual, Online
Period12/20/2112/22/21

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Control and Optimization

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