Article

Set-Valued and Variational Analysis

, Volume 19, Issue 2, pp 203-235

Optimal Control of Non-convex Measure-driven Differential Inclusions

  • Warren Joseph CodeAffiliated withDepartment of Mathematics, University of British Columbia Email author 
  • , Philip D. LoewenAffiliated withDepartment of Mathematics, University of British Columbia

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

Abstract

Necessary conditions for optimality in control problems with differential-inclusion dynamics have recently been developed in the non-convex case by Clarke, Vinter, and others. Using appropriate reparametrizations of the time variable, we extend these results to systems whose dynamics involve a differential inclusion where a vector-valued measure appears. An auxiliary result central to our proof is an extension of existing free end-time necessary conditions to Clarke’s stratified framework.

Keywords

Optimal control Necessary conditions Impulsive systems Measure-driven dynamics

Mathematics Subject Classifications (2010)

49N25 49K21