Optimization Online


Optimal Control of Differential Inclusions

Boris Mordukhovich(aa1086***at***wayne.edu)

Abstract: This paper is devoted to optimal control of dynamical systems governed by differential inclusions in both frameworks of Lipschitz continuous and discontinuous velocity mappings. The latter framework mostly concerns a new class of optimal control problems described by various versions of the so-called sweeping/Moreau processes that are very challenging mathematically and highly important in applications to mechanics, engineering, economics, robotics, etc. Our approach is based on developing the method of discrete approximations for optimal control problems of such differential inclusions that addresses both numerical and qualitative aspects of optimal control. In this way, we establish necessary optimality conditions for optimal solutions to differential inclusions and discuss their various applications. Deriving necessary optimality conditions strongly involves advanced tools of fi rst-order and second-order variational analysis and generalized differentiation.

Keywords: Optimal control, differential inclusions, variational analysis, sweeping processes, discrete approximations, generalized differentiation

Category 1: Other Topics (Other )


Download: [PDF]

Entry Submitted: 07/08/2019
Entry Accepted: 07/08/2019
Entry Last Modified: 07/08/2019

Modify/Update this entry

  Visitors Authors More about us Links
  Subscribe, Unsubscribe
Digest Archive
Search, Browse the Repository


Coordinator's Board
Classification Scheme
Give us feedback
Optimization Journals, Sites, Societies
Mathematical Optimization Society