Necessary optimality conditions for optimal impulsive control problems with hysteresis

O. N. Samsonyuk, S. A. Timoshin

Research output: Chapter in Book or Report/Conference proceedingConference Proceedingpeer-review

Abstract

We study a class of optimal control problems for measure-driven differential equations with rate independent hysteresis. The hysteresis is modeled by an evolution variational inequality equivalent to the action of play operator generalized to the case of discontinuous inputs of bounded variation. A method to obtain optimality conditions for impulsive processes is proposed.

Original languageEnglish
Title of host publicationProceedings of 2018 14th International Conference Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiys Conference), STAB 2018
EditorsValentin N. Tkhai
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1-4
Number of pages4
ISBN (Electronic)9781538645567
DOIs
Publication statusPublished - 6 Jul 2018
Externally publishedYes
Event14th International Conference "Stability and Oscillations of Nonlinear Control Systems" (Pyatnitskiy's Conference), STAB 2018 - Moscow, Russian Federation
Duration: 30 May 20181 Jun 2018

Publication series

NameProceedings of 2018 14th International Conference Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiys Conference), STAB 2018

Conference

Conference14th International Conference "Stability and Oscillations of Nonlinear Control Systems" (Pyatnitskiy's Conference), STAB 2018
Country/TerritoryRussian Federation
CityMoscow
Period30/05/181/06/18

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