Optimal impulsive control problems with hysteresis

Olga Samsonyuk; Sergey Timoshin

doi:10.1109/CNSA.2017.7974010

Optimal impulsive control problems with hysteresis

Olga Samsonyuk, Sergey Timoshin

RAS - Matrosov Institute for System Dynamics and Control Theory, Siberian Branch

Research output: Chapter in Book or Report/Conference proceeding › Conference Proceeding › peer-review

4 Citations (Scopus)

Abstract

This paper deals with an optimal control problem for measure-driven differential equations with hysteresis. The hysteresis is modelled as a scalar rate independent variational inequality. First, we propose a concept of solution to the impulsive control system of our measure-driven differential equations with hysteresis. In general, these solutions belong to the class of functions of bounded variation. Then, we present some approximate results for the impulsive control system with hysteresis. Finally, we establish the existence of a solution to the optimal control problem we consider.

Original language	English
Title of host publication	2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings
Editors	L. N. Polyakova
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781509062607
DOIs	https://doi.org/10.1109/CNSA.2017.7974010
Publication status	Published - 10 Jul 2017
Externally published	Yes
Event	2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Saint-Petersburg, Russian Federation Duration: 22 May 2017 → 27 May 2017

Publication series

Name	2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings

Conference

Conference	2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017
Country/Territory	Russian Federation
City	Saint-Petersburg
Period	22/05/17 → 27/05/17

Access to Document

10.1109/CNSA.2017.7974010

Cite this

Samsonyuk, O., & Timoshin, S. (2017). Optimal impulsive control problems with hysteresis. In L. N. Polyakova (Ed.), 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings Article 7974010 (2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CNSA.2017.7974010

Samsonyuk, Olga ; Timoshin, Sergey. / Optimal impulsive control problems with hysteresis. 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings. editor / L. N. Polyakova. Institute of Electrical and Electronics Engineers Inc., 2017. (2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings).

@inproceedings{d57e58d7353c458589e66e0621feef1b,

title = "Optimal impulsive control problems with hysteresis",

abstract = "This paper deals with an optimal control problem for measure-driven differential equations with hysteresis. The hysteresis is modelled as a scalar rate independent variational inequality. First, we propose a concept of solution to the impulsive control system of our measure-driven differential equations with hysteresis. In general, these solutions belong to the class of functions of bounded variation. Then, we present some approximate results for the impulsive control system with hysteresis. Finally, we establish the existence of a solution to the optimal control problem we consider.",

author = "Olga Samsonyuk and Sergey Timoshin",

note = "Publisher Copyright: {\textcopyright} 2017 IEEE.; 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 ; Conference date: 22-05-2017 Through 27-05-2017",

year = "2017",

month = jul,

day = "10",

doi = "10.1109/CNSA.2017.7974010",

language = "English",

series = "2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

editor = "Polyakova, {L. N.}",

booktitle = "2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings",

}

Samsonyuk, O & Timoshin, S 2017, Optimal impulsive control problems with hysteresis. in LN Polyakova (ed.), 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings., 7974010, 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings, Institute of Electrical and Electronics Engineers Inc., 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017, Saint-Petersburg, Russian Federation, 22/05/17. https://doi.org/10.1109/CNSA.2017.7974010

Optimal impulsive control problems with hysteresis. / Samsonyuk, Olga; Timoshin, Sergey.
2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings. ed. / L. N. Polyakova. Institute of Electrical and Electronics Engineers Inc., 2017. 7974010 (2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings).

Research output: Chapter in Book or Report/Conference proceeding › Conference Proceeding › peer-review

TY - GEN

T1 - Optimal impulsive control problems with hysteresis

AU - Samsonyuk, Olga

AU - Timoshin, Sergey

PY - 2017/7/10

Y1 - 2017/7/10

N2 - This paper deals with an optimal control problem for measure-driven differential equations with hysteresis. The hysteresis is modelled as a scalar rate independent variational inequality. First, we propose a concept of solution to the impulsive control system of our measure-driven differential equations with hysteresis. In general, these solutions belong to the class of functions of bounded variation. Then, we present some approximate results for the impulsive control system with hysteresis. Finally, we establish the existence of a solution to the optimal control problem we consider.

AB - This paper deals with an optimal control problem for measure-driven differential equations with hysteresis. The hysteresis is modelled as a scalar rate independent variational inequality. First, we propose a concept of solution to the impulsive control system of our measure-driven differential equations with hysteresis. In general, these solutions belong to the class of functions of bounded variation. Then, we present some approximate results for the impulsive control system with hysteresis. Finally, we establish the existence of a solution to the optimal control problem we consider.

UR - http://www.scopus.com/inward/record.url?scp=85027439206&partnerID=8YFLogxK

U2 - 10.1109/CNSA.2017.7974010

DO - 10.1109/CNSA.2017.7974010

M3 - Conference Proceeding

AN - SCOPUS:85027439206

T3 - 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings

BT - 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings

A2 - Polyakova, L. N.

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017

Y2 - 22 May 2017 through 27 May 2017

ER -

Samsonyuk O, Timoshin S. Optimal impulsive control problems with hysteresis. In Polyakova LN, editor, 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2017. 7974010. (2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings). doi: 10.1109/CNSA.2017.7974010

Optimal impulsive control problems with hysteresis

Abstract

Publication series

Conference

Access to Document

Other files and links

Fingerprint

Cite this