Coupled odes control system with unbounded hysteresis region

Pavel Krejčí; Sergey A. Timoshin

doi:10.1137/15M1018915

Coupled odes control system with unbounded hysteresis region

Pavel Krejčí
, Sergey A. Timoshin

Czech Academy of Sciences
RAS - Matrosov Institute for System Dynamics and Control Theory, Siberian Branch

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

This paper addresses a control system governed by two ODEs with a hysteresis nonlinearity of generalized play type. The characteristic curves describing the hysteresis region are allowed to be unbounded and are not necessarily monotone. The existence of solutions and some of their properties are established for our control system.

Original language	English
Pages (from-to)	1934-1949
Number of pages	16
Journal	SIAM Journal on Control and Optimization
Volume	54
Issue number	4
DOIs	https://doi.org/10.1137/15M1018915
Publication status	Published - 2016
Externally published	Yes

Keywords

Extreme points
Hysteresis
Nonconvex constraints
Nonlinear evolution control systems
Relaxation
Subdifferential

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10.1137/15M1018915

Cite this

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title = "Coupled odes control system with unbounded hysteresis region",

abstract = "This paper addresses a control system governed by two ODEs with a hysteresis nonlinearity of generalized play type. The characteristic curves describing the hysteresis region are allowed to be unbounded and are not necessarily monotone. The existence of solutions and some of their properties are established for our control system.",

keywords = "Extreme points, Hysteresis, Nonconvex constraints, Nonlinear evolution control systems, Relaxation, Subdifferential",

author = "Pavel Krej{\v c}{\'i} and Timoshin, \{Sergey A.\}",

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AU - Krejčí, Pavel

AU - Timoshin, Sergey A.

PY - 2016

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AB - This paper addresses a control system governed by two ODEs with a hysteresis nonlinearity of generalized play type. The characteristic curves describing the hysteresis region are allowed to be unbounded and are not necessarily monotone. The existence of solutions and some of their properties are established for our control system.

KW - Extreme points

KW - Hysteresis

KW - Nonconvex constraints

KW - Nonlinear evolution control systems

KW - Relaxation

KW - Subdifferential

UR - https://www.scopus.com/pages/publications/84984991219

U2 - 10.1137/15M1018915

DO - 10.1137/15M1018915

M3 - Article

AN - SCOPUS:84984991219

SN - 0363-0129

VL - 54

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EP - 1949

JO - SIAM Journal on Control and Optimization

JF - SIAM Journal on Control and Optimization

IS - 4

ER -

Coupled odes control system with unbounded hysteresis region

Abstract

Keywords

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