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

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

5 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

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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 - Timoshin, Sergey A.

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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

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DO - 10.1137/15M1018915

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EP - 1949

JO - SIAM Journal on Control and Optimization

JF - SIAM Journal on Control and Optimization

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ER -

Coupled odes control system with unbounded hysteresis region

Abstract

Keywords

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