Bogolyubov-type theorem with constraints induced by a control system with hysteresis effect
type: Item
instance of: scholarly article
title: Bogolyubov-type theorem with constraints induced by a control system with hysteresis effect
zbMATH Open document ID: 1246.49004
author: A. A. Tolstonogov
author: S. A. Timoshin
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2012-08-20T00:00:00Z
Mathematics Subject Classification ID: 49J15
Mathematics Subject Classification ID: 49J45
Mathematics Subject Classification ID: 34H05
zbMATH DE Number: 6069281
zbMATH Keywords: evolution control systems
zbMATH Keywords: subdifferential
zbMATH Keywords: nonconvex constraints
zbMATH Keywords: relaxation
zbMATH Keywords: hysteresis
MaRDI profile type: Publication
full work available at URL: j.na.2012.05.028
OpenAlex ID: W2033310384
cites work: Q5770612
cites work: Existence theorems for Bolza problems in the calculus of variations
cites work: Q5589580
cites work: Q4085497
cites work: A Bogolyubov-Type Theorem with a Nonconvex Constraint in Banach Spaces
cites work: Bogolyubov's theorem under constraints generated by a controlled second-order evolution system
cites work: Bogolyubov's theorem under constraints generated by a lower semicontinuous differential inclusion
cites work: Relaxation in nonconvex optimal control problems with subdifferential operators
cites work: Q3994579
cites work: Q3477414
cites work: Differential models of hysteresis
cites work: A phase-field model with temperature dependent constraint
cites work: Ordinary differential systems describing hysteresis effects and numerical simulations
cites work: Q4652768
cites work: Parabolic PDEs with hysteresis and quasivariational inequalities
cites work: One-Dimensional Shape Memory Alloy Problems Including a Hysteresis Operator
cites work: A filtration model with hysteresis
cites work: A Prey-Predator Model with Hysteresis Effect
cites work: Measurable relations
cites work: Topological Equivalence in the Space of Integrable Vector-Valued Functions
cites work: Existence and properties of solutions of a control system with hysteresis effect
cites work: \(L_ p\)-continuous extreme selectors of multifunctions with decomposable values: Relaxation theorems
cites work: Precompact contraction of metric uniformities, and the continuity of F(t,x)
cites work: \(L_ p\)-continuous extreme selectors of multifunctions with decomposable values: Existence theorems
cites work: Necessary and sufficient conditions for L1-strong- weak lower semicontinuity of integral functionals
cites work: Q5332803
DOI: 10.1016/J.NA.2012.05.028
Recommended article: Bogolyubov-type theorem with constraints generated by a fractional control system
Recommended article: Bogolyubov’s theorem for a controlled system related to a variational inequality
Recommended article: Existence and properties of solutions of a control system with hysteresis effect
Recommended article: A relaxation result for unbounded control system with hysteresis
Recommended article: Properties of solutions of a control system with hysteresis
Recommended article: Bogolyubov's theorem under constraints generated by a controlled second-order evolution system
Recommended article: Hautus condition on the exact controllability of conservative systems
Recommended article: Variational Stability of Some Optimal Control Problems Describing Hysteresis Effects
Recommended article: Control and controllability of PDEs with hysteresis
Recommended article: Integral control of infinite-dimensional systems in the presence of hysteresis: an input-output approach
description: scientific article; zbMATH DE number 6069281