Existence and properties of solutions of a control system with hysteresis effect

DOI10.1016/j.na.2011.04.004zbMath1225.93060OpenAlexW2020771668MaRDI QIDQ548620

A. A. Tolstonogov, Sergey A. Timoshin

Publication date: 29 June 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.04.004

zbMATH Keywords

hysteresisMosco convergenceextreme pointssubdifferentialnonconvex constraintsevolution control systems

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (8)

Robust and nonlinear control literature survey (No. 26) ⋮ Control system with hysteresis and delay ⋮ Bang-bang control of a thermostat with nonconstant cooling power ⋮ A relaxation result for unbounded control system with hysteresis ⋮ Bogolyubov-type theorem with constraints induced by a control system with hysteresis effect ⋮ Properties of solutions of a control system with hysteresis ⋮ A control problem in phase transition modeling ⋮ Coupled ODEs Control System with Unbounded Hysteresis Region

Cites Work

• Differential models of hysteresis
• Ordinary differential systems describing hysteresis effects and numerical simulations
• \(L_ p\)-continuous extreme selectors of multifunctions with decomposable values: Existence theorems
• Hysteresis and phase transitions
• \(L_ p\)-continuous extreme selectors of multifunctions with decomposable values: Relaxation theorems
• Models of phase transitions
• A system of ODEs with a hysteresis effect
• Topological Equivalence in the Space of Integrable Vector-Valued Functions
• Continuous selections for a class of non-convex multivalued maps
• Measurable relations
• Properties of the set of admissible “state-control” pairs for first-order evolution control systems
• Mosco convergence of integral functionals and its applications
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