A class of differential-delay systems with hysteresis: Asymptotic behaviour of solutions

DOI10.1016/J.NA.2007.05.025zbMath1217.34121OpenAlexW2168735480MaRDI QIDQ929666

E. P. Ryan, Ilya A. Shvartsman, Hartmut Logemann

Publication date: 18 June 2008

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.2007.05.025

zbMATH Keywords

stabilityasymptotic behaviourhysteresis operatorsdifferential-delay equations

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) Hysteresis for ordinary differential equations (34C55) Equations with nonlinear hysteresis operators (47J40)

Related Items (10)

Differential equations with hysteresis operators. existence of solutions, stability, and oscillations ⋮ Bang-bang control of a thermostat with nonconstant cooling power ⋮ Optimal control of a population dynamics model with hysteresis ⋮ Characterization of hysteresis processes ⋮ Hopf bifurcation in symmetric networks of coupled oscillators with hysteresis ⋮ Bang-bang control of a prey-predator model with a stable food stock and hysteresis ⋮ Robust Control of Smart Material-based Actuators ⋮ Periodic solutions of a population dynamics model with hysteresis ⋮ Frequency-domain criterion for the global stability of dynamical systems with Prandtl hysteresis operator ⋮ Stability of periodic solutions for hysteresis-delay differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Input-output stability of systems with backlash
• Absolute stability of control systems with one hysteresis nonlinearity
• Asymptotically stable oscillations in systems with hysteresis nonlinearities
• Differential models of hysteresis
• Modeling and control of hysteresis in magnetostrictive actuators
• Hysteresis and phase transitions
• The method of matrix inequalities in the theory of stability of non- linear controlled systems. III: Absolute stability of systems with hysteresis non-linearities
• Systems with hysteresis in the feedback loop: existence, regularity and asymptotic behaviour of solutions
• Integral control of linear systems with actuator nonlinearities: lower bounds for the maximal regulating gain
• Approximate inversion of the Preisach hysteresis operator with application to control of smart actuators
• Mathematical Models for Hysteresis
• Integral control of infinite-dimensional systems in the presence of hysteresis: an input-output approach

This page was built for publication: A class of differential-delay systems with hysteresis: Asymptotic behaviour of solutions