Shvartsman, Ilya (Univ. of Bath), Logemann, Hartmut (Univ. of Bath), Ryan, Eugene P (Univ. of Bath)

Asymptotic Behaviour of Solutions of Second-Order Systems with Hysteretic Restoring Force

Scheduled for presentation during the Regular Session "Stability II" (FrP07), Friday, July 28, 2006, 15:20−15:45, Room H

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on April 19, 2024

Abstract

This paper is concerned with stability properties of second-order systems with hysteretic restoring force which naturally arise in mechanical engineering. Conditions ensuring ``nice" asymptotic behaviour are expressed in terms of parameters associated with the corresponding differential equation and a certain Lipschitz property of the hysteresis.