Article ID Journal Published Year Pages File Type
1707780 Applied Mathematics Letters 2015 5 Pages PDF
Abstract

In this paper, a class of second order dissipative system equation(1)ẍ(t)+a(t)ẋ(t)+∇f(x(t))=0 is studied, where f:RN→Rf:RN→R is analytic and non-convex, a:R+→R+a:R+→R+ is continuous and nonincreasing with limt→∞a(t)=0limt→∞a(t)=0. We give a sufficient condition for the convergence of global and bounded solutions of (1). The condition shows that the rate of convergence of damping coefficient a(t)a(t) is related to the Lojasiewicz exponent of the analytic function ff.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
Authors
, ,