Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1707780 | Applied Mathematics Letters | 2015 | 5 Pages |
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
Bo Wen, Xiaoping Xue,