Abstract
In this paper, a new, variational concept of asymptotical stability of zero solution to an ordinary differential system of the second order, considered in Sobolev space, is presented. Sufficient conditions for an asymptotical stability in a variational sense with respect to initial condition and functional parameter (control) are given. Relation to the classical asymptotical stability is illustrated.
Published Online: 2016-03-10
Published in Print: 2010-02-01
© 2016 by Advanced Nonlinear Studies, Inc.
