Semistability and Weak Semistability for Nonlinear Autonomous Systems

The problem of weak stability and weak semistability analysis for nonlinear autonomous systems is investigated.Specially,by weak semistability theory and LaSalle's invariant principle,sufficient conditions for semistability of nonlinear autonomous systems are founded.By way of illustration,these results of this paper are more tractable and practical for semistability of nonlinear autonomous systems than the existing results in the literature.Several examples are included to show that the proposed method is effective.