Well-Posedness and Asymptotic Stability of Nonlinear Equations with Delay And Application in Descriptor Systems

摘要

There have been many criteria on well-posedness and asymptotic stability for nonlinear algebra equations with delay. However, it is inconvenient to discuss descriptor systems by using these criteria. In this paper, new sufficient conditions for wellposedness and asymptotic stability of nonlinear algebra equations with delay are given. Based on these conditions, the criteria on well-posedness and asymptotic stability for nonlinear descriptor systems with delay are proposed conveniently. Finally, the effectiveness of the approach is illustrated by a numerical example.