一类非线性中立型系统的渐近稳定性

讨论了一类非线性中立型系统的渐近稳定性问题.引入了适当的向量Lyapunov-Krasovskii泛函，给出了不仅依赖于滞后项时滞，而且还依赖于中立项时滞的稳定性判据.改进了先前用于算子D中所施加的限制0<|α|<1.判定条件由LMIs给出，可以通过Matlab中的工具箱比较容易地进行求解.最后给出了数值仿真，以说明判据的可行性.

Asymptotic Stability on a Class of Nonlinear Neutral Systems

This work gives a criterion for asymptotic stability of a class of nonlinear neutral differential systems. By introducing suitable vector Lyapunov-Krasovskii functional, a delay dependent criterion which not only depends on the discrete delay but also on the neutral delay is presented. This paper has also broken away from the assumption of 0<|a|<1,which is used in the operator D in earlier report. The sufficient condition is expressed in terms of linear matrix inequality. In the end of the work,utilizing Mat-lab toolbox, the numerical simulation examples are presented to illustrate feasibility of the criterion.