具有多个时滞的非线性不确定系统的鲁棒稳定和镇定

应用Lyapunov稳定性理论，讨论了一类给出范数扰动界的具有多个时滞的不确定非线性系统的鲁棒稳定性和稳定衰减率，给出了该系统鲁棒稳定的充分条件和具有确定衰减率的稳定条件。同时讨论了一类具有多个时滞的非线性控制系统鲁棒镇定的充分条件，本文给出的结论推广和改进了前人一系列结论。文末，给出了说明该文结论优越性的一个示例并与前人的结论作了比较。

Robustness Stability and Stabilization of Uncertain Nonlinear Systems with Multiple Time-Delays

By applying the Lyapunov stability theory,the robustness stability and stability decaying rate of a type of uncertain nonlinear system with multiple time delays and bounded perturbations are studied.Sufficient conditions of robustness stability and stability decaying rate for the above system are given.The robustness stabilization of a type of uncertain nonlinear control system with multiple time delays and bounded perturbations are studied also.A number of previous results have been improved and extended.Lastly,A numerical example is given to illustrate the superiority of our results and makes a comparison with those available in the literature.