摘要
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 。
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.
出处
《湖南大学学报(自然科学版)》
EI
CAS
CSCD
北大核心
2001年第3期52-57,共6页
Journal of Hunan University:Natural Sciences
基金
国家自然科学基金 ( 69974 0 31 )
湖南省自然科学基金重点项目( 0 0 JJY1 0 0 9)资助