非线性时滞奇异系统的严格实用稳定性研究  

STRICT PRACTICAL STABILITY OF NONLINEAR SINGULAR SYSTEMS WITH TIME DELAY

作　　者：王贵元 杨卓琴[1] Wang Guiyuan;Yang Zhuoqin(School of Mathematics and Systems Science and LMIB,Beihang University,Beijing 100191,China)

机构地区：[1]北京航空航天大学数学与系统科学学院数学信息与行为科学教育部重点实验室,北京100191

出　　处：《动力学与控制学报》2018年第4期317-323,共7页Journal of Dynamics and Control

基　　金：国家自然科学基金(11472009)~~

摘　　要：将严格实用稳定性相关概念推广到具有控制输入的非线性奇异系统,利用两个Lyapunov函数方法和比较原理,得出其严格实用稳定及严格实用渐近稳定的判别准则.另外,我们给出了含有时滞的非线性奇异系统关于两个测度严格实用稳定的定义,并得出该类系统严格实用稳定及严格实用渐近稳定的充分条件.In this paper,we give the definitions of strict practical stability in nonlinear singular systems with control input. The discriminate criterion of strict practical stability and strict practical asymptotic stability are derived by two Lyapunov functions and a comparison principle. Furthermore,we define strict practical stability for the nonlinear singular systems with time delay in terms of two measurements and give sufficient conditions of the strict practical stability.

关 键 词：非线性奇异系统 严格实用稳定性 LYAPUNOV函数 比较原理 时滞 

分 类 号：O175.13[理学—数学]