集值控制积分微分系统的两度量实用φ_0-稳定性  

Two measure φ_0-practical stability of set control integro-differential systems

作　　者：王培光[1] 陈薇[1] 

机构地区：[1]河北大学数学与信息科学学院,保定071002

出　　处：《黑龙江大学自然科学学报》2016年第2期141-148,281,共8页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(11271106);河北省自然科学基金资助项目(A2013201232)

摘　　要：给出在上拟单调增情况下连接两个高维系统的新的比较原理,为克服Lyapunov函数构造带来的困难,引入锥值Lyapunov函数概念,并利用锥值Lyapunov函数方法,研究带有控制项的集值积分微分系统的φ_0-稳定性,得到该系统相应的等度渐近φ_0-稳定性和两度量实用φ_0-稳定性判别准则。A new comparison theorem which connects two high dimensional systems is obtained in the case of upper quasi-monotone increasing. In order to overcome the difficulties caused by the construction of Lyapunov function, the concept of the cone-valued Lyapunov functions is introduced. Then the φ0- practical stability of set control integro-differential systems is studied by using cone-valued Lyapunov func- tions method, and the corresponding criterions are obtained about equi-asymptotic stability and two meas- ure φ0-practical stability.

关 键 词：集值控制积分微分系统 锥值LYAPUNOV函数 上拟单调增函数 φ0-稳定 两度量实用φ0-稳定 

分 类 号：O175.1[理学—数学]