中文摘要：

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φ0-稳定性,得到该系统相应的等度渐近φ0-稳定性和两度量实用φ0-稳定性判别准则。

英文摘要：

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.