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中文摘要：
讨论一类集值微分系统的稳定性问题。通过引入函数的上拟单调增的概念，并利用向量Lyapunov函数，给出连接两个高维系统解的新的比较定理。利用所得到的比较定理，给出集值微分系统等度稳定，等度渐近稳定和一致等度渐近稳定的判别准则。实例分析验证了所得结果的正确性。
英文摘要：
The stability problem for a class of set-valued differential systems is investigated. By introducing the no- tion of upper quasi-monotone nondecreasing of functions, a new comparison principle, which connects the solutions to two higher-dimensional differential systems with the vector Lyapunov function, is presented. Meanwhile, using the comparison principle, some criteria on the qui-stability, equi-asymptotical stability and uniform equi-asymptotical stability for the set-valued differential systems are obtained. Finally, an example was provided to illustrate the truth of the theorems.
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