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中文摘要：
研究一类非线性不确定系统的生存性问题。基于支撑函数，给出了此系统在凸紧集下可生存的充要条件。当生存域为多面体时，分别针对多面体和的形式和交的形式给出了系统生存的充分条件。最后给出的算例表明了所提出方法的有效性，同时表明所得结果实际上给出了某类切换系统的生存性条件。
英文摘要：
The problem of viability for a class of nonlinear uncertain systems is studied. A sufficient and necessary condition of viability for the convex compact set under this system via support functions is presented. When the viable set is a polytope, sufficient conditions for the sum form and intersection form of the polytope are given to determine the viability. Finally, a numerical example is presented to illustrate the result, and the example shows that the main result also gives a condition of viability for a kind of switched systems.
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