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中文摘要：
利用非光滑分析,讨论线性控制系统多面体区域的生存性判别.对于有界多面体（利用有限点集的凸包来表示）,其生存性判别只需检验其在极点处是否满足生存性条件,去掉了以往对输入集合为多面体的要求,这种生存性判别方法简便易行.最后利用所给出的生存性条件讨论了生存性设计.
英文摘要：
A viability criterion of a polytopic set for a linear control system is discussed by using nonsmooth analysis. It is shown that, determining the viability of a polytopic set, which is expressed by a convex hull of a finitely many points, can be transformed into verifying the viability criteria at vertices without the assumption that the input set is an polytope, which is needed in existing criteria. This method of determining the viability is easy to be complemented. Finally, the viable design is discussed by using the proposed viability criterion.
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