一类非线性控制系统可生存性的判别

Determining the Viability for a Class of Nonlinear Control Systems

摘要: 讨论了一类微分包含可生存性的判别问题．基于非光滑分析理论，通过判别一个线性不等式组的相容性，或等价地求解一个辅助的线性规划问题，来判别此微分包含在一点处是否满足可生存性条件．

Abstract: This paper is devoted to the viability of a class of differential inclusions. Based on the theory of nonsmooth analysis, the viability condition of this class of differential inclusions at a point is verified by determining the consistency of a system of linear inequalities, or equivalently, by solving an auxiliary linear programming problem.