仿射非线性控制系统关于一类非光滑区域的可生存性判别

Determining the Viability for Affine Nonlinear Control Systems in a Class of Region with Nonsmooth Boundary

讨论了仿射非线性控制系统关于由次可微函数构成的非光滑区域的生存性判别问题.基于非光滑分析理论,给出了在一点处检验生存性条件是否成立的方法,即将生存性条件的检验转化为判别凸不等式组的相容性,并给出例子说明如何具体判别.

The viability condition for an affine nonlinear control system in a non-smooth region defined by subdifferential functions is discussed.Based on the non-smooth theory,a method of determining the viability condition at a point is given.In this method,the determination of the viability is transformed into the determination of the consistency of a system of convex inequalities.Examples are presented to illustrate the results.