Viability Discrimination of a Class of Control Systems on a Nonsmooth Region

Na Zhao, Jianfeng Lv, Jinlin Yang and Xinzhi Liu

Discrete Dynamics in Nature and Society, 2014, vol. 2014, 1-6

Abstract:

The viability problem is an important field of study in control theory; the corresponding research has profound significance in both theory and practice. In this paper, we consider the viability for both an affine nonlinear hybrid system and a hybrid differential inclusion on a region with subdifferentiable boundary. Based on the nonsmooth analysis theory, we obtain a method to verify the viability condition at a point, when the boundary function of the region is subdifferentiable and its subdifferential is convex hull of many finite points.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:127185

DOI: 10.1155/2014/127185

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