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

Na Zhao | Zendy; Jianfeng Lv | Zendy; Jinlin Yang | Zendy; Xinzhi Liu | Zendy

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

Author(s) -

Na Zhao,

Jianfeng Lv,

Jinlin Yang,

Xinzhi Liu

Publication year - 2014

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2014/127185

Subject(s) - differential inclusion , affine transformation , class (philosophy) , mathematics , boundary (topology) , subderivative , convex hull , function (biology) , nonlinear system , field (mathematics) , point (geometry) , regular polygon , computer science , mathematical optimization , pure mathematics , mathematical analysis , convex optimization , artificial intelligence , physics , geometry , quantum mechanics , evolutionary biology , biology

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

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