Viability Discrimination of a Class of Control Systems on a Nonsmooth Region
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 subdiffer...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/127185 |
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| _version_ | 1832549997385613312 |
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| author | Na Zhao Jianfeng Lv Jinlin Yang Xinzhi Liu |
| author_facet | Na Zhao Jianfeng Lv Jinlin Yang Xinzhi Liu |
| author_sort | Na Zhao |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-55b1737cf28640d3b7e2c8644ab5a030 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-55b1737cf28640d3b7e2c8644ab5a0302025-02-03T06:08:02ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/127185127185Viability Discrimination of a Class of Control Systems on a Nonsmooth RegionNa Zhao0Jianfeng Lv1Jinlin Yang2Xinzhi Liu3School of Mathematics, Physics and Biological Engineering, Inner Mongolia University of Science and Technology, Baotou 014010, ChinaSchool of Mathematics, Physics and Biological Engineering, Inner Mongolia University of Science and Technology, Baotou 014010, ChinaSchool of Mathematics, Physics and Biological Engineering, Inner Mongolia University of Science and Technology, Baotou 014010, ChinaDepartment of Applied Mathematics, University of Waterloo, Waterloo, ON, N2L 3G1, CanadaThe 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.http://dx.doi.org/10.1155/2014/127185 |
| spellingShingle | Na Zhao Jianfeng Lv Jinlin Yang Xinzhi Liu Viability Discrimination of a Class of Control Systems on a Nonsmooth Region Discrete Dynamics in Nature and Society |
| title | Viability Discrimination of a Class of Control Systems on a Nonsmooth Region |
| title_full | Viability Discrimination of a Class of Control Systems on a Nonsmooth Region |
| title_fullStr | Viability Discrimination of a Class of Control Systems on a Nonsmooth Region |
| title_full_unstemmed | Viability Discrimination of a Class of Control Systems on a Nonsmooth Region |
| title_short | Viability Discrimination of a Class of Control Systems on a Nonsmooth Region |
| title_sort | viability discrimination of a class of control systems on a nonsmooth region |
| url | http://dx.doi.org/10.1155/2014/127185 |
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