VIABILITY CRITERIA FOR DIFFERENTIAL INCLUSIONS
查看参考文献16篇
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文摘
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A method of verifying the viability criterion at a given point for a region with nonsmooth boundary, which is expressed by a quasidifferentiabl function, under a differential inclusion which is a convex hull of finitely many functions, is proposed. By this method, determining the viability is transformed into solving a number of systems of linear inequalities, or equivalently solving a number of linear programming problems. For the other differential inclusion, called the generalized convex process, it is shown that viability condition holds for a polytope if and only if it holds at all of its vertices. This result is an extension of corresponding one for a linear control system. |
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来源
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Journal of Systems Science and Complexity
,2011,24(5):825-834 【核心库】
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DOI
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10.1007/s11424-011-9056-6
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关键词
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Complex system
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control
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differential inclusion
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nonsmooth analysis
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viability.
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地址
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School of Management, University of Shanghai for Science and Technology, Shanghai, 200093
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语种
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英文 |
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文献类型
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研究性论文 |
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ISSN
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1009-6124 |
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学科
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数学 |
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基金
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国家自然科学基金
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上海市重点学科建设项目
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文献收藏号
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CSCD:4374639
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参考文献 共
16
共1页
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