| 互补状态约束系统与微分包含的等价性研究 |
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| 引用本文： | 董潇潇,高岩.互补状态约束系统与微分包含的等价性研究[J].上海理工大学学报(社会科学版),2009,31(2). |
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| 作者姓名： | 董潇潇 高岩 |
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| 作者单位： | 上海理工大学,管理学院,上海,200093
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| 基金项目： | 国家自然科学基金，上海市重点学科建设项目? |
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| 摘 要： | 讨论了带有互补状态约束的控制系统与微分包含的等价性.利用凸分析分别讨论了带有线性等式的状态约束和状态约束函数为非光滑凸函数的互补状态约束系统与微分包含的等价问题.在两种不同的状态约束条件下,可以通过构造不同的切锥和法锥来解决具体问题.
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| 关 键 词： | 非线性控制 互补系统 微分包含 切锥 法锥 |
Equivalence between control systems with complementar constraints and differential inclusions |
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| DONG Xiao-xiao,GAO Yan.Equivalence between control systems with complementar constraints and differential inclusions[J].Journal of University of Shanghai For Science and Technilogy(Social Science),2009,31(2). |
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| Authors: | DONG Xiao-xiao GAO Yan |
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| Institution: | Business School;University of Shanghai for Science and Technology;Shanghai 200093;China |
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| Abstract: | The equivalence between control systems with complementary constraints and differential inclusions was studied.The convex analysis was used to discuss two situations:the control system with inequalities constraints and the control system with both linear equalities and inequalities constraints.The functions related to inequalities constraints are convex.In application pratical problems can be solved by constructing different tangent cone and normal cone. |
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| Keywords: | nonlinear control complementary system differential inclusion tangent cone normal cone |
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