| 仿射非线性控制系统生存性的判别 |
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| 引用本文： | 高,岩.仿射非线性控制系统生存性的判别[J].控制理论与应用,2009,26(6):654-656. |
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| 作者姓名： | 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： | 国家自然科学基金资助项目(10671126); 上海市重点学科建设项目(S30501); 上海市科委基础研究重点项目资助项目(06JC14057). |
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| 摘 要： | 讨论了仿射非线性控制系统关于由不等式表示的区域生存性判别问题．基于非光滑分析理论, 给出了在一点处检验生存性条件是否成立的方法, 该方法将生存性条件的检验转化为判别凸不等式组的相容性(是否有解),然后利用投影方法对凸不等式组的相容性进行判别．
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| 关 键 词： | 非线性控制 仿射非线性 生存性 非光滑分析 |
| 收稿时间： | 2007/5/31 0:00:00 |
| 修稿时间： | 2009/1/16 0:00:00 |
Determining the viability for a affine nonlinear control system |
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| GAO Yan.Determining the viability for a affine nonlinear control system[J].Control Theory & Applications,2009,26(6):654-656. |
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| Authors: | GAO Yan |
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| Affiliation: | School of Management, University of Shanghai for Science and Technology, Shanghai 200093, China |
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| Abstract: | This paper is devoted to the viability condition for an affine nonlinear control system in a region defined by inequality constraints. Based on the nonsmooth analysis, we give a method of determining the viability condition at a point. In this method, the determination of the viability is transformed into the determination of the consistency of a system of convex inequalities (the existence of a solution), then, a project method is applied to solve the convex inequalities. |
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| Keywords: | nonlinear control affine nonlinearity viability nonsmooth analysis |
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