| 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.[点击复制] |
| GAO Yan.Determining the viability for a affine nonlinear control system[J].Control Theory and Technology,2009,26(6):654~656.[点击复制] |
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| 仿射非线性控制系统生存性的判别 |
| Determining the viability for a affine nonlinear control system |
| 摘要点击 1361 全文点击 1091 投稿时间：2007-05-31 修订日期：2009-01-16 |
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| DOI编号 10.7641/j.issn.1000-8152.2009.6.013 |
| 2009,26(6):654-656 |
| 中文关键词 非线性控制 仿射非线性 生存性 非光滑分析 |
| 英文关键词 nonlinear control affine nonlinearity viability nonsmooth analysis |
| 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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| 中文摘要 |
| 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． |
| 英文摘要 |
| 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. |