| 引用本文: | 陈彭年,贺建勋.一类控制有约束的非线性系统的全局可控性[J].控制理论与应用,1986,3(2):94~99.[点击复制] |
| Chen Pengnian, He Jianxun.GLOBAL CONTROLLABILITY OF A CLASS OF NONLINEAR SYSTEMS WITH RESTRAINED CONTROL[J].Control Theory and Technology,1986,3(2):94~99.[点击复制] |
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| 一类控制有约束的非线性系统的全局可控性 |
| GLOBAL CONTROLLABILITY OF A CLASS OF NONLINEAR SYSTEMS WITH RESTRAINED CONTROL |
| 摘要点击 967 全文点击 376 投稿时间：1984-08-21 修订日期：1985-08-20 |
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| DOI编号 |
| 1986,3(2):94-99 |
| 中文关键词 |
| 英文关键词 |
| 基金项目 |
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| 中文摘要 |
| 本文考虑非线性控制系统x·=A(t)x+K(t，u)+g(t，x，u)，u·∈?（t）的全局可控性，去掉了文献[2,3,4]中关于X-1(t)g(t，x，u) （X(t)是微分方程x·= A(t)x的标准基解矩阵）积分有界的要求，得到了充分条件，并举例说明其应用。 |
| 英文摘要 |
| In this paper, we consider the global controllability of system
x?=A(t)x+K(t，u)+g(t，x，u)，u?∈?（t）, (1)
where x∈Rn, A(t) is an nXn matrix of continuous function on [0,∞）K:[0,∞）X Rm→Rn and g:[0,∞)X Rn X Rm→Rn are continuous, and ?（t）is a continuous multifunction on [0,∞）taking its values in nonempty compact subset of Rm. We give up the limit that X-1(t) g(t，x，u) （X(t) is the fundamental matrix solution of x?= A(t)x such that X(0)=Ⅰ）is integrably bounded on [0,∞)X ?, which is required in several reference, and obtain sufficient condition for global controllability of system (1). We give an example to show the result is applicable for a class of systems. |
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