| 引用本文: | 张毅.非线性时变大系统的关联稳定性[J].控制理论与应用,1987,4(3):48~56.[点击复制] |
| Zhang Yi.THE CONNECTIVELY STABILITY OF THE NONLINEAR TIME-VARYING LARGE-SCALE SYSTEMS[J].Control Theory and Technology,1987,4(3):48~56.[点击复制] |
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| 非线性时变大系统的关联稳定性 |
| THE CONNECTIVELY STABILITY OF THE NONLINEAR TIME-VARYING LARGE-SCALE SYSTEMS |
| 摘要点击 1071 全文点击 457 投稿时间：1985-11-22 修订日期：1986-07-16 |
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| DOI编号 |
| 1987,4(3):48-56 |
| 中文关键词 |
| 英文关键词 |
| 基金项目 |
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| 中文摘要 |
| 本文是由两部分组成。第一部分是用参数变易法研究具有分解
dxi/dt = Ai(t)xi + gi(t, x) (i = 1, …, r) (1)
的复合系统零解的关联稳定性（其中Ai(t)、xi、gi(t, x)的意义见本文），得到系统(1)的零解是关联稳定的充分条件；第二部分使用Lyapunov函数的方法研究具有分解
dxi/dt = fi(t, xi) + gi(t, x) (i = 1, …, r) (2)
的复合系统零解的关联稳定性，得到系统(2)的零解是关联稳定的充分条件。 |
| 英文摘要 |
| This paper consists of two parts. In the first part, by the method of variation of parameters, we study the connectively stability of the following nonlinear Large-scale systems
dxi/dt = Ai(t)xi + gi(t, ei1x1, …, eirxr) (i = 1, …, r) (2.1)
In the second part, using the method of constructing Lyapunov’s function, we consider the connective stability of following nonlinear time-varying large-scale systems
dxi/dt = fi(t, xi) + gi(t, ei1x1, …, eirxr) (i = 1, …, r) (3.1)
Some sufficient conditions of asymptotical connective stability of null solution of systems (2.1) and (3.1) are obtained. |
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