| 引用本文: | 裘兆泰.一类带扰动时变系统的运动稳定性.[J].国防科技大学学报,1993,15(4):71-77.[点击复制] |
| Qiu Zhaotai.On the Stability of Some Perturbed Systems with Variable Coefficients[J].Journal of National University of Defense Technology,1993,15(4):71-77[点击复制] |
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| 一类带扰动时变系统的运动稳定性 |
| 裘兆泰 |
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(系统工程与数学系)
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| 摘要: |
| 本文引进矩阵测度概念，讨论了一类带扰动的线性与非线性时变系统的运动稳定性，所得到的渐近稳定性条件改进了文[l]的结果，并去掉了文[4]中要求系统的线性部分为李雅普诺夫可化组的限制条件。 |
| 关键词: 矩阵测度，时变系统，稳定性 |
| DOI： |
| 投稿日期：1993-01-05 |
| 基金项目: |
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| On the Stability of Some Perturbed Systems with Variable Coefficients |
| Qiu Zhaotai |
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(Department of System Engineering and Mathematics)
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| Abstract: |
| In this paper，the concept of matrix measure is introduced. then，the stability of some perturbed linear and nonlinear systems with variable coefficients is discussed. The conditions for the asymptotic stability given in [1] are improved. And the restricted condition given in [4] that the linear part of system is reducible in Liapunov's meaning annihilated. |
| Keywords: stability,matrix measure,system with variable coefficients |
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