| 一类带扰动时变系统的运动稳定性 |
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| 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. |
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| 作者姓名： | 裘兆泰 |
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| 作者单位： | 国防科技大学系统工程与数学系 |
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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1]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。
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| 关 键 词： | 矩阵测度 时变系统 稳定性 |
| 收稿时间： | 1/5/1993 12:00:00 AM |
On the Stability of Some Perturbed Systems with Variable Coefficients |
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| 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. |
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| Authors: | Qiu Zhaotai |
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| Institution: | Department of System Engineering and Mathematics |
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| Abstract: | In this paper, the concept of matrix measure is introduced. then, the stability ofsome perturbed linear and nonlinear systems with variable coefficients is discussed. Theconditions for the asymptotic stability given in 1] are improved. And the restricted con-dition given in 4] that the linear part of system is reducible in Liapunov's meaning an-nihilated. |
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| Keywords: | stability matrix measure system with variable coefficients |
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