| 线性时变系统的若干问题 |
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| 引用本文： | 张雪峰,尹萍,石琳. 线性时变系统的若干问题[J]. 辽宁石油化工大学学报, 1999, 19(1): 3 |
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| 作者姓名： | 张雪峰 尹萍 石琳 |
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| 作者单位： | 1. 抚顺科学技术情报研究所,辽宁,抚顺,113008
2. 抚顺煤矿安全仪器厂,辽宁,抚顺,113008 |
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| 摘 要： | 线性时变系统由于状态转移矩阵Ф（ｔ，ｔ０）的特性一般不能由系统矩阵的Ａ（ｔ）的特征值来表征，确定时变系统的稳定性是十分困难的。讨论了线性时变系统能控性的两个必要条件及其能稳定性的一个充分条件。在研究时变系统中利用定常系统的方法有效地解决了一些问题，为进一步研究时变系统做了一种尝试，具有一定实际意义。
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| 关 键 词： | 时变系统；能控性；能观测性；稳定性 |
| 修稿时间： | 1998-09-21 |
Some Problems of Linear Time-Varying Systems |
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| Zhang xuefeng,Yin ping,Shi Lin. Some Problems of Linear Time-Varying Systems[J]. Journal of Liaoning University of Petroleum & Chemical Technology, 1999, 19(1): 3 |
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| Authors: | Zhang xuefeng Yin ping Shi Lin |
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| Abstract: | Because characters of linear time-varying systems state transfer function matrix Φ(t,t 0) can not be expressed by the eigenvalues of system matrix A(t) generally, the time-varying stability is diffcult to be found. The two controllable necessary conditions and a sufficient condition of stability of linear time-varying systems are discussed. The problems of time-varying systems are discussed by using the time-nonvarying systems method. This method dissvoles some problems effectively. |
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| Keywords: | Time-varying systems Controllable Observerable Stability |
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