邱深山,邵华开,龚希堂,邵晓叶

• 1:大庆石油学院计控系

• 2:大庆石油学院计控系

• 3:大庆石油学院计控系

• 4:大庆石油学院附中

摘要(Abstract)：

给出了线性滞后系统挠动稳定的充分条件。由于判定线性滞后系统的I·O·D渐近稳定性比较困难,特别在计算时不可避免要产生误差,因此我们用矩阵理论得到易于计算的挠动界。并举例说明了定理的应用。

关键词(KeyWords)：稳定性;[滞后系统];[I.O.D.渐近稳定性]

Abstract:

Keywords:

基金项目(Foundation):

作者(Author):邱深山,邵华开,龚希堂,邵晓叶

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参考文献(References)：

• [1] Osipov YS. Stabilization of Controlled Systems with Delays. Differential Equations, 1(1965) :463

• [2] Ikeda M and Ohta J. Stabilization of Linear Systems with Time Delay. Trans. Soc. Instrum. & Control Engng.,12(1976) : 637(in Japanese)

• [3] Kwon WH and Pearson AE. A Note on Feedback Stabilization of a Differential-Difference System. IEEE Trans Aut. Control, AC--22(1977) :468

• [4] Ikeda M and Ashida T. Stabilization of Linear Systems with Time-varying Delay. IEEE Trans Aut. Control,AC--24(1979) : 369

• [5] Thowsen A. Stabilization of a Class of Linaer Time-delay Systems. Int. J. Systems Sci.,12(1981) :1485

• [6] Felichi A and Thowsen A. Memoryless Stabilization of Linear Delay-differential Systems. IEEE Trans Aut. Control, AC--26 (1981) :586

• [7] 邱深山,刘明珠,储锺武.双延迟薇分方程的I.O.D.渐进稳定性质.哈尔滨工业大学学报(1991年增刊):59-62

• [8] 张作元.滞后型方程X′(t)=AX(t)+B(t-r)全时滞稳定的代数判据.科学通报,32:16(1986) :1768-1771

• [9] 寥晓昕.线性时滞系统的稳定性.数学年刊,12A:2(1991) :171-177

• [10] Mori T. Noldus E and Kuwahara M. A Way to Stabilize Linear Systems with Delayed State. Automatica, 1983, 19(5)

• [11] Wilkinson JH. The Algebraic Eigenvalue Problem. (Oxford: Clarendon Press(1965) )