连续型线性定常系统的Riccati代数方程的小摄动问题
The Small Disturbance Problems Associated with the Algebraic Riccati Equation of Continuous Linear Time-Invariant Systems
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摘要: 本文讨论了连续型线性定常系统摄动的Riccati代数方程所对应的稳定性问题.通过矩阵范数分析建立了摄动的Riccati代数方程的解的摄动界估计(以系统参数摄动界表出),从而提供了一种方便的实用计算方法.Abstract: The stability problem of the disturbed algebraic Riccati equation of continuous linear time-invariant systems is discussed Ln this paper. Through matrix norm analysis the estimation (expressed in terms of the disturbance range of the system parameters) of the disturbance range in the solution of the disturbed algebraic Riccati equation is established. Apparently this method is quite convenient for the practical computational purposes.
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[1] 黄琳,《系统与控制理论中的线性代数》,即将出版,科学出版社,北京. [2] Zhu Wei-ling and Hwang Ling.Some Problems Concerning Hyperstability Theorg in Design of Adaptive Control,Proceedings of Bilateral Meeting on Control Systems,Shanghai,(1981).. [3] 黄琳.郑应平,李亚普诺夫第二方法与多变量线性系统,《控制理论及应用学术会议文集》.厦门,科学出版社,(1979). [4] Stewart,G.W.,Introduction to Matrix Computations. [5] Barnett.S.,Matrices in Control Theory. [6] Barnett,S.and Storey,C.,Analysis and Synthesis of Stability Matrices,J.Diff.Eqns;(1967). [7] 黄琳.广义特征值的摄动定理,北京大学学报,4 (1978). -
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