矩阵论在解线性定常系统状态方程中的应用

doi:10.16039/j.cnki.cn22-1249.2019.11.019

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摘要

本文讨论了线性定常系统的状态方程求解，得到了在特殊条件下，状态方程的求解方法，并且研究了线性定常系统状态方程的解在李雅普诺夫意义下的稳定性，得到了构造李雅普诺夫函数的新方法以及在一定条件下对线性定常连续系统和离散系统的李雅普诺夫方程的求解方法，该求解方法适合在计算机上编程运算。

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	刘兆鹏
	李杰

关键词: 矩阵论状态方程李雅普诺夫方程稳定性

Abstract:

The paper discusses the state equation of regular linear systems and in special conditions the solution of the state equation is obtained. the paper analyzes the Lyapunov stability of the regular linear systems. Through the in-deep research on Lyapunov theorem a new method to construct Lyapunov function is found. The solution of the Lyapunov equation is very important too. The author finds a way to solve the Lyapunov equation of the continuous or discrete regular linear systems. This approach suits to make a program to solve the Lyapunov equation on the computer.

Key words: matrix theory state equation Lyapunov equation stability

出版日期: 2019-11-25 发布日期: 2019-11-25 整期出版日期: 2019-11-25

O151.2

引用本文:

刘兆鹏, 李杰. 矩阵论在解线性定常系统状态方程中的应用 [J]. 吉林化工学院学报, 2019, 36(11): 81-85.
LIU Zhaopeng, LI Jie. Application of Matrix Theory Solving the Linear Fixed Constant System State Equations . Journal of Jilin Institute of Chemical Technology, 2019, 36(11): 81-85.

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https://xuebao.jlict.edu.cn/CN/10.16039/j.cnki.cn22-1249.2019.11.019 或 https://xuebao.jlict.edu.cn/CN/Y2019/V36/I11/81

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