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离散时间系统Ляпунов函数的构造与稳定性判定
引用本文:支希哲.离散时间系统Ляпунов函数的构造与稳定性判定[J].固体力学学报,1990(4).
作者姓名:支希哲
作者单位:西北工业大学
摘    要:本文旨在以矩阵的相似变换理论为基础,以电子计算机为工具,提供一种无需求解离散?矩阵方程,而直接由系统矩阵来构造离散时间系统?函数和判定系统稳定性的方法.

关 键 词:稳定性  离散时间系统  判定矩阵

A METHOD TOWARD THE CONSTRUCTION OF LIAPUNOV FUNCTION FOR DISCRETE TIME SYSTEMS AND DETERMINATION OF THEIR STABILITY
Zhi Xizhe Northwestern Polytechnic Univesity.A METHOD TOWARD THE CONSTRUCTION OF LIAPUNOV FUNCTION FOR DISCRETE TIME SYSTEMS AND DETERMINATION OF THEIR STABILITY[J].Acta Mechnica Solida Sinica,1990(4).
Authors:Zhi Xizhe Northwestern Polytechnic Univesity
Institution:Zhi Xizhe Northwestern Polytechnic Univesity
Abstract:The purpose of this paper is to present a new method for constructing Liapunov function and determining the stability of discrete time systems with a computer on the basis of the similarity transformation theory by directly applying the system matrix of the system under discussion insteed of solving the discrete Liapunov's matrix equation.
Keywords:Liapunov function  Stability  Discrete time system  Decision matrix  
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