| 离散时间系统Ляпунов函数的构造与稳定性判定 |
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| 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, 0(4) |
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| 作者姓名： | 支希哲 |
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| 作者单位： | 西北工业大学 |
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| 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.
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| 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 |
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| 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, 0(4) |
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| Authors: | Zhi Xizhe Northwestern Polytechnic Univesity |
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| Affiliation: | Zhi Xizhe Northwestern Polytechnic Univesity |
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| 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. |
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| Keywords: | Liapunov function Stability Discrete time system Decision matrix |
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