A Complete stability analysis of planar discrete-time linear systems under saturation

Tingshu Hu; Zongli Lin

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A Complete stability analysis of planar discrete-time linear systems under saturation

机译：饱和下平面离散时间线性系统的完整稳定性分析

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摘要

A complete stability analysis is performed on a planar discrete-time system of the form x(k + 1) = sat(Ax(k)), where A is a Schur stable matrix and sat is the saturation function. Necessary and sufficient conditions for the system to be globally asymptotically stable are given. In the process of establishing these conditions, the behaviors of the trajectories are examined in detail.

机译：在形式为 x（k + 1） = sat（Ax（k））的平面离散时间系统上进行完整的稳定性分析，其中 A 是 Schur 稳定矩阵，sat 是饱和函数。给出了系统全局渐近稳定的必要和充分条件。在建立这些条件的过程中，详细检查了轨迹的行为。

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来源
《IEEE Transactions on Automatic Control》 |2001年第6期|710-725|共16页
作者
Tingshu Hu; Zongli Lin;
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alliativecare.org;

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原文格式 PDF
正文语种英语
中图分类自动化系统;
关键词
Limit trajectories; Neural networks; saturation; Stability;

机译：极限轨迹;神经网络;饱和度;稳定性;

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A Complete stability analysis of planar discrete-time linear systems under saturation

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