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

被引：19
|
作者：
Hu, TS [1 ]
Lin, ZL [1 ]
机构：
[1] Univ Virginia, Dept Elect Engn, Charlottesville, VA 22903 USA
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 2001年 / 48卷 / 06期
关键词：
limit trajectories; neural networks; saturation; stability;
D O I：
10.1109/81.928154
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
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.
引用
收藏
页码：710 / 725
页数：16
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