On companion systems with state saturation nonlinearity

被引：26

作者：

Ooba, T ^{[1
]}

机构：

[1] Nagoya Inst Technol, Dept Mech Engn, Nagoya, Aichi 4668555, Japan

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 2003年 / 50卷 / 12期

关键词：

absence of overflow oscillations; linear discrete-time companion systems; polyhedral Lyapunov functions; state saturation nonlinearity;

D O I：

10.1109/TCSI.2003.819808

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：

This brief studies the problem of how to check whether a discrete-time companion system with state saturation nonlinearity is free from overflow oscillations or not. The necessary and sufficient condition for the absence of overflow oscillations is established, and the condition is found to be equivalent to the existence of a polyhedral Lyapunov function absorbing state saturation nonlinearity. In this connection, it is stressed that the use of quadratic Lyapunov functions has its limitations in the overflow oscillation analysis. A special topic concerned with Enestrom-Kakeya polynomials is discussed as well.

引用

页码：1580 / 1584

页数：5

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