A Partial Solution of the Aizerman Problem for Second-Order Systems With Delays

被引：13

作者：

Altshuller, Dmitry A. ^{[1
]}

机构：

[1] Crane Aerosp & Elect, Burbank, CA 91510 USA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2008年 / 53卷 / 09期

关键词：

Absolute stability; Aizerman problem; delay systems; frequency-domain methods;

D O I：

10.1109/TAC.2008.930193

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper considers the Aizerman problem for second-order systems with delays. It is proved that for retarded systems with a single delay the Aizerman conjecture is true. For systems with multiple delays, a delay-dependent class of systems is found, for which the Aizerman conjecture is true. The proof is based on the Popov's frequency-domain criterion for absolute stability.

引用

页码：2158 / 2160

页数：3