Global asymptotic stabilization of autonomous bilinear complex systems

被引：1

作者：

Zaitsev, Vasilii ^{[1
]}

机构：

[1] Udmurt State Univ, Lab Math Control Theory, Izhevsk 426034, Russia

来源：

EUROPEAN JOURNAL OF CONTROL | 2022年 / 65卷

基金：

俄罗斯基础研究基金会;

关键词：

Autonomous bilinear system; Complex-valued systems; Global asymptotic stabilization; State feedback control; Lyapunov function; Jurdjevic-Quinn conditions; FEEDBACK STABILIZATION; POLE-PLACEMENT; DECAY ESTIMATE; CONTROLLABILITY; ASSIGNMENT;

D O I：

10.1016/j.ejcon.2022.100644

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We consider bilinear autonomous control systems in the complex space. To solve the problem of stabilization of these systems, we apply the method of Lyapunov functions to complex-valued systems. The Jurdjevic-Quinn approach is used which is based on the Barbashin-Krasovsky-La Salle theorem on global asymptotic stability. We obtain sufficient conditions for global asymptotic stabilization of a bilinear complex system by real state feedback. Finally, examples of using the obtained results are presented. (C) 2022 European Control Association. Published by Elsevier Ltd. All rights reserved.

引用

页数：11

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