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.
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页数：11
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