Global feedback stabilization of multi-input bilinear systems

被引：5
|
作者：
Shen, Jinzhong [1 ]
Zhu, Yuanguo [1 ]
机构：
[1] Nanjing Univ Sci & Technol, Dept Appl Math, Nanjing 210094, Jiangsu, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2013年 / 26卷 / 08期
基金：
美国国家科学基金会;
关键词：
Bilinear systems; Asymptotic stability; Lyapunov function; Exponential convergence; Homogeneous function;
D O I：
10.1016/j.aml.2013.02.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper mainly investigates the problem of stabilization of homogeneous bilinear systems with multiple inputs. Explicit state feedback laws are given to stabilize the bilinear systems. Meanwhile, an estimate of the convergence speed is obtained under the given feedback laws. Besides, sufficient conditions, which are easy to be verified, are presented for the stabilization of the bilinear systems. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码：820 / 825
页数：6
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