摘要
研究乘性区间线性系统的鲁棒稳定性分析问题。首先根据特征值判据,给出单乘性区间线性系统鲁棒稳定性的充分必要条件。对于多乘性区间线性系统,给出边界值矩阵的定义。然后利用Lyapunov稳定性理论,给出多乘性区间线性系统的鲁棒稳定性判据。最后,通过1个反例说明文中方法的有效性。
The problem of multiplication interval linear systems robust stability analysis is considered in this paper. Firstly, according to eigenvalue criterion, the robust stability necessary and sufficient conditions of single-multiplication interval linear systems are given. Then the definition of boundary value matrix for multi-multiplication interval linear systems is proposed. Finally, based on Lyapunov stability theory, the robust stability criterion of multi-multiplication interval linear systems are presented. A counterexample is employed to illus-trate the validity of the analysis.
出处
《中国海洋大学学报（自然科学版）》
CAS
CSCD
北大核心
2008年第6期1013-1016,共4页
Periodical of Ocean University of China
基金
国家自然科学基金项目(60574023,40776501)
山东省自然科学重点基金项目(Z2005G01)资助
关键词
区间系统
线性系统
单乘性
多乘性
鲁棒稳定性
interval systems
linear systems
single-multiplication
multi-multiplication
robust stability
