STABILITY ANALYSIS OF LARGE-SCALE SYSTEMS WITH MULTIPLE DELAYS

作     者：张钟俊 钱振英 Zhang Zhongjun Qian Zhenying Dept. of EECS, Shanghai Jiao Tong University, Shanghai, China

作者机构：Dept. of EECS Shanghai Jiao Tong University Shanghai China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报(英文版))

年 卷 期：1985年第5卷第3期

页      面：309-317页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：STABILITY ANALYSIS OF LARGE SCALE SYSTEMS WITH MULTIPLE DELAYS 

摘      要：This paper is concerned with the stability analysis of a class of linear timeinvariant large-scale systems with multiple delays. By using the properties of matrices, a sufficient condition of absolute stability is first derived for low order systems, described by differential-difference equations. Then a comparison theorem is presented for differential-difference inequalities. Finally, a sufficient condition of absolute stability for large-scale systems with multiple delays is established by using the aggregation technique based on vector Lyapunov functions. A numerical example is also given to illustrate the applicability of the stability criterion obtained in this paper.