数学物理学报(英文版) ›› 1985, Vol. 5 ›› Issue (3): 309-317.
张钟俊, 钱振英
Zhang Zhongjun, Qian Zhenying
摘要: This paper is concerned with the stability analysis of a class of linear time-invariant 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.