具有多个时滞的积分时滞系统的稳定性分析

This paper investigates the stability analysis of integral delay systems with multiple delays. A new stability condition in terms of linear matrix inequalities (LMIs) indexed by a positive integer k is provided. When k = 1, the relationship between this condition and an existing result is revealed, which shows that the proposed condition with k ≽ 2 can be less conservative than the existing ones. Based on the proposed stability condition, the robust stability problem for perturbed integral delay systems is investigated, and the results are expressed using LMIs. By using the proposed method, the stability analysis of integral time-delay systems with multiple discrete and distributed time delays are studied. Numerical examples demonstrate the effectiveness of the established results.