摘要：This paper investigates the bound of a reachable set for linear systems with discrete and distributed delays. By utilizing the Lyapunov-Krasovskii functional, delay decomposition technique, reciprocally convex method and free-weighting matrix approach, some new results in the form of linear matrix inequalities are derived. Finally, a tighter bound of the reachable set is obtained. Three numerical examples are given to illustrate the effectiveness and advantage of the proposed results compared with the existing criteria.
关键词：reachable set ; distributed delay ; Lyapunov-Krasovskii functional ; linear matrix inequality
