An Improved Reciprocally Convex Inequality and Application to Stability Analysis of Time-Delay Systems Based on Delay Partition Approach

摘要: In this paper, the problem of stability analysis for linear continuous-time systems with constant discrete and distributed delays is investigated. First, an improved reciprocally convex lemma presented, which a generalization existing inequalities can be directly applied in case that delay interval divided into $N\geq 2$ subintervals. Second, combining auxiliary functions-based integral partition approach, novel criterion given terms matrix inequalities. Finally, three numerical examples are their results compared results. The comparison shows proposed paper provide larger upper bounds than other ones.