Improved Fragmentation Looped-Functional for Synchronization of Chaotic Lur'e Systems

This brief investigates the synchronization problem of chaotic Lur'e systems by employing sampled-data control. First of all, a new fragmentation approach is provided based on two partition coefficients, which can divide the sampling interval into four parts. Next, taking the fragmented states into account, a novel fragmentation looped-functional is constructed. Then, not only the fragmented states, but also the fragmented state system equations are utilized in the sufficient synchronization conditions. Moreover, according to the transformed free-matrix-based integral inequality (TFMBII) and Schur complement, the synchronization criterion is presented in the form of linear matrix inequalities (LMIs). Eventually, the effectiveness and superiority of the proposed criterion are illustrated through a benchmark numerical example.