Revision and improvement of a Theorem for robust synchronization of nonidentical Lur´e systems

In 1999, Suykens, Curran, and Chua obtained some nice results for robust synchronization of the master-slave Lur´e systems with parameter mismatch. Lately, it has been found that, in Theorem 2 of Suykens-Curran-Chua, there exists a defect on the estimation of the synchronization error bound. In this paper, a counterexample is taken to verify this defect and then a revision of the theorem is given. Finally, an improved version of the revised theorem is proposed to make the estimation more precise.