Novel synchronization analysis for complex networks with hybrid coupling by handling multitude Kronecker product terms

This paper is concerned with the problem of global synchronization for complex networks with hybrid coupling. An innovative approach is proposed to develop delay-dependent criteria for the system, which makes use of many relaxed information to construct Lyapunov functional, and employs an integral equation method and matrix expansion method to handle multitude Kronecker product terms. The method in this paper increases the number of arbitrary matrix, and alleviates the requirements of the positive definiteness of the matrix which should be considered in many existing references. This leads to significant improvement in the performance of the synchronization results. Finally, a chaotic synchronization example is provided to show the effectiveness of the proposed results.