Delay-independent Synchronization in Networks of Time-delay Coupled Systems with Uncertainties

Abstract

Abstract This paper investigates synchronization in networks of systems with transmission delay couplings. In our previous works, we have already clarified the relationship between graph topology and delay-independent synchronization occurring in networks of identical chaotic systems with transmission delays. In practical situations, however, each system in networks may have slight variations of parameters, and then the synchronization manifold may not exist unlike networks consisting of identical systems. Therefore, in this paper, we consider delay-independent practical synchronization conditions for such network systems. As a result, we conclude that delay-independent synchronization is structurally stable. Numerical simulations support the validity of the obtained results.