Narrow Results

In this paper a master-slave synchronization scheme is investigated by exploiting a dynamic output feedback control mechanism with time-delay and the influences of time-delay on synchronization are studied. Several new sufficient conditions, which are delay-independent or delay-dependent ones, are presented based on a general class of Lyapunov functions. The obtained results, expressed as matrix inequalities improve and generalize the earlier work in the literature and are readily verified via LMI control toolbox without tuning of parameters and/or matrices. The designs of the controller are implemented by solving a constrained nonlinear optimization problem. Finally, we illustrate our results on Chua's circuits and hyperchaotic attractors.

This paper presents a dynamic connection that can induce amplitude death in globally coupled oscillators. A linear analysis clarifies a local stability condition for global amplitude death. The analysis also indicates that the odd-number property, which is known in delayed feedback control, exists in global dynamic coupled oscillators. Furthermore, global amplitude death is experimentally observed in Chua's circuits coupled by an RC line.