Delay-dependent Synchronization Criteria Research Articles

Synchronization criteria of time-delay feedback control system with sector-bounded nonlinearity

In this paper, a synchronization criterion of time-delay feedback control system with sector-bounded nonlinearity has been considered. First, several new delay-independent and delay-dependent sufficient conditions have been derived by using the Lyapunov functional method and linear matrix inequality (LMI) approach. Then, some new less conservative delay-dependent synchronization criteria are derived by applying free weighting matrices to express the relationships between the terms in the Leibniz–Newton formula. Finally, a numerical example is presented to illustrate the effectiveness of the method.

DELAY-DEPENDENT SYNCHRONIZATION CRITERION FOR LUR'E SYSTEMS WITH DELAY FEEDBACK CONTROL

A master-slave synchronization scheme for Lur'e systems is studied for a known delay existing between master and slave systems. Based on the latest development of stability studies for time-delay systems, a new delay-dependent synchronization criterion is derived by the free-weighting matrix approach. The criterion shown by example is less conservative than the existing synchronization criteria.

New delay-dependent synchronization criteria for Lur'e systems using time delay feedback control

This Letter is concerned with the problem of master–slave synchronization for Lur'e systems using time delay feedback control. Based on a more general Lur'e–Postnikov Lyapunov functional, some new delay-dependent synchronization criteria are obtained and formulated in the form of linear matrix inequalities (LMIs). These criteria cover some existing results as their special cases. In order to obtain less conservative results, no model transformation is involved through derivation of the synchronization criteria. An example shows that the result obtained in this Letter significantly improves some existing one.

MASTER–SLAVE SYNCHRONIZATION OF LUR'E SYSTEMS WITH TIME-DELAY

In this paper time-delay effects on the master–slave synchronization scheme are investigated. Sufficient conditions for master–slave synchronization of Lur'e systems are presented for a known time-delay in the master and slave systems. A delay-dependent synchronization criterion is given based upon a new Lyapunov–Krasovskii function. The derived criterion is a sufficient condition for global asymptotic stability of the error system, expressed by means of a matrix inequality. The feedback matrix follows from solving a nonlinear optimization problem. The method is illustrated for the synchronization of Chua's circuits, 5-scroll attractors and hyperchaotic attractors.