Novel integral inequality approach on master–slave synchronization of chaotic delayed Lur’e systems with sampled-data feedback control

Abstract

This paper proposes a novel approach to study the problem of master-slave synchronization for chaotic delayed Lur'e systems with sampled-data feedback control. Specifically, first, it is assumed that the sampling intervals are randomly variable but bounded. By getting the utmost out of the usable information on the actual sampling pattern and the nonlinear part condition, a newly augmented Lyapunov-Krasovskii functional is constructed via a more general delay-partition approach. Second, in order to obtain less conservative synchronization criteria, a novel integral inequality is developed by the mean of the new adjustable parameThis work was supported by National

Event-Triggered Output Synchronization in Master-Slave Lur’e Systems with Heterogeneous Dimensions

“…It is worth pointing out that the dynamical behavior of chaotic systems is highly sensitive to small changes of any initial conditions, and that the state trajectories in phase space are bounded due to the existence of nonlinearity. Therefore, the problem of chaos synchronization has been widely investigated and a large number of elegant results have been reported in recent years [1,[3][4][5][6][7][8][9][10][11]15,22,[28][29][30][31][32][33][34][35][36][37][38][39][40][41][42].…”

“…Thus, in [6,15,[30][31][32][33]35,36,41,42], the sampled-data controller was designed to discuss the master-slave issue and the algorithms of controller gains were given together with the application in secure communication [33]. In [31,32], based on two novel integral inequalities, the stochastic sampling control has been deeply studied and some less conservative results have been presented.…”

“…Thus, in [6,15,[30][31][32][33]35,36,41,42], the sampled-data controller was designed to discuss the master-slave issue and the algorithms of controller gains were given together with the application in secure communication [33]. In [31,32], based on two novel integral inequalities, the stochastic sampling control has been deeply studied and some less conservative results have been presented. It is worth noting that the synchronization schemes in [6,[30][31][32][33]41,42] are based on the condition that there is a perfect communication channel between the measurement of the system and the input.…”

“…In [31,32], based on two novel integral inequalities, the stochastic sampling control has been deeply studied and some less conservative results have been presented. It is worth noting that the synchronization schemes in [6,[30][31][32][33]41,42] are based on the condition that there is a perfect communication channel between the measurement of the system and the input. However, in the networked environment, sampled signals are usually quantized before transmission.…”

Improved Criteria on Robust Analysis for Linear System Using Convex Combination and Geometric Sequence Methods

“…For obtaining a higher delay upper bound, various forms of Lyapunov-Krasovskii functional (LKF) are constructed, such as discretized LKF, augmented LKF and delay-partitioning LKF [6][7][8][9][10] . In fact, expected stability results will be achieved if well-developed inequalities are employed for estimating LKF derivative.…”