Pinning synchronization of complex delayed dynamical networks via generalized intermittent adaptive control strategy

Abstract

Summary In this paper, the problem of pinning synchronization for delayed complex directed networks via generalized intermittent adaptive control strategy is considered. First, a dynamical mode of delayed network is investigated. Second, a generalized intermittent adaptive control strategy which unified the traditional periodic intermittent control and the aperiodic case is introduced. Additionally, by constructing a piecewise Lyapunov auxiliary function and making use of piecewise analysis technique, some effective and novel criteria to ensure the global synchronization of delayed complex networks based on the designed control protocols are obtained. Finally, an example with numerical simulations is provided to demonstrate the validness of the theoretical results proposed scheme.

Decentralized event‐triggered synchronization control for complex networks with nonperiodic DoS attacks

“…and substitute Equation (10) into Equation ( 4), thereby the following event-based synchronization error model under nonperiodic asynchronous DoS attacks can be derived.…”

Fixed-Time Synchronization Control of Delayed Dynamical Complex Networks

“…1 (reference [ 15 ]) . For the vector-valued function , suppose the uniform semi-Lipschitz condition with respect to the time t holds, i.e., for any , there exist positive constants and such that …”

“…2 (reference [ 15 ]) . If and are real matrices with appropriate dimensions, then, there exists a positive constant such that …”

“…Through long-term observation and research, it is found that synchronization phenomena widely exist in human society and nature, such as the synchronization of cardiomyocytes and brain nerve cells [ 11 , 12 , 13 ], the asymptotic synchronization of audience applause frequency in the theater, the synchronous luminescence of fireflies, etc. At present, the synchronization behavior analysis of complex networks has become an important research hotspot [ 14 , 15 , 16 , 17 ].…”

Adaptive and Exponential Synchronization of Uncertain Fractional-Order T-S Fuzzy Complex Networks With Coupling Time-Varying Delays via Pinning Control Strategy

“…At present, pinning control has received significant attention in large-scale networks, which can effectively control the entire network by exerting certain control on some nodes. For instance, the pinning synchronization was discussed by the intermittent control strategy in [33]. In [34], the pinning and impulsive control strategies for Markovian jumping CNs were proposed to examine the synchronization of the jump transfer for the master-slave system between multiple modes.…”