Synchronization criteria for generalized reaction-diffusion neural networks via periodically intermittent control

Abstract

In this paper, the synchronization problem for a class of generalized neural networks with time-varying delays and reaction-diffusion terms is investigated concerning Neumann boundary conditions in terms of p-norm. The proposed generalized neural networks model includes reaction-diffusion local field neural networks and reaction-diffusion static neural networks as its special cases. By establishing a new inequality, some simple and useful conditions are obtained analytically to guarantee the global exponential synchronization of the addressed neural networks under the periodically intermittent control. According to the theoretical results, the influences of diffusion coefficients, diffusion space, and control rate on synchronization are analyzed. Finally, the feasibility and effectiveness of the proposed methods are shown by simulation examples, and by choosing different diffusion coefficients, diffusion spaces, and control rates, different controlled synchronization states can be obtained.

Synchronization of generalized reaction-diffusion neural networks with time-varying delays based on general integral inequalities and sampled-data control approach

“…Therefore, to manufacture high quality neural networks, it is must to consider the activations to vary in space as well as in time and in this case the model should be expressed by partial differential equations. In the existing literature there were only a very few works that investigate the synchronization of generalized reaction-diffusion neural networks with time-varying delays, namely Gan (2012) and Gan et al (2016). Different from the existing literature, the present paper focuses on the synchronization behavior of generalized reaction-diffusion neural networks with mixed time-varying delays.…”

Synchronisation of second‐order stochastic complex dynamical networks via intermittent pinning discrete observations control and their applications

“…Firstly proposed by Deissenberg [23], periodically intermittent control (PIC), which is activated during the control time and off during the rest time, can reduce the amount of transmitted information and lower the control cost. Thus, researchers have attached much importance to PIC and it has attracted increasing attention [24–26]. For instance, Xia and Cao [24] investigated the synchronisation problem for a class of complex delayed dynamical networks by periodically intermittent pinning control.…”

Exponential Synchronization of Dynamical Network with Distributed Delays Via Intermittent Control

“…Meanwhile, lots of network models have been introduced to describe the real world. In particular, synchronization is an interesting and important collective phenomena in networks and has been deeply investigated . The research on synchronization can be tracked to the most important work of Huygens about pendulum clocks in the 17th century.…”

“…For any given dynamical network, the key point for designing intermittent controllers is to derive the synchronization conditions with respect to the control rate, control gains and system parameters. Recently, many valuable results about intermittent control are obtained [17][18][19][20][21][22][23][24][25][26][27][28][29][30]. In Refs.…”

“…In Refs. [19][20][21][22], synchronization of dynamical networks without delay is investigated via intermittent control and some theoretical results are derived. Further, in Refs.…”