Stabilization of Delayed Chaotic Neural Networks by Periodically Intermittent Control

Abstract

This paper studies the exponential stabilization of delayed chaotic neural networks (DCNNs) using what is called periodically intermittent control. An exponential stability criterion for the controlled neural networks, together with its simplified version, is established by using the Lyapunov function and Halanay inequality. The feasible region of control parameters is estimated in a rigorous way. Theoretical results and numerical simulations show that the continuous-time DCNN can be stabilized by intermittent feedback control with nonzero duration.

Fast synchronization of complex dynamical networks with time-varying delay via periodically intermittent control

“…Synchronization plays a very important role in many contexts, such as synchronous communication, signal synchronization (for example, synchronization between video and audio signals), firefly bioluminescence synchronization, geostationary satellites, synchronous motors, database synchronization [1][2][3][4][5]. So far, many effective control approaches have been proposed to achieve synchronization, such as adaptive control [6][7], feedback control [8][9], pinning control [10][11], impulsive control [12][13] and intermittent control [14][15][16][17][18][19].…”

“…Intermittent control has a nonzero control width, while impulsive control is only activating at some isolated instants. On the other hand, as a special form of switching control, intermittent control can be divided into two classes [16]: state-dependent switching rule and time-dependent switching rule. The former implies that the control operation is activated only when the states enter to a certain region which is often pre-given, while the latter rule activates the control only in some finite time intervals, the system evolving freely outside these intervals.…”

“…Compared with continuous control methods, intermittent control is more efficient because the system output is measured intermittently rather than continuously [17]. In view of these merits, some dynamic systems with or without time delays were discussed by using the intermittent feedback control, and some promising results were achieved [14][15][16][17][18][19][20][21].…”

“…Nevertheless, to the best of our knowledge, most researches focus on the asymptotical or exponential synchronization of networks via intermittent control [14][15][16][17][18][19]. This means that the trajectories of the slave system can reach to the trajectories of the master system over the infinite horizon by using intermittent control method.…”

Hybrid Adaptive Pinning Control for Function Projective Synchronization of Delayed Neural Networks with Mixed Uncertain Couplings

“…Hu et al [22] suggested a pinning synchronization control scheme for a class of linearly coupled neural networks. Huang et al [23] investigated the stabilization of delayed chaotic neural networks by periodically intermittent control. Further, Cai et al [24] considered the outer synchronization between two hybrid-coupled delayed dynamical networks via aperiodically adaptive intermittent pinning control.…”