Semiglobal Finite-Time Synchronization of Complex Dynamical Networks via Periodically Intermittent Control

Abstract

This paper studies the finite-time synchronization problem for a class of complex dynamical networks by means of periodically intermittent control. Based on some analysis techniques and finite-time stability theory, some novel and effective finite-time synchronization criteria are given in terms of a set of linear matrix inequalities. Particularly, the previous synchronization problem by using periodically intermittent control has been extended in this paper. Finally, numerical simulations are presented to verify the theoretical results.

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

“…The types of periodically intermittent control scheme are proposed to drive the network achieving finite-time synchronization. Based on the finite-time stability theory and intermittent control techniques, fast synchronization criteria for such dynamical networks are derived by using differential inequalities (14) and (41). Compared with the previous works, our results can achieve fast synchronization with fast convergence time.…”

“…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].…”

“…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.…”

Finite‐time synchronisation of neural networks with discrete and distributed delays via periodically intermittent memory feedback control

“…However, to our best knowledge, most researches were mainly focused on asymptotical or exponential synchronization by using the intermittent control [15]- [23]. This means that the trajectories of drive system cannot track to the trajectories of response system within a finite time.…”