Global Asymptotical Bounded Synchronization for a Class of Coupled Complex Networks With Nonidentical Nodes

Abstract

This paper investigates the bounded synchronization problem for a class of coupled complex networks with nonidentical nodes. Based on the average value trajectory, a new definition of the bounded synchronization is established for the concerned networks, which can be proved to be equivalent to the conventional one. By use of the Lyapunov function method and the linear matrix inequality technique, several sufficient conditions are derived to guarantee the bounded synchronization. Moreover, the corresponding estimations of the bounded synchronization domain can also be obtained. An illustrative numerical example is included to show the effectiveness of the main theoretical results.

Synchronization of Switched Neural Networks with Time‐varying Delays via Sampled‐data Control

“…The existence of time delay may deteriorate the system performance or even instability. The stability of switched neural networks are investigated in . Under arbitrary switching, the common Lyapunov functional method is employed to establish some stability criteria of switched neural networks with delays in .…”

“…In general, to find a common Lyapunov functional is not an easy task for all subsystems of a switched neural network. Taking this issue into account, the authors in apply the average dwell‐time method which allows to individually construct a Lyapunov functional for each subsystem.…”

Consensus in nonlinear multi-agent systems with nonidentical nodes and sampled-data control

“…For example, people hope to replace large integrated circuit equipment with small devices by employing coordinated control. In general, coordinated control and analysis in networked systems include: synchronization [1][2][3][4][5], containment control [6,7], flocking [8,9] and consensus [10][11][12][13][14][15].…”

Pinning Control of the Coupled Distributed Parameter System with Time Delay

“…The dynamical analysis of coupled system has become a focal topic, particularly the synchronization phenomena. Some results on synchronization in various coupled lump parameter systems have been given in [26][27][28][29][30][31][32][33]. Although synchronization of the coupled LPS is studied popularly, synchronization of the coupled DPS is only investigated in [22] and [23].…”