Analysis and Pinning Control for Output Synchronization and $\mathcal{H}_{\infty}$ Output Synchronization of Multiweighted Complex Networks

Abstract

The output synchronization and H∞ output synchronization problems for multiweighted complex network are discussed in this paper. First, we analyze the output synchronization of multiweighted complex network by exploiting Lyapunov functional and Barbalat's lemma. In addition, some nodes- and edges-based pinning control strategies are developed to ensure the output synchronization of multiweighted complex network. Similarly, the H∞ output synchronization problem of multiweighted complex network is also discussed. Finally, two numerical examples are presented to verify the correctness of the obtained results.

New results of exponential synchronization of complex network with time-varying delays

“…Remark 2 At present, there are many research results on the synchronous control of linearly coupled complex network models [31][32][33], but their research methods are different from ours.…”

“…Remark 1 In some studies on complex network synchronization problems, the effects of time delay were not considered. For example Jin-Liang Wang discussed the output synchronization and H ∞ output synchronization of multi-weighted complex network in [31] but did not consider the network model with time delay. Moreover, many studies on complex network often require derivable or bounded time delay [20][21][22][23][24][25][26][27].…”

Improved T‐S Fuzzy Control for Uncertain Time‐Delay Coronary Artery System

“…Since Pecora and Caroll proposed chaotic synchronization in 1990 [1], synchronization control of chaotic systems has developed rapidly and has become one of the most important topic during the past 30 years [2][3][4][5][6][7][8][9][10][11][12]. Two chaotic systems synchronization of the main idea is to design a suitable controller, to make the state of the slave system track the status of the master system.…”

Synchronization for fractional‐order multi‐linked complex network with two kinds of topological structure via periodically intermittent control

“…One of the major topics drawing considerable concerns is synchronization of CNs. Currently, many results on synchronization analysis of CNs have been achieved for the strong demands from diverse sorts of fields in parallel image processing, pattern recognition, and secure communication . Besides, fractional‐order calculus can be seen as a generalization of integer‐order differentiation and integration to arbitrary non‐integer order.…”

“…Currently, many results on synchronization analysis of CNs have been achieved for the strong demands from diverse sorts of fields in parallel image processing, pattern recognition, and secure communication. [7][8][9] Besides, fractional-order calculus can be seen as a generalization of integer-order differentiation and integration to arbitrary non-integer order. Actually, many processes with memory and hereditary properties generally or most likely are fractional-order CNs, rather than integer-order CNs.…”