A study on ⟨(Q,S,R)-γ⟩-dissipative synchronisation of coupled reaction–diffusion neural networks with time-varying delays

Finite‐Time Synchronization and Synchronization Dynamics Analysis for Two Classes of Markovian Switching Multiweighted Complex Networks from Synchronization Control Rule Viewpoint

“…Remark 23. Compared with the recent results of synchronization problems for complex networks such as [8,10,16], the effectiveness of this paper can be reflected by synchronization dynamics analysis ideas of the addressed complex networks. From the analysis of Remarks 15-19, it is seen that the effect of nonlinear coupling function for synchronization dynamics is not only related to nonlinearity of nonlinear coupling function, but also connected with coupled matrix, synchronization state, and the initial state of the considered system.…”

“…From the analysis of Remarks 15-19, it is seen that the effect of nonlinear coupling function for synchronization dynamics is not only related to nonlinearity of nonlinear coupling function, but also connected with coupled matrix, synchronization state, and the initial state of the considered system. Although some feasible synchronization results of complex networks were derived in [8,10,16], these papers mainly focused on how to obtain sufficient conditions of synchronization problems. Besides this, according to introduction of this paper, it is observed that the literature [4] only used simulation method to analyze how nonlinear coupling function impacts synchronization dynamics of the proposed complex networks.…”

“…(4) Compared with the existing results about synchronization problems of nonlinear coupled or linear coupled complex networks such as [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16], the work in this paper can further extend the analysis ideas of synchronization problems.…”

“…In addition, linear coupled one can also affect synchronization dynamics of linear coupled complex networks [7]. Notice that although a lot of results for synchronization problems of linear coupled complex networks have been obtained [8][9][10], how linear coupled one impacts synchronization dynamics of linear coupled complex networks still needs to be further researched. For instance, 2 Complexity in [8], Ali et al studied extended dissipative synchronization for a class of linear coupled complex networks with additive time-varying delay and discrete-time information.…”

“…The literature [9] was concerned with asymptotical synchronization of a class of linear coupled complex networks with actuator faults and unknown coupling weights via adaptive control schemes. From [8][9][10], it is seen that although some feasible synchronization theories were derived, the relationship of linear coupled one and synchronization dynamics was still not noticed.…”