Generalized multi-synchronization: A leader-following consensus problem of multi-agent systems

Robust H∞ Consensus Control for Linear Discrete-Time Swarm Systems with Parameter Uncertainties and Time-Varying Delays

“…Subsequently, substituting (12) and (13) into (11) gives In fact, system (14) consists of N individual systems in (6). Denote by T ωz ∞ and T ω i z i ∞ the transfer function matrices of system (14) and (6), respectively.…”

“…As a hot topic of swarm systems, distributed cooperative control for swarm systems has gained an increasing attention from many communities because of its wide applications in various areas including rendezvous [1][2][3], filtering [4][5][6], formation control [7][8][9], synchronization of powerdriven machine [10][11][12], and other areas [13][14][15][16]. It should be also pointed out that some relevant novel nearest results in aerospace have been reported in [17][18][19].…”

Multisynchronization for Coupled Multistable Fractional-Order Neural Networks via Impulsive Control

“…Given that, we have proposed the linear matrix inequality based design method for multisynchronization Complexity 7 control problem. From the previous discussion, linear matrix inequalities (13) and (14) in Theorem 5 and linear matrix inequalities (32) and (33) in Theorem 6 can be effectively solved.…”

“…To choose constant 1 = 0.3, in addition, we select 2 = 0.9, = 0.1, and matrices R = diag(1, 1) and W = diag(0.5, 0.5), and then conditions (13) and (14) are satisfied. That is, Theorem 5 holds.…”

“…Synchronization phenomenon within complex networks is one of the most intriguing and valuable issues [13][14][15][16]. Recently, as a special case of an online learning situation, synchronization of neurodynamic systems have been found to be useful in characterizing and validating the consistency of cooperation [1,8,9,11,12].…”