Secure synchronization and identification for fractional complex networks with multiple weight couplings under DoS attacks

Distributed Adaptive Mittag–Leffler Formation Control for Second-Order Fractional Multi-Agent Systems via Event-Triggered Control Strategy

“…. According to Definition 6, it implies that FMASs (1) and ( 2) can achieve the Mittag-Leffler bounded formation under designed control protocol (16) with the ETCS (17). The proof is completed.…”

“…where ξij (t) = ξi (t) − ξj (t) . The triggering function in triggering mechanisms (17) is designed as…”

“…holds, then FMASs ( 1) and ( 2) can realize the global Mittag-Leffler bounded formation under designed adaptive protocol (16) with ETCS (17).…”

“…Γ( ) . In light of the the triggering function in triggering mechanisms (17), when t = t i k+1 , we have…”

“…It is worth noting that, in the above mentioned literature [10][11][12][13][14][15], the obtained results focus on the integer-order MASs. However, in practical applications, such as engineering, manufacturing, aerospace, and artificial intelligence, the fractional systems can give a more accurate description for various processes with the characterization of hereditary and memory properties [16], and many results have been derived [17][18][19][20][21][22]. Recently, some achievements have emerged in regard to the formation control of fractional-order MASs.…”