Generalized multi-synchronization viewed as a multi-agent leader-following consensus problem

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• 作者：Rafael Martí ; nez-Guerra ; ^{rguerra@ctrl.cinvestav.mx" class="auth_mail" title="E-mail the corresponding author} ; Christopher D. Cruz-Ancona ^{ccruz@ctrl.cinvestav.mx" class="auth_mail" title="E-mail the corresponding author} ; Claudia A. Pé ; rez-Pinacho ^{caperez@ctrl.cinvestav.mx" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Generalized multi-synchronization ; Leader-following consensus ; Generalized Observability Canonical Form Multi-output ; Differential primitive element ; Dynamic consensus protocol
• 刊名：Applied Mathematics and Computation
• 出版年：2016
• 出版时间：5 May 2016
• 年：2016
• 卷：282
• 期：Complete
• 页码：226-236
• 全文大小：1647 K

文摘

The work presents the generalized multi-synchronization of strictly different chaotic systems problem as a multi-agent leader-following consensus problem with fixed and not strongly connected topology from a differential algebra point of view. This problem is solved by using the differential primitive element as a linear combination of state measurements and control inputs from which it is possible to construct a family of transformations to carry out the multi-agent systems to a Generalized Observability Canonical Form Multi-output (GOCFM). Moreover, a dynamic consensus protocol is designed such that the states of the followers asymptotically converge to the state of the leader.