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

Rafael Martínez-Guerra, Christopher D. Cruz-Ancona and Claudia A. Pérez-Pinacho

Applied Mathematics and Computation, 2016, vol. 282, issue C, 226-236

Abstract: 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.

Keywords: Generalized multi-synchronization; Leader-following consensus; Generalized Observability Canonical Form Multi-output; Differential primitive element; Dynamic consensus protocol (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:282:y:2016:i:c:p:226-236

DOI: 10.1016/j.amc.2016.02.017

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