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Geometry of deadbeat synchronization

2012/07/12 by S. Emre Tuna, Tuna, S. Emre
Computer Science · Physics and Astronomy · #Chaos control and synchronization #Dynamical Systems (math.DS) #FOS: Mathematics #Neural Networks Stability and Synchronization #Nonlinear Dynamics and Pattern Formation

paper · pdf · doi:10.48550/arxiv.1207.2981

openalex publication_date 2012/07/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The deadbeat synchronization of identical discrete-time nonlinear systems is studied from a geometric point of view. An array of deadbeat observers coupled via a deadbeat interconnection is shown to achieve synchronization in finite number of steps provided that a compatibility condition is satisfied between the observer and the interconnection. As an illustration to the theory, an example is provided where an array of third order observers achieves deadbeat synchronization.

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