Observer-based robust synchronization of dynamical systems

A.Y. Pogromsky; H. Nijmeijer

doi:10.1142/S0218127498001832

Observer-based robust synchronization of dynamical systems

A.Y. Pogromsky, H. Nijmeijer

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

The paper deals with the problem of robust synchronization of dynamical systems. The design procedure is based on the concept of observers with absolutely stable error dynamics. In the general case of nonlinear time-varying error dynamics the procedure requires exact knowledge of a Lyapunov function while in case of the linearizable error dynamics frequency domain conditions which ensure existence of such a function can be employed. Two examples are considered: synchronization of two Lorenz systems and Rössler systems.

Original language	English
Pages (from-to)	2243-2254
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	8
Issue number	11
DOIs	https://doi.org/10.1142/S0218127498001832
Publication status	Published - 1998

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title = "Observer-based robust synchronization of dynamical systems",

abstract = "The paper deals with the problem of robust synchronization of dynamical systems. The design procedure is based on the concept of observers with absolutely stable error dynamics. In the general case of nonlinear time-varying error dynamics the procedure requires exact knowledge of a Lyapunov function while in case of the linearizable error dynamics frequency domain conditions which ensure existence of such a function can be employed. Two examples are considered: synchronization of two Lorenz systems and R{\"o}ssler systems.",

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AB - The paper deals with the problem of robust synchronization of dynamical systems. The design procedure is based on the concept of observers with absolutely stable error dynamics. In the general case of nonlinear time-varying error dynamics the procedure requires exact knowledge of a Lyapunov function while in case of the linearizable error dynamics frequency domain conditions which ensure existence of such a function can be employed. Two examples are considered: synchronization of two Lorenz systems and Rössler systems.

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JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

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