A Nonlinear Synchronization Scheme for Hindmarsh-Rose Models

- Journal title : Journal of Electrical Engineering and Technology
- Volume 5, Issue 1, 2010, pp.163-170
- Publisher : The Korean Institute of Electrical Engineers
- DOI : 10.5370/JEET.2010.5.1.163

Title & Authors

A Nonlinear Synchronization Scheme for Hindmarsh-Rose Models

Kim, Jung-Su; Allgower, Frank;

Kim, Jung-Su; Allgower, Frank;

Abstract

Multiple subsystems are required to behave synchronously or cooperatively in many areas. For example, synchronous behaviors are common in networks of (electro-) mechanical systems, cell biology, coupled neurons, and cooperating robots. This paper presents a feedback scheme for synchronization between Hindmarsh-Rose models which have polynomial vector fields. We show that the problem is equivalent to finding an asymptotically stabilizing control for error dynamics which is also a polynomial system. Then, an extension to a nonlinear observer-based scheme is presented, which reduces the amount of information exchange between models.

Keywords

Synchronization;Polynomial systems;Nonlinear observer and control;

Language

English

Cited by

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