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A Nonlinear Synchronization Scheme for Hindmarsh-Rose Models
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 Title & Authors
A Nonlinear Synchronization Scheme for Hindmarsh-Rose Models
Kim, Jung-Su; Allgower, Frank;
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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.
Synchronization;Polynomial systems;Nonlinear observer and control;
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