Title

Synchronization of Inferior Olive Neurons Via L1 Adaptive Feedback

Document Type

Article

Publication Date

10-2014

Publication Title

Nonlinear Dynamics

Volume

78

Issue

1

First page number:

467

Last page number:

483

Abstract

This paper considers the synchronization of inferior olive neurons based on the {\mathcal {L}}_1 L 1 adaptive control theory. The ION model treated here is the cascade connection of two nonlinear subsystems, termed ZW and UV subsystems. It is assumed that the structure of the nonlinear functions and certain parameters of the IONs are not known, and disturbance inputs are present in the system. First, an {\mathcal {L}}_1 L 1 adaptive control system is designed to achieve global synchrony of the ZW subsystems using a single control input. This controller can accomplish local synchrony of the UV subsystems if the linearized UV subsystem is exponentially stable. For global synchrony of the UV subsystems, an {\mathcal {L}}_1 L 1 adaptive control law is designed. Each of these controllers includes a state predictor, an update law, and a control law. In the closed-loop system, global synchrony of the complete models of the IONs (the interconnected ZW and UV subsystems) is accomplished using these two adaptive controllers. Simulations results show that in the closed-loop system, the IONs are synchronized, despite unmodeled nonlinearities, disturbance inputs, and parameter uncertainties in the system.

Keywords

Adaptive synchronization; L 1 Adaptive synchrony; Inferior olive neurons; Neuron synchronization; Synchronization of oscillators; Uncertain

Disciplines

Controls and Control Theory | Electrical and Computer Engineering | Electrical and Electronics | Engineering | Power and Energy | Signal Processing | Systems and Communications

Language

English

Permissions

Use Find in Your Library, contact the author, or interlibrary loan to garner a copy of the item. Publisher policy does not allow archiving the final published version. If a post-print (author's peer-reviewed manuscript) is allowed and available, or publisher policy changes, the item will be deposited.

Identifier

DOI: http://ezproxy.library.unlv.edu/login?url=http://dx.doi.org/10.1007/s11071-014-1454-6


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