Nonlinear-estimator-based robust synchronization of Hodgkin-Huxley neurons

Authors:
Lingling Tian;Donghai Li;Xianfang Sun
Affiliations:
School of Automation Science and Electrical Engineering, Beijing University of Aeronautics and Astronautics, 100083 Beijing, China;Department of Thermal Engineering, Tsinghua University, 100084 Beijing, China;School of Automation Science and Electrical Engineering, Beijing University of Aeronautics and Astronautics, 100083 Beijing, China
Venue:
Neurocomputing
Year:
2008

Citing 3
Cited 1

A decentralized controller for the robust stabilization of a class of MIMO linear systems

Systems & Control Letters
Adaptive synchronization of high-order chaotic systems: a feedback with low-order parametrization

Physica D
Parallel Event-Driven Neural Network Simulations Using the Hodgkin-Huxley Neuron Model

Proceedings of the 19th Workshop on Principles of Advanced and Distributed Simulation

Original articles: Synchronization of coupled chaotic FitzHugh-Nagumo neurons via Lyapunov functions

Mathematics and Computers in Simulation

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Abstract

A controller is designed to synchronize two modified Hodgkin-Huxley neuronal systems under the influence of externally injected current stimulus and extremely low frequency (ELF) external electrical field. By transforming the dynamics of the synchronization error into the canonical form, a robust adaptive stabilization technique with least prior knowledge is used to stabilize the discrepancy system at the origin. Without directly affecting the other three internal states, all of the four states can all be synchronized. The construction of the designed synchronization controller is easy to achieve and independent of the exact drift function of the system model. As a promising adaptive synchronization controller, it is expected to be applied to solve other synchronization problems effectively.