Title
No-chattering sliding mode control chaos in HindmarshRose neurons with uncertain parameters
Abstract
A HindmarshRose (HR) model was constructed from voltage clamp data to provide a simple description of the patterned activity seen in molluscan neurons. Its complex dynamics characters are presented, including the phase trajectory, the Lyapunov exponents and the Poincar map. Furthermore, a no-chattering sliding mode control method for the HindmarshRose (HR) model with uncertain parameters and bounded external disturbances is proposed, and it can control the system to any point and any periodic orbit. Both the theoretical analysis and the simulation results are presented to confirm the validity of the control method. © 2011 Elsevier Ltd. All rights reserved.
Year
DOI
Venue
2011
10.1016/j.camwa.2011.04.010
Computers and Mathematics with Applications
Keywords
Field
DocType
Chaos,HindmarshRose neuron,Sliding mode control,Uncertain parameter
Complex dynamics,Poincaré map,Mathematical analysis,Control theory,Periodic orbits,Lyapunov exponent,Trajectory,Mathematics,Bounded function,Sliding mode control
Journal
Volume
Issue
ISSN
61
10
null
Citations 
PageRank 
References 
14
0.99
3
Authors
4
Name
Order
Citations
PageRank
Diyi Chen16610.01
Wei-Li Zhao2140.99
Xiaoyi Ma320439.45
Run-Fan Zhang4392.52