Abstract
This paper investigates the synchronization problem for FitzHugh-Nagumo (FHN) neurons in external electrical stimulations. Using the sliding mode control technique, an adaptive control law is established that guarantees synchronization even when the parameters of the master and slave FHN neurons are fully unknown. A proportional-integral switching surface is introduced to simplify the task of assigning the stability of the closed-loop error system in the sliding mode. Furthermore, the proposed synchronization scheme is then applied to a secure communication system. Computer simulations are provided to verify the effectiveness of the proposed adaptive synchronization scheme.
| Original language | English |
|---|---|
| Pages (from-to) | 833-844 |
| Number of pages | 12 |
| Journal | International Journal of Adaptive Control and Signal Processing |
| Volume | 22 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - 2008 Nov 1 |
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All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Electrical and Electronic Engineering
- Signal Processing
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Adaptive synchronization for nonlinear FitzHugh-Nagumo neurons in external electrical stimulation. / Lai, Chung Wen; Chen, Chang Kuo; Liao, Teh-Lu; Yan, Jun Juh.
In: International Journal of Adaptive Control and Signal Processing, Vol. 22, No. 9, 01.11.2008, p. 833-844.Research output: Contribution to journal › Article
TY - JOUR
T1 - Adaptive synchronization for nonlinear FitzHugh-Nagumo neurons in external electrical stimulation
AU - Lai, Chung Wen
AU - Chen, Chang Kuo
AU - Liao, Teh-Lu
AU - Yan, Jun Juh
PY - 2008/11/1
Y1 - 2008/11/1
N2 - This paper investigates the synchronization problem for FitzHugh-Nagumo (FHN) neurons in external electrical stimulations. Using the sliding mode control technique, an adaptive control law is established that guarantees synchronization even when the parameters of the master and slave FHN neurons are fully unknown. A proportional-integral switching surface is introduced to simplify the task of assigning the stability of the closed-loop error system in the sliding mode. Furthermore, the proposed synchronization scheme is then applied to a secure communication system. Computer simulations are provided to verify the effectiveness of the proposed adaptive synchronization scheme.
AB - This paper investigates the synchronization problem for FitzHugh-Nagumo (FHN) neurons in external electrical stimulations. Using the sliding mode control technique, an adaptive control law is established that guarantees synchronization even when the parameters of the master and slave FHN neurons are fully unknown. A proportional-integral switching surface is introduced to simplify the task of assigning the stability of the closed-loop error system in the sliding mode. Furthermore, the proposed synchronization scheme is then applied to a secure communication system. Computer simulations are provided to verify the effectiveness of the proposed adaptive synchronization scheme.
UR - http://www.scopus.com/inward/record.url?scp=55349123963&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=55349123963&partnerID=8YFLogxK
U2 - 10.1002/acs.1022
DO - 10.1002/acs.1022
M3 - Article
VL - 22
SP - 833
EP - 844
JO - International Journal of Adaptive Control and Signal Processing
JF - International Journal of Adaptive Control and Signal Processing
SN - 0890-6327
IS - 9
ER -