Robust adaptive synchronization of uncoupled FitzHugh-Nagumo neurons under disturbances and uncertain external electric stimulation
作者： Keum-Shik Hong , Muhammad Rehan
DOI:
关键词:
摘要: This paper describes a nonlinear robust adaptive control for synchronization of uncoupled FitzHugh-Nagumo (FHN) neurons with uncertainty in the amplitude stimulation current and under disturbances. First, we propose an asymptotic uncertain current. Then, modify law to deal bounded Proposed ensures uniformly ultimately error The results proposed methodologies are verified through numerical simulations.
参考文章(15)
Muhammad Rehan, Abrar Ahmed, Naeem Iqbal, Static and low order anti-windup synthesis for cascade control systems with actuator saturation: An application to temperature-based process control Isa Transactions. ,vol. 49, pp. 293- 301 ,(2010) , 10.1016/J.ISATRA.2010.03.003
Barbara Jobst, Brain stimulation for surgical epilepsy. Epilepsy Research. ,vol. 89, pp. 154- 161 ,(2010) , 10.1016/J.EPLEPSYRES.2009.08.017
Muhammad Rehan, Abrar Ahmed, Naeem Iqbal, DESIGN & IMPLEMENTATION OF FULL ORDER ANTI-WINDUP WITH ACTUATOR AMPLITUDE-RATE LIMITER FOR AN AC MOTOR SPEED CONTROL SYSTEM Journal of The Chinese Institute of Engineers. ,vol. 33, pp. 397- 404 ,(2010) , 10.1080/02533839.2010.9671628
Yan-Qiu Che, Jiang Wang, Si-Si Zhou, Bin Deng, Robust synchronization control of coupled chaotic neurons under external electrical stimulation Chaos, Solitons & Fractals. ,vol. 40, pp. 1333- 1342 ,(2009) , 10.1016/J.CHAOS.2007.09.014
Jiang Wang, Zhen Zhang, Huiyan Li, Synchronization of FitzHugh-Nagumo systems in EES via H∞ variable universe adaptive fuzzy control Chaos Solitons & Fractals. ,vol. 36, pp. 1332- 1339 ,(2008) , 10.1016/J.CHAOS.2006.08.012
Jiang Wang, Ting Zhang, Bin Deng, Synchronization of FitzHugh-Nagumo neurons in external electrical stimulation via nonlinear control Chaos Solitons & Fractals. ,vol. 31, pp. 30- 38 ,(2007) , 10.1016/J.CHAOS.2005.09.006
Ting Zhang, Jiang Wang, Xiangyang Fei, Bin Deng, Synchronization of coupled FitzHugh–Nagumo systems via MIMO feedback linearization control Chaos, Solitons & Fractals. ,vol. 33, pp. 194- 202 ,(2007) , 10.1016/J.CHAOS.2006.01.037
Abrar Ahmed, Muhammad Rehan, Naeem Iqbal, Robust full order anti-windup compensator design for a class of cascade control systems using LMIs Electrical Engineering. ,vol. 92, pp. 129- 140 ,(2010) , 10.1007/S00202-010-0170-6
Deng Bin, Wang Jiang, Fei Xiangyang, Chaotic synchronization with gap junction of multi-neurons in external electrical stimulation Chaos, Solitons & Fractals. ,vol. 25, pp. 1185- 1192 ,(2005) , 10.1016/J.CHAOS.2004.11.063
Du Qu Wei, Xiao Shu Luo, Bo Zhang, Ying Hua Qin, Controlling chaos in space-clamped FitzHugh–Nagumo neuron by adaptive passive method Nonlinear Analysis-real World Applications. ,vol. 11, pp. 1752- 1759 ,(2010) , 10.1016/J.NONRWA.2009.03.029