Applied Mathematics and Mechanics

, Volume 40, Issue 1, pp 13–24 | Cite as

Controlling a neuron by stimulating a coupled neuron

  • Song Liang
  • Zaihua WangEmail author
Open Access


Despite the intensive studies on neurons, the control mechanism in real interactions of neurons is still unclear. This paper presents an understanding of this kind of control mechanism, controlling a neuron by stimulating another coupled neuron, with the uncertainties taken into consideration for both neurons. Two observers and a differentiator, which comprise the first-order low-pass filters, are first designed for estimating the uncertainties. Then, with the estimated values combined, a robust nonlinear controller with a saturation function is presented to track the desired membrane potential. Finally, two typical bursters of neurons with the desired membrane potentials are proposed in the simulation, and the numerical results show that they are tracked very well by the proposed controller.

Key words

coupled neuron observer-based control spiking bursting robustness 

Chinese Library Classification

O29 O317+.2 

2010 Mathematics Subject Classification

34H05 93C10 


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Authors and Affiliations

  1. 1.State Key Laboratory of Mechanics and Control of Mechanical StructuresNanjing University of Aeronautics and AstronauticsNanjingChina
  2. 2.Department of Basic CoursesArmy Engineering UniversityNanjingChina

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