Robust stabilization control of bifurcations in Hodgkin-Huxley model with aid of unscented Kalman filter

Yanqiu Che, Bei Liu, Huiyan Li, Meili Lu, Jiang Wang, Xile Wei

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

A stabilization control method combined with the unscented Kalman filter (UKF) is proposed to control bifurcations in Hodgkin–Huxley neuronal system which are highly related to the occurrence of many dynamical diseases. In neuronal system, usually only the membrane potential can be measured with noise, thus the existing bifurcation controllers, which require exact information of all system states, are impractical. In our method, the system states used to construct the bifurcation controller are estimated by the UKF from partial noisy measurements. The stability of the controlled closed loop system is guaranteed by Lyapunov stability theory. Simulation results demonstrate the effectiveness of the proposed method. The designed controller may have potential applications in the therapy of dynamical diseases.

Original languageEnglish (US)
Pages (from-to)92-99
Number of pages8
JournalChaos, Solitons and Fractals
Volume101
DOIs
StatePublished - Aug 2017

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

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