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

5 Citations (Scopus)

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 1 2017

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Robust Stabilization
Kalman Filter
Bifurcation
Controller
Bifurcation Control
Membrane Potential
Lyapunov Stability Theory
Combined Method
Model
Closed-loop System
Therapy
Stabilization
Partial
Demonstrate
Simulation

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Che, Yanqiu ; Liu, Bei ; Li, Huiyan ; Lu, Meili ; Wang, Jiang ; Wei, Xile. / Robust stabilization control of bifurcations in Hodgkin-Huxley model with aid of unscented Kalman filter. In: Chaos, Solitons and Fractals. 2017 ; Vol. 101. pp. 92-99.
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Robust stabilization control of bifurcations in Hodgkin-Huxley model with aid of unscented Kalman filter. / Che, Yanqiu; Liu, Bei; Li, Huiyan; Lu, Meili; Wang, Jiang; Wei, Xile.

In: Chaos, Solitons and Fractals, Vol. 101, 01.08.2017, p. 92-99.

Research output: Contribution to journalArticle

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