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- Title
Control of Cardiac Arrhythmia by Nonlinear Spatiotemporal Delayed Feedback.
- Authors
Boroujeni, Forough Rezaei; Vasegh, Nastaran; Sedigh, Ali Khaki
- Abstract
The dynamic feedback control of the cardiac pacing interval has been widely used to suppress alternans. In this paper, temporally and spatially suppressing the alternans for cardiac tissue consisting of a one-dimensional chain of cardiac units is investigated. The model employed is a nonlinear partial difference equation. The model's fixed points and their stability conditions are determined, and bifurcations and chaos phenomenon have been studied by numerical simulations. The main objective of this paper is to stabilize the unstable fixed point of the model. The proposed approach is nonlinear spatiotemporal delayed feedback, and the appropriate interval for controller feedback gain is calculated using the linear stability analysis. It is proven that the proposed approach is robust with respect to all bifurcation parameter variations. Also, set point tracking is achieved by employing delayed feedback with an integrator. Finally, simulation results are provided to show the effectiveness of the proposed methodology.
- Subjects
ARRHYTHMIA; NONLINEAR theories; SPATIOTEMPORAL processes; FEEDBACK control systems; CARDIAC pacing; PARTIAL differential equations; BIFURCATION theory
- Publication
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2014, Vol 24, Issue 11, p-1
- ISSN
0218-1274
- Publication type
Article
- DOI
10.1142/S0218127414501405