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Design of external forces for eliminating traveling wave in a piecewise linear FitzHugh-Nagumo model
Keiji Konishi1, Masashi Takeuchi, Tsuyoshi Shimizu
1Department of Electrical and Information Systems, Osaka Prefecture University, 1-1 Gakuen-cho, Naka-ku, Sakai, Osaka 599-8531, Japan. konishi@eis.osakafu-u.ac.jp
Abstract:
Elimination and control of nonlinear phenomena in excitable media are important for academic interests and practical applications. This paper provides a systematic procedure to design external forces for eliminating a traveling wave in a one-dimensional piecewise linear FitzHugh-Nagumo model. This procedure allows us to design nonfeedback and feedback control systems. The feedback control systems are designed using classical control theory. Furthermore, this procedure is extended to a two-dimensional model and verified using numerical simulation.
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