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Optimal feedback control of traveling wave in a piecewise linear FHN model

Keiji Konishi
Our previous study [Konishi, Takeuchi, Shimizu, Chaos 2011] proposed a simple systematic design procedure of a periodic impulsive force and a time-continuous feedback force to eliminate traveling waves in a piecewise linear FitzHugh--Nagumo (FHN) model. As our previous study used only the integral control method in classical control theory, it is not easy to specify its system performance. The present paper introduces an optimal control method in modern control theory, which can specify its system performance. Furthermore, we show that the designed force is valid not only for the piecewise linear function but also for a class of continuous nonlinear FHN models.
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