Abstract
We present a detailed study of the boundaries separating different basins of attraction in a discrete-time, model-reference, adaptive control system. The closed-loop system is a noninvertible map of the plane. The noninvertible nature of the map plays an important role in the shape and interactions of these basins, making them distinctly different from those of continuous-time or discrete-time invertible dynamical systems.
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© 1992 Springer Science+Business Media New York
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Frouzakis, C.E., Adomaitis, R.A., Kevrekidis, I.G., Golden, M.P., Ydstie, B.E. (1992). The Structure of Basin Boundaries in a Simple Adaptive Control System. In: Bountis, T. (eds) Chaotic Dynamics. NATO ASI Series, vol 298. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3464-8_18
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DOI: https://doi.org/10.1007/978-1-4615-3464-8_18
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