Restricted feedback control of one-dimensional maps

Details Restricted feedback control of one-dimensional maps Restricted feedback control of one-dimensional maps

2000-08-10

arxiv.org/abs/nlin/0008015v1

Nonlinear Sciences

Chaotic Dynamics

29 pages, 9 embedded figures

Scientific paper

10.1103/PhysRevE.63.046204

Dynamical control of biological systems is often restricted by the practical constraint of unidirectional parameter perturbations. We show that such a restriction introduces surprising complexity to the stability of one-dimensional map systems and can actually improve controllability. We present experimental cardiac control results that support these analyses. Finally, we develop new control algorithms that exploit the structure of the restricted-control stability zones to automatically adapt the control feedback parameter and thereby achieve improved robustness to noise and drifting system parameters.

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