PMID: 11308927Apr 20, 2001Paper

Restricted feedback control of one-dimensional maps

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
K Hall, D J Christini

Abstract

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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Citations

Jul 14, 2010·Journal of Theoretical Biology·Stephen A GaetaDavid J Christini
Nov 3, 2010·IEEE Transactions on Bio-medical Engineering·Uche B KanuDavid J Christini
May 24, 2014·Biophysical Journal·Willemijn GroenendaalDavid J Christini
Mar 23, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Nita Parekh, Somdatta Sinha
Jul 25, 2009·Circulation Research·Stephen A GaetaDavid J Christini
Oct 16, 2004·Journal of Cardiovascular Electrophysiology·Peter N Jordan, David J Christini
Apr 12, 2006·Physical Review Letters·David J ChristiniRobert F Gilmour
Nov 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Carolyn M BergerDaniel J Gauthier
May 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Kathryn G WorkmanJohn W Cain

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