Global stabilization of periodic orbits using a proportional feedback control with pulses View Full Text


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Article Info

DATE

2012-03

AUTHORS

Elena Braverman, Eduardo Liz

ABSTRACT

We investigate the stabilization of periodic orbits of one-dimensional discrete maps by using a proportional feedback method applied in the form of pulses. We determine a range of the parameter μ values representing the strength of the feedback for which all positive solutions of the controlled equation converge to a periodic orbit. An important feature of our approach is that the required assumptions for which our results hold are met by a general class of maps, improving in this way some previous results. We discuss the applicability of our scheme to some models of population dynamics, and give numerical simulations to illustrate our analytical results. More... »

PAGES

2467-2475

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11071-011-0160-x

DOI

http://dx.doi.org/10.1007/s11071-011-0160-x

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1028271216


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