Global stabilization of periodic orbits using a proportional feedback control with pulses |
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| Authors: | Elena Braverman Eduardo Liz |
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| Institution: | 1.Department of Mathematics,University of Calgary,Calgary,Canada;2.Departamento de Matemática Aplicada II, E.T.S.E. Telecomunicación,Universidade de Vigo,Vigo,Spain |
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| 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. |
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