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A multiparameter global bifurcation theorem with application to a feedback control system

Authors: 

Nguyen Van Loi, Valeri Obukhovskii, Jen-Chih Yao

Source title: 
Fixed Point Theory, 16(2): 353-370, 2015 (ISI)
Academic year of acceptance: 
2015-2016
Abstract: 

In this paper, applying the method of integral guiding functions, we consider a multiparameter global bifurcation problem for periodic solutions of first order operator-differential inclusions whose multivalued parts are not necessarily convex-valued. It is shown how the abstract result can be applied to study the global structure of periodic solutions of a feedback control system with a two-dimensional parameter.