A Bifurcation of Solutions of Nonlinear Fredholm Inclusions Involving C J-Multimaps with Applications to Feedback Control Systems

Nguyen Van Loi; Valeri Obukhovskii; Jen-Chih Yao

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A Bifurcation of Solutions of Nonlinear Fredholm Inclusions Involving C J-Multimaps with Applications to Feedback Control Systems

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摘要

In this paper, by applying the oriented coincidence index for a pair consisting of a nonlinear Fredholm operator and a C J-multimap, we prove a global bifurcation theorem for solutions of families of inclusions with such maps. The method of guiding functions is used to calculate the oriented coincidence index for a class of feedback control systems. This characteristic allows to obtain the existence result for periodic trajectories of such systems. From the other side, it opens the possibility to apply the abstract bifurcation result to the study of qualitative behavior of branches of periodic trajectories.

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《Artificial intelligence and law》 |2013年第2期|247-269|共23页
作者
Nguyen Van Loi; Valeri Obukhovskii; Jen-Chih Yao;
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作者单位

PetroVietNam University, Ba Ria - Vung Tau, Vietnam;

Faculty of Physics and Mathematics, Voronezh State Pedagogical University, 394043 Voronezh, Russia;

Center for Fundamental Science, Kaohsiung Medical University, Kaohsiung 807, Taiwan Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 804, Taiwan;

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正文语种英语
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Bifurcation; Nonlinear Fredholm operator; C J-multimap; Oriented coincidence index; Guiding function; Feedback control system; Differential inclusion; Periodic solution;

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A Bifurcation of Solutions of Nonlinear Fredholm Inclusions Involving C J-Multimaps with Applications to Feedback Control Systems

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