کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840960 908497 2011 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Analysis of nonlinear fractional control systems in Banach spaces
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Analysis of nonlinear fractional control systems in Banach spaces
چکیده انگلیسی

In this paper, we consider the nonlinear control systems of fractional order and its optimal controls in Banach spaces. Using the fractional calculus, Hölder’s inequality, pp-mean continuity, weakly singular inequality and Leray–Schauder’s fixed point theorem with compact mapping, the sufficient condition is given for the existence and uniqueness of mild solutions for a broad class of fractional nonlinear infinite dimensional control systems. Utilizing the approximately lower semicontinuity of integral functionals and weakly compactness, we extend the existence result of optimal controls for nonlinear control systems to nonlinear fractional control systems under generally mild conditions. An example is given to illustrate the effectiveness of the results obtained.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 74, Issue 17, December 2011, Pages 5929–5942
نویسندگان
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