کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
841163 908502 2011 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence and properties of solutions of a control system with hysteresis effect
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Existence and properties of solutions of a control system with hysteresis effect
چکیده انگلیسی

We consider a control system described by two ordinary nonlinear differential equations subject to a control constraint given by a multivalued mapping with closed nonconvex values, which depends on the phase variables. One of the equations contains the subdifferential of the indicator function of a closed convex set depending on the unknown phase variable. The equation containing the subdifferential describes an input–output relation of hysteresis type.Along with the original control constraint, we also consider the convexified control constraint and the constraint consisting of the extremal points of the convexified control constraint.We prove the existence of solutions of our control system with various control constraints and establish certain relationships between corresponding solution sets.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 74, Issue 13, September 2011, Pages 4433–4447
نویسندگان
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