کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
840707 | 908490 | 2012 | 24 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Nonsmooth Lyapunov pairs for infinite-dimensional first-order differential inclusions
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Nonsmooth Lyapunov pairs for infinite-dimensional first-order differential inclusions Nonsmooth Lyapunov pairs for infinite-dimensional first-order differential inclusions](/preview/png/840707.png)
چکیده انگلیسی
The main objective of this paper is to provide new explicit criteria to characterize weak lower semicontinuous Lyapunov pairs or functions associated to first-order differential inclusions in Hilbert spaces. These inclusions are governed by a Lipschitzian perturbation of a maximally monotone operator. The dual criteria we give are expressed by means of the proximal and basic subdifferentials of the nominal functions while primal conditions are described in terms of the contingent directional derivative. We also propose a unifying review of many other criteria given in the literature. Our approach is based on advanced tools of variational analysis and generalized differentiation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 75, Issue 3, February 2012, Pages 985–1008
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 75, Issue 3, February 2012, Pages 985–1008
نویسندگان
S. Adly, A. Hantoute, M. Théra,