کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8904547 1633708 2017 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Partial stability analysis of some classes of nonlinear systems
ترجمه فارسی عنوان
تجزیه و تحلیل ثبات جزئی برخی از کلاس های سیستم های غیر خطی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
چکیده انگلیسی
A nonlinear differential equation system with nonlinearities of a sector type is studied. Using the Lyapunov direct method and the comparison method, conditions are derived under which the zero solution of the system is stable with respect to all variables and asymptotically stable with respect to a part of variables. Moreover, the impact of nonstationary perturbations with zero mean values on the stability of the zero solution is investigated. In addition, the corresponding time-delay system is considered for which delay-independent partial asymptotic stability conditions are found. Three examples are presented to demonstrate effectiveness of the obtained results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Acta Mathematica Scientia - Volume 37, Issue 2, March 2017, Pages 329-341
نویسندگان
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