کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7151493 1462282 2018 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Semistability of complex balanced kinetic systems with arbitrary time delays
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Semistability of complex balanced kinetic systems with arbitrary time delays
چکیده انگلیسی
In this letter we introduce a class of delayed kinetic systems derived from mass action type reaction network models. We define the time delayed positive stoichiometric compatibility classes and the notion of complex balanced time delayed kinetic systems. We prove the uniqueness of equilibrium solutions within the time delayed positive stoichiometric compatibility classes for such models. In our main result we prove the semistability of the equilibrium solutions for complex balanced systems with arbitrary time delays using an appropriate Lyapunov-Krasovskii functional and LaSalle's invariance principle. As a consequence, we obtain that every positive complex balanced equilibrium solution is locally asymptotically stable relative to its positive stoichiometric compatibility class.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Systems & Control Letters - Volume 114, April 2018, Pages 38-43
نویسندگان
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