کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
409301 679067 2013 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
M-matrix-based delay-range-dependent global asymptotical stability criterion for genetic regulatory networks with time-varying delays
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
M-matrix-based delay-range-dependent global asymptotical stability criterion for genetic regulatory networks with time-varying delays
چکیده انگلیسی

This paper is concerned with the problem of global asymptotical stability for a class of delayed genetic regularity networks (GRNs), where the time delays belong to given intervals and assumed to be time-varying. By choosing an appropriate and novel Lyapunov functional and utilizing M-matrix theory, we derive an M-matrix-based delay-range-dependent sufficient condition under which the class of considered GRNs has unique nonnegative equilibrium point which is globally asymptotically stable. The sufficient condition given here is to check whether a constructed constant matrix is a nonsingular M-matrix. This can be easily done, since there are more than 50 equivalent conditions of nonsingular M-matrix, and hence the stability criterion obtained in this paper is different from existing ones in the form of linear matrix inequality (LMI). Finally, several examples and their simulations are presented to show the effectiveness of the proposed approach.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Neurocomputing - Volume 113, 3 August 2013, Pages 8–15
نویسندگان
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