کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6420173 1631785 2015 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On backwards and forwards reachable sets bounding for perturbed time-delay systems
ترجمه فارسی عنوان
مجموعه های قابل دستیابی به عقب و جلو، محدود کردن سیستم های تأخیر زمان مبهم است
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

Linear systems with interval time-varying delay and unknown-but-bounded disturbances are considered in this paper. We study the problem of finding outer bound of forwards reachable sets and inter bound of backwards reachable sets of the system. Firstly, two definitions on forwards and backwards reachable sets, where initial state vectors are not necessary to be equal to zero, are introduced. Then, by using the Lyapunov-Krasovskii method, two sufficient conditions for the existence of: (i) the smallest possible outer bound of forwards reachable sets; and (ii) the largest possible inter bound of backwards reachable sets, are derived. These conditions are presented in terms of linear matrix inequalities with two parameters need to tuned, which therefore can be efficiently solved by combining existing convex optimization algorithms with a two-dimensional search method to obtain optimal bounds. Lastly, the obtained results are illustrated by four numerical examples.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 269, 15 October 2015, Pages 664-673
نویسندگان
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