کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1137014 | 1489149 | 2012 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The interval Lyapunov matrix equation: Analytical results and an efficient numerical technique for outer estimation of the united solution set
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
This note tries to propose an efficient method for obtaining outer estimations for the so-called united solution set of the interval Lyapunov matrix equation AX+XAT=F, where A and F are known real interval matrices while XX is the unknown matrix; all of dimension n×nn×n. We first explore the equation in the more general setting of AE-solution sets, and show that only a small part of Shary’s results on the AE-solution sets of interval linear systems can be generalized to the interval Lyapunov matrix equation. Then, we propose our modification of Krawczyk operator which enables us to reduce the computational complexity of obtaining an outer estimation for the united solution set to cubic, provided that the midpoint of A is diagonalizable.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical and Computer Modelling - Volume 55, Issues 3–4, February 2012, Pages 622–633
Journal: Mathematical and Computer Modelling - Volume 55, Issues 3–4, February 2012, Pages 622–633
نویسندگان
Behnam Hashemi, Mehdi Dehghan,