کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7108738 | 1460622 | 2018 | 5 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Affine Bessel-Legendre inequality: Application to stability analysis for systems with time-varying delays
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Affine Bessel-Legendre inequality: Application to stability analysis for systems with time-varying delays Affine Bessel-Legendre inequality: Application to stability analysis for systems with time-varying delays](/preview/png/7108738.png)
چکیده انگلیسی
Recently, some novel inequalities have been proposed such as the auxiliary function-based integral inequality and the Bessel-Legendre inequality which can be obtained from the former by choosing Legendre polynomials as auxiliary functions. These inequalities have been successfully applied to systems with constant delays but there have been some difficulties in application to systems with time-varying delays since the resulting bounds contain the reciprocal convexity which may not be tractable as it is. This paper proposes an equivalent form of the Bessel-Legendre inequality, which has the advantage of being easily applied to systems with time-varying delays without the reciprocal convexity.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Automatica - Volume 93, July 2018, Pages 535-539
Journal: Automatica - Volume 93, July 2018, Pages 535-539
نویسندگان
Won Il Lee, Seok Young Lee, PooGyeon Park,