کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7151642 1462286 2017 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Tractable sufficient stability conditions for a system coupling linear transport and differential equations
ترجمه فارسی عنوان
شرایط ثبتی کافی قابل تحمل برای یک سیستم انتقال خطی و معادلات دیفرانسیل مختلف
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
چکیده انگلیسی
This paper deals with the stability analysis of a system of finite dimension coupled to a vectorial transport equation. We develop here a new method to study the stability of such a system, coupling ordinary and partial differential equations, using linear matrix inequalities led by the choice of an appropriate Lyapunov functional. To this end, we exploit Legendre polynomials and their properties, and use a Bessel inequality to measure the contribution of our approximation. The exponential stability of a wide class of delay systems is a direct consequence of this study, but above all, we are detailing here a new approach in the consideration of systems coupling infinite and finite dimensional dynamics. The coupling with a vectorial transport equation is a first step that already prove the interest of the method, bringing hierarchized conditions for stability. We will give exponential stability results and their proofs. Our approach will finally be tested on several academic examples.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Systems & Control Letters - Volume 110, December 2017, Pages 1-8
نویسندگان
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