.png){kind=icon}
.png){kind=icon}
Return
Complete quadratic Lyapunov functionals for distributed delay systems
.png){kind=icon}
OA
AI
DOI：10.1016/j.automatica.2015.09.030.png)
.png){kind=icon}
.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
This paper is concerned with the stability analysis of distributed delay systems using complete-Lyapunov functionals. Numerous articles aim at approximating their parameters thanks to a discretization method or polynomial modeling. The interest of such approximations is the design of tractable sufficient stability conditions. In the present article, we provide an alternative method based on polynomial approximation which takes advantages of the Legendre polynomials and their properties. The resulting stability conditions are scalable with respect to the maximum degree of the polynomials and are expressed in terms of tractable linear matrix inequalities. Several examples of delayed systems are tested to show the effectiveness of the method. (C) 2015 Elsevier Ltd. All rights reserved.
Keywords:
Distributed delay systems
Lyapunov-Krasovskii functionals
Bessel-Legendre integral inequality
Linear matrix inequality
AI Summary
Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.
Journal
IF:
5.9
Papers:
1.2W
Citations:
5.2W