@inproceedings{c650c8cd77e54d7a9c68ad86fb576b16,
title = "Accelerating convergence of sum-of-square stability analysis of coupled differential-difference equations",
abstract = "This article aims at accelerating the convergence of Lyapunov-Krasovskii stability analysis of coupled differential-difference equations using sum-of-square formulation. Under the assumption that the single integral and double integral terms are both positive definite, a necessary and sufficient condition for the quadratic integral expression is obtained. This result is applied to the Lyapunov-Krasovskii functional and derivative conditions. The method is less conservative than the previous method with identical order of polynomials. The effectiveness of this method is illustrated by numerical examples.",
keywords = "Delay, Lyapunov-krasovskii functional, Sum-of-square",
author = "Keqin Gu and Yashun Zhang and Matthew Peet",
year = "2010",
doi = "10.3182/20100607-3-cz-4010.00026",
language = "English (US)",
isbn = "9783902661715",
series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",
publisher = "IFAC Secretariat",
number = "PART 1",
pages = "138--143",
booktitle = "9th IFAC Workshop on Time Delay Systems, TDS 2010 - Proceedings",
edition = "PART 1",
note = "9th IFAC Workshop on Time Delay Systems, TDS 2010 ; Conference date: 07-06-2010 Through 09-06-2010",
}