@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",

}