Prajna, Stephen and Jadbabaie, Ali (2005) Methods for Safety Verification of Time-Delay Systems. In: 2005 44th IEEE Conference on Decision and Control & European Control Conference. IEEE Conference on Decision and Control & European Control Conference. IEEE , Piscataway, NJ, pp. 4348-4353. ISBN 0-7803-9567-0 http://resolver.caltech.edu/CaltechAUTHORS:20110829-081539175
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This paper addresses the safety verification of systems with time-delay. It extends the barrier certificate methodology previously proposed for safety verification of systems described by ordinary differential equations to the functional differential equations setting. For verifying the safety of a time-delay system, a functional of states is used as a barrier certificate. The forms of the functionals resemble the Lyapunov-Razumikhin functions or the Lyapunov-Krasovskii functionals used in stability analysis of time-delay systems. When the description of the system is given in terms of polynomials, such a barrier certificate can be searched using sum of squares programming.
|Item Type:||Book Section|
|Additional Information:||© 2005 IEEE. Issue Date: 12-15 Dec. 2005. Date of Current Version: 30 January 2006. The work of the first author was financially supported by the Army Institute for Collaborative Biotechnologies, the NSF Award CCF-0326635 “ITR COLLAB: Theory and Software Infrastructure for a Scalable Systems Biology,” and the AFOSR Award FA9550-05-1-0032 “Bio Inspired Networks.” The first author would also like to thank Antonis Papachristodoulou for the enlightening discussions on time delay systems.|
|Official Citation:||Prajna, S.; Jadbabaie, A.; , "Methods for Safety Verification of Time-Delay Systems," Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on , vol., no., pp. 4348- 4353, 12-15 Dec. 2005 doi: 10.1109/CDC.2005.1582846 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1582846&isnumber=33412|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Tony Diaz|
|Deposited On:||07 Sep 2011 14:42|
|Last Modified:||07 Sep 2011 14:42|
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