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A Tutorial on Sum of Squares Techniques for Systems Analysis

Papachristodoulou, Antonis and Prajna, Stephen (2005) A Tutorial on Sum of Squares Techniques for Systems Analysis. In: Proceedings of the 2005 American Control Conference. IEEE , pp. 2686-2700. ISBN 0-7803-9098-9 http://resolver.caltech.edu/CaltechAUTHORS:20110811-103833858

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Abstract

This tutorial is about new system analysis techniques that were developed in the past few years based on the sum of squares decomposition. We will present stability and robust stability analysis tools for different classes of systems: systems described by nonlinear ordinary differential equations or differential algebraic equations, hybrid systems with nonlinear subsystems and/or nonlinear switching surfaces, and time-delay systems described by nonlinear functional differential equations. We will also discuss how different analysis questions such as model validation and safety verification can be answered for uncertain nonlinear and hybrid systems.


Item Type:Book Section
Related URLs:
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http://dx.doi.org/10.1109/ACC.2005.1470374DOIUNSPECIFIED
http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1470374PublisherUNSPECIFIED
Additional Information:© 2005 IEEE. Issue Date: 8-10 June 2005; Date of Current Version: 01 August 2005. Work financially supported by AFOSR MURI, NIH/NIGMS AfCS (Alliance for Cellular Signalling), DARPA, the Kitano ERATO Systems Biology Project, and URI “Protecting Infrastructures from Themselves”.
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Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR) Multidisciplinary University Research Initiative (MURI)UNSPECIFIED
NIH/NIGMS AfCS (Alliance for Cellular Signalling)UNSPECIFIED
Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
Kitano ERATO Systems Biology ProjectUNSPECIFIED
URIUNSPECIFIED
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INSPEC Accession Number8633799
Record Number:CaltechAUTHORS:20110811-103833858
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20110811-103833858
Official Citation:Papachristodoulou, A.; Prajna, S.; , "A tutorial on sum of squares techniques for systems analysis," American Control Conference, 2005. Proceedings of the 2005 , vol., no., pp. 2686- 2700 vol. 4, 8-10 June 2005 doi: 10.1109/ACC.2005.1470374
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:24803
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:11 Aug 2011 19:05
Last Modified:11 Aug 2011 19:05

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