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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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|
|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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|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.|
|Deposited By:||Jason Perez|
|Deposited On:||11 Aug 2011 19:05|
|Last Modified:||11 Aug 2011 19:05|
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