Converging outer approximations to global attractors using semidefinite programming

This paper develops a method for obtaining guaranteed outer approximations for global attractors of continuous and discrete time nonlinear dynamical systems. The method is based on a hierarchy of semidefinite programming problems of increasing size with guaranteed convergence to the global attractor...

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Bibliographic Details
Published in:	Automatica (Oxford) Vol. 134; p. 109900
Main Authors:	Schlosser, Corbinian, Korda, Milan
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 01.12.2021 Elsevier
Subjects:	Dynamical Systems Global attractor Infinite-dimensional linear programming Mathematics Occupation measures Optimization and Control Outer approximations Semidefinite programming Sum-of-squares Occupation measures Semidefinite programming Sum-of-squares Infinite-dimensional linear programming Outer approximations Dynamical systems Global attractor
ISSN:	0005-1098, 1873-2836
Online Access:	Get full text
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