Local stability analysis using simulations and sum-of-squares programming
type: Item
instance of: scholarly article
title: Local stability analysis using simulations and sum-of-squares programming
zbMATH Open document ID: 1155.93417
author: Ufuk Topcu
author: Peter Seiler
author: Andrew K. Packard
published in: Automatica
publication date: 2009-03-02T00:00:00Z
Mathematics Subject Classification ID: 93D30
Mathematics Subject Classification ID: 90C22
zbMATH DE Number: 5522146
zbMATH Keywords: local stability
zbMATH Keywords: region-of-attraction
zbMATH Keywords: nonlinear dynamics
zbMATH Keywords: sum-of-squares programming
zbMATH Keywords: simulations
describes a project that uses: SeDuMi
describes a project that uses: PENBMI
MaRDI profile type: Publication
full work available at URL: j.automatica.2008.03.010
OpenAlex ID: W2116586985
cites work: Q4821526
cites work: LMI-based computation of optimal quadratic Lyapunov functions for odd polynomial systems
cites work: Stability regions of nonlinear dynamical systems: a constructive methodology
cites work: A computational method for determining quadratic Lyapunov functions for non-linear systems
cites work: On the estimation of asymptotic stability regions: State of the art and new proposals
cites work: Semidefinite programming relaxations for semialgebraic problems
cites work: Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
cites work: Randomized algorithms for analysis and control of uncertain systems. With a foreword by M. Vidyasagar
cites work: Maximal Lyapunov functions and domains of attraction for autonomous nonlinear systems
cites work: Q3141919
DOI: 10.1016/J.AUTOMATICA.2008.03.010
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description: scientific article; zbMATH DE number 5522146