Sum of squares decomposition: theory and applications in control

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dc.contributor.authorAndrés Pantoja
dc.contributor.authorEduardo Mójica Nava
dc.contributor.authorNicanor Quijano
dc.coverage.spatialBolivia
dc.date.accessioned2026-03-22T17:57:22Z
dc.date.available2026-03-22T17:57:22Z
dc.date.issued2010
dc.description.abstractThe sum of squares (SOS) decomposition technique allows numerical methods such as semidefinite programming to be used for proving the positivity of multivariable polynomial functions. It is well known that it is not an easy task to find Lyapunov functions for stability analysis of nonlinear systems. An algorithmic tool is used in this work for solving this problem. This approach is presented as SOS programming and solutions were obtained with a Matlab toolbox. Simple examples of SOS concepts, stability analysis for nonlinear polynomial and rational systems with uncertainties in parameters are presented to show the use of this tool. Besides these approaches, an alternative stability analysis for switched systems using a polynomial approach is also presented.
dc.identifier.doi10.15446/ing.investig.v30n3.18178
dc.identifier.urihttps://doi.org/10.15446/ing.investig.v30n3.18178
dc.identifier.urihttps://andeanlibrary.org/handle/123456789/67249
dc.language.isoen
dc.publisherNational University of Colombia
dc.relation.ispartofIngeniería e Investigación
dc.sourceUniversidad de Los Andes
dc.subjectSemidefinite programming
dc.subjectExplained sum of squares
dc.subjectPolynomial
dc.subjectDecomposition
dc.subjectLyapunov function
dc.subjectMultivariable calculus
dc.subjectNonlinear system
dc.subjectStability (learning theory)
dc.subjectMATLAB
dc.subjectToolbox
dc.titleSum of squares decomposition: theory and applications in control
dc.typearticle

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