Empirical balanced truncation of nonlinear systems

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dc.creatorCondon, Marissa
dc.creatorIvanov, Rossen I.
dc.date2006-06-18
dc.date.accessioned2026-07-07T07:17:25Z
dc.date.available2026-07-07T07:17:25Z
dc.descriptionNovel constructions of empirical controllability and observability gramians for nonlinear systems for subsequent use in a balanced truncation style of model reduction are proposed. The new gramians are based on a generalisation of the fundamental solution for a Linear Time-Varying system. Relationships between the given gramians for nonlinear systems and the standard gramians for both Linear Time-Invariant and Linear Time-Varying systems are established as well as relationships to prior constructions proposed for empirical gramians. Application of the new gramians is illustrated through a sample test-system.
dc.descriptionLaTeX, 11 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0606430
dc.identifierhttp://arxiv.org/abs/math/0606430
dc.identifierJournal of Nonlinear Science, vol. 14 (2004) pp. 405-414
dc.identifierdoi:10.1007/s00332-004-0617-5
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113933
dc.subjectOptimization and Control
dc.subjectDynamical Systems
dc.subject93B05, 93B07, 93B15, 93B40
dc.titleEmpirical balanced truncation of nonlinear systems
dc.typetext

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