Empirical balanced truncation of nonlinear systems

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Novel 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.
LaTeX, 11 pages, 2 figures

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Optimization and Control, Dynamical Systems, 93B05, 93B07, 93B15, 93B40

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http://salesiana.dossiersoluciones.com/handle/123456789/113933

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0606430
 http://arxiv.org/abs/math/0606430
 Journal of Nonlinear Science, vol. 14 (2004) pp. 405-414
 doi:10.1007/s00332-004-0617-5

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arXiv