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Continuousandsampled-time RicardoL´opezLenaEstradaAgeometricapproachtononlineardissipativebalancedreduction: Modelreductionfornonlinearcontrolsystemsisaproblemofcurrentresearchwithpracticalrelevance.Thisworkdealswithatheoreticalframeworkforstructure-prese

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A geometric approach to nonlinear dissipative balanced reduction:

Continuous and sampled-time

Model reduction for nonlinear control systems is a problem of current research with practical relevance.

This work deals with a theoretical framework for structure-preserving model reduction for nonlinear dissipative control systems using a differential-geometric approach.

In this work is asserted that the nonlinear balanced re-duction problem for dissipative systems is isomorphic to the problem of an isometric transformation between two Hilbert manifolds, where the Gramians are components of two Riemannian metrics and duality suffices for a balan-ced realization. Furthermore, the descomposition of iso-metric operators provided here is a nonlinear generaliza-tion to Principal Component Analysis (NL-PCA).

Ricardo L ´opez Lena Estr ada A geometr ic approach to nonlinear dissipativ e balanced reduction

Ricardo L ´opez Lena Estrada

A geometric approach to

nonlinear dissipative balanced reduction:

Cytaty

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