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Balanced truncation model reduction for descriptor systems
Author(s) -
Stykel Tatjana
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310302
Subject(s) - observability , controllability , generalization , truncation (statistics) , reduction (mathematics) , mathematics , lyapunov function , truncation error , lyapunov equation , control theory (sociology) , mathematical analysis , computer science , artificial intelligence , control (management) , statistics , physics , geometry , nonlinear system , quantum mechanics
We present a generalization of a balanced truncation model reduction method for descriptor systems. This method is closely related to the proper and improper controllability and observability Gramians and Hankel singular values that can be computed by solving projected generalized Lyapunov equations. We demonstrate the application of balanced truncation model reduction to the semidiscretized Stokes equation.