Balanced truncation model reduction for descriptor systems | Zendy

Stykel Tatjana | Zendy

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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.

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