Naslov
Balancing three matrices in control theory

Autori
Bosner, Nela

Izvornik
Mathematical communications (1331-0623) 19 (2014), 3; 497-516

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
balancing three matrices ; diagonal transformations ; numerical stability ; fre- quency response matrix ; pole assignment problem ; controllable part of the system

Sažetak
Several problems from control theory are presented which are sensitive to badly scaled matrices. We were specially concerned with the algorithms involving three matrices, thus we extended the Ward’s balancing algorithm for two matrices. Numerical experiments confirmed that balancing three matrices can produce an accurate frequency response matrix for descriptor linear systems, it can also improve the solution of the pole assignment problem via state feedback and the determination of the controllable part of the system.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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