Balancing three matrices in control theory
Nela Bosner · Hrčak Portal of scientific journals of Croatia (University Computing Centre) · 2014
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.