Error bound for transfer function order reduction using freqeuncy weighted balanced truncation

All optimal Hankel-norm approximations of linear multivariable systems and their<i>L</i>,^∞-error bounds†

K. Glover · International Journal of Control · 1984 · 2.9K citations

Natural Sciences, Computer Science, Mathematics +14

Model reduction via balanced state space representations

Lars Pernebo, L. Silverman · IEEE Transactions on Automatic Control · 1982 · 896 citations

Engineering, Mathematics, Systems Engineering +15

Model reduction with balanced realizations: An error bound and a frequency weighted generalization

Dale Enns · 1984 · 718 citations

Engineering, Systems Engineering, Model-based Systems Engineering +13

Controller reduction: concepts and approaches

Brian D. O. Anderson, Yun Liu · IEEE Transactions on Automatic Control · 1989 · 473 citations

Natural Sciences, Mathematics, Dynamical Systems +10

Explicit solution and eigenvalue bounds in the Lyapunov matrix equation

Tomoya Mori, Norio Fukuma, M. Kuwahara · IEEE Transactions on Automatic Control · 1986 · 46 citations

Natural Sciences, Mathematics, Differential Equations +16