A New Square-root Balancing-Free Stochastic Truncation Model Reduction Algorithm

Principal component analysis in linear systems: Controllability, observability, and model reduction

B. Moore · IEEE Transactions on Automatic Control · 1981 · 5.3K citations

Natural Sciences, Mathematics, Systems Engineering +12

A Schur method for solving algebraic Riccati equations

Alan J. Laub · IEEE Transactions on Automatic Control · 1979 · 1K citations · Full text

Natural Sciences, Mathematics, Computational Mechanics +16

A Schur method for balanced-truncation model reduction

Michael G. Safonov, Richard Chiang · IEEE Transactions on Automatic Control · 1989 · 599 citations

Computing, Computer Science, Algorithms +16

A System Theory Criterion for Positive Real Matrices

Brian D. O. Anderson · SIAM Journal on Control · 1967 · 458 citations

Engineering, Mathematics, Systems Engineering +13

Numerical Solution of the Stable, Non-negative Definite Lyapunov Equation Lyapunov Equation

Sven Hammarling · IMA Journal of Numerical Analysis · 1982 · 413 citations

Natural Sciences, Mathematics, Differential Equations +13