A permuted factors approach for the linearization of polynomial matrices

Paradigms and puzzles in the theory of dynamical systems

Jan C. Willems · IEEE Transactions on Automatic Control · 1991 · 1.2K citations

Control Theory, Engineering, Complex Systems +16

From time series to linear system—Part I. Finite dimensional linear time invariant systems

Jan C. Willems · Automatica · 1986 · 561 citations

Linear System, Discrete Dynamical System, Linear Control Theory +1

Vector Spaces of Linearizations for Matrix Polynomials

D. Steven Mackey, Niloufer Mackey, Christian Mehl et al. · SIAM Journal on Matrix Analysis and Applications · 2006 · 309 citations

Spectral Theory, Structured Linearizations, Linear Operator +10

Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations

D. Steven Mackey, Niloufer Mackey, Christian Mehl et al. · SIAM Journal on Matrix Analysis and Applications · 2006 · 286 citations

Numerical Analysis, Spectral Theory, Polynomial Eigenvalue Problems +11

Symmetric Linearizations for Matrix Polynomials

Nicholas J. Higham, D. Steven Mackey, Niloufer Mackey et al. · SIAM Journal on Matrix Analysis and Applications · 2006 · 136 citations

Spectral Theory, Symmetric Function, Matrix Analysis +6