A note on the determinant of a functional confluent Vandermonde matrix and controllability

DOI10.1016/0024-3795(80)90182-2zbMath0445.15009OpenAlexW2086313400MaRDI QIDQ1145193

S. H. Smith

Publication date: 1980

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(80)90182-2

zbMATH Keywords

controllabilityVandermonde matrix

Mathematics Subject Classification ID

Factorization of matrices (15A23) Determinants, permanents, traces, other special matrix functions (15A15) Controllability, observability, and system structure (93B99)

Related Items (12)

Preservation of stabilizability of a continuous time-invariant linear system after discretization ⋮ On the Refinement of the Method of Reducing a System of Linear Differential Equations to a Single Higher-order Equation, Which Makes it Possible to Find a General Solution to the Original ⋮ A Review on Multiple Purely Imaginary Spectral Values of Time-Delay Systems ⋮ Real spectral values coexistence and their effect on the stability of time-delay systems: Vandermonde matrices and exponential decay ⋮ The locus of the representation of logarithmic connections by Fuchsian equations ⋮ On the zeros of eigenpolynomials of Hermitian Toeplitz matrices ⋮ Characterizing the codimension of zero singularities for time-delay systems. A link with Vandermonde and Birkhoff incidence matrices ⋮ Dirichlet-Neumann bracketing for a class of banded Toeplitz matrices ⋮ Multiplicity-induced-dominancy for delay-differential equations of retarded type ⋮ Fast sampling from \(\beta \)-ensembles ⋮ Counting characteristic roots of linear delay differential equations. II: From argument principle to rightmost root assignment methods ⋮ An Explicit Formula for the Splitting of Multiple Eigenvalues for Nonlinear Eigenvalue Problems and Connections with the Linearization for the Delay Eigenvalue Problem

Cites Work

• Two Notes on Matrices
• Preservation of controllability under sampling
• On the estimating errors and the structures of identity observers and minimal order state observers
• A Generalization of Cauchy' s Double Alternant
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