The approximate determinantal assignment problem

DOI10.1016/j.laa.2014.07.008zbMath1298.93119OpenAlexW2012903925MaRDI QIDQ406481

George Petroulakis, John Leventides, Nicos Karcanias

Publication date: 8 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2014.07.008

zbMATH Keywords

approximationsexterior algebraalgebraic methodspole and zero placement problems

Mathematics Subject Classification ID

Pole and zero placement problems (93B55) Algebraic methods (93B25) Exterior algebra, Grassmann algebras (15A75) Approximations in PL-topology (57Q55)

Related Items (7)

Linear spectral sets and their extremal varieties ⋮ Distance optimization and the extremal variety of the Grassmann variety ⋮ Approximate decomposability in and the canonical decomposition of 3-vectors ⋮ Solution of the determinantal assignment problem using the Grassmann matrices ⋮ Grassmann inequalities and extremal varieties in \(\mathbb{P}\left(\bigwedge^p\mathbb{R}^n\right)\) ⋮ Unnamed Item ⋮ The feedback invariant measures of distance to uncontrollability and unobservability

Uses Software

• Macaulay2

Cites Work

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• Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear Systems
• Grassmann invariants, almost zeros and the determinantal zero, pole assignment problems of linear multivariable systems
• Decentralized determinantal assignment problem: fixed and almost fixed modes and zeros
• Multivariable Nyquist criteria, root loci, and pole placement: A geometric viewpoint
• Applications of Algebraic Geometry to Systems Theory: The M<scp>c</scp>Millan Degree and Kronecker Indices of Transfer Functions as Topological and Holomorphic System Invariants
• A Multilinear Singular Value Decomposition
• Quasi-Newton Methods on Grassmannians and Multilinear Approximations of Tensors

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