Degree of Dieudonné determinant defines the order of nonlinear system

DOI10.1080/00207179.2017.1361042zbMath1414.93095OpenAlexW2740459277MaRDI QIDQ5742533

Juri Belikov, Alar Leibak, Miroslav Halás, Yu. R. Kotta

Publication date: 15 May 2019

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2017.1361042

zbMATH Keywords

nonlinear control systemdiscrete-time systemDieudonné determinant

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Multivariable systems, multidimensional control systems (93C35) Discrete-time control/observation systems (93C55) Minimal systems representations (93B20)

Related Items (2)

Unimodular Completions and Orthogonal Complements of Matrices over Univariate Ore Extensions ⋮ Computing the Degree of Determinants via Discrete Convex Optimization on Euclidean Buildings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Computing the Hermite form of a matrix of Ore polynomials
• Fast projection methods for minimal design problems in linear system theory
• Realization of discrete-time nonlinear input-output equations: polynomial approach
• On the transformation of a nonlinear discrete-time input–output system into the strong row-reduced form
• Submersive rational difference systems and their accessibility
• Adjoint Polynomial Formulas for Nonlinear State-Space Realization
• A new set of necessary and sufficient conditions for a system to be prime
• DIEUDONNÉ DETERMINANTS FOR SKEW POLYNOMIAL RINGS
• Improved polynomial matrix determinant computation
• The exact model-matching problem for linear time-varying systems: an algebraic approach
• Linear Input-Output Equivalence and Row Reducedness of Discrete-Time Nonlinear Systems

This page was built for publication: Degree of Dieudonné determinant defines the order of nonlinear system