A discrete hierarchy of double bracket equations and a class of negative power series

DOI10.3934/MCRF.2017003zbMath1354.15012OpenAlexW2559816155MaRDI QIDQ728209

Nancy López Reyes, Luis E. Benítez Babilonia

Publication date: 19 December 2016

Published in: Mathematical Control and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mcrf.2017003

zbMATH Keywords

linear systeminfinite-dimensional systemrealization theorygroup factorizationdouble bracket equationsnegative power series

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Algebraic systems of matrices (15A30)

Related Items (1)

Matrix-valued Laurent polynomials, parametric linear systems and integrable systems

Cites Work

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• The discrete KP hierarchy and the negative power series on the complex plane
• Algebraic analysis of a discrete hierarchy of double bracket equations
• Representation and control of infinite dimensional systems
• The finite discrete KP hierarchy and the rational functions
• Gradient flows and double bracket equations.
• Algebraic aspects of Brockett type equations
• Transfer functions for infinite-dimensional systems
• Geometry of Rational Functions and Nonlinear Integrable Systems
• \(J\)-spectral factorization and equalizing vectors.
• Algebraic aspects of the discrete KP hierarchy

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