• DocumentCode
    294419
  • Title

    Solving the right diophantine equation in a geometric way

  • Author

    Estrada, Moisés Bonilla

  • Author_Institution
    CINVESTAV-IPN, Mexico City, Mexico
  • Volume
    1
  • fYear
    1995
  • fDate
    13-15 Dec 1995
  • Firstpage
    309
  • Abstract
    We find an explicit solution of the right diophantine equation (RDE) in a geometric way in terms of canonical and natural projections, insertion maps, and isomorphisms. This geometric interpretation of the RDE could be a great help in finding easy numerical methods for computation and be useful for apply the linear robust control theory to nonlinear systems
  • Keywords
    computational geometry; feedback; nonlinear control systems; polynomial matrices; robust control; state-space methods; canonical projections; geometric interpretation; insertion maps; isomorphisms; linear robust control; natural projection; nonlinear systems; output feedback; polynomial matrix; right diophantine equation; state space; Nonlinear equations; Nonlinear systems; Output feedback; PD control; Poles and zeros; Polynomials; Proportional control; Robust control; State feedback; State-space methods;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
  • Conference_Location
    New Orleans, LA
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-2685-7
  • Type

    conf

  • DOI
    10.1109/CDC.1995.478748
  • Filename
    478748