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New results on robust stability for differential-difference systems with affine linear parametric uncertainty

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Listed:
  • Gerardo Romero
  • Iván Díaz
  • Irma Pérez
  • Alfredo Guerrero
  • David Lara
  • José Rivera

Abstract

This article presents sufficient conditions to verify the robust stability property of convex combinations for quasipolynomials that represent the characteristic equation of differential-difference dynamics systems. It considers affine linear parametric uncertainty structure in the coefficients of quasipolynomials and also, interval uncertainty in the time delay. First of all, a transformation of the delay's operator is performed in order to get a two variable polynomial; after this, to obtain the robust stability property, a result based on the Hurwitz matrix is applied.

Suggested Citation

  • Gerardo Romero & Iván Díaz & Irma Pérez & Alfredo Guerrero & David Lara & José Rivera, 2013. "New results on robust stability for differential-difference systems with affine linear parametric uncertainty," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(1), pages 14-22.
    • Handle: RePEc:taf:tsysxx:v:44:y:2013:i:1:p:14-22
    DOI: 10.1080/00207721.2011.577247
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    Cited by:

    1. Vasile Dragan, 2014. "Robust stabilisation of discrete-time time-varying linear systems with Markovian switching and nonlinear parametric uncertainties," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(7), pages 1508-1517, July.

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