Stabilization of fractional exponential systems including delays

  title={Stabilization of fractional exponential systems including delays},
  author={Catherine Bonnet and Jonathan R. Partington},
This paper analyzes the BIBO stability of fractional exponential delay systems which are of retarded or neutral type. Conditions ensuring stability are given first. As is the case for the classical class of delay systems these conditions can be expressed in terms of the location of the poles of the system. Then, in view of constructing robust BIBO stabilizing controllers, explicit expressions of coprime and Bezout factors of these systems are determined. Moreover, nuclearity is analyzed in a… CONTINUE READING
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Analysis of fractional delay systems of гetarded and neutгal type

  • C. Bonnet, J. R. Partington
  • Pгeprint
  • 2000
Highly Influential
7 Excerpts

Coprime factoгizations and stability of fгactional differential systems

  • C. Bonnet, J. R. Partington
  • Systems Control Lett
  • 2000
Highly Influential
5 Excerpts

Some stability conditions for fractional delay systems

  • R. Hotzel
  • J. Math. Systems, Estimation, and Control
  • 1998
3 Excerpts

Stabilisation de ľéquation de la chaleur commandée en flux. Systèmes Difféгentiels Fractionnaires, Modèles

  • J.-J. Loiseau, H. Mounier
  • Méthodes et Applications. ESAIM Pгoceedings
  • 1998
3 Excerpts

An Introduction to Infinite Dimensional Lineaг Systems Theory

  • R. F . Cuгtain, H. J. Zwart
  • 1995
2 Excerpts

Représentations en variables ďétat de modèles de guides ďondes avec dérivation fractionnaire

  • D. Matignon
  • Thèse de doctorat, Univ. Paris XI,
  • 1994
1 Excerpt

Volterra Integral and Functional Equations

  • G. Gгipenberg, S. O. Londen, O. Staffans
  • 1990
1 Excerpt

An Introduction to Hankel Operators

  • J. R. Partington
  • 1988
1 Excerpt

Paгtington: Realization and approximation of linear infinite dimensional systems with error bounds

  • K. Glover, R. F . Curtain, R J.
  • SIAM J. Contгol Optim
  • 1988
2 Excerpts

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