Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-27T07:48:30.933Z Has data issue: false hasContentIssue false
  • English
  • Français

Corrigendum to: “On the circle criterionfor boundary control systems in factor form: Lyapunov stabilityand Lur'e equations”

Published online by Cambridge University Press:  18 June 2009

Piotr Grabowski  and
Frank M. Callier
Piotr Grabowski
Affiliation:
Institute of Automatics, AGH University of Science and Technology, avenue A. Mickiewicz 30, B1, rm. 314, 30-059 Cracow, Poland. pgrab@ia.agh.edu.pl
Frank M. Callier
Affiliation:
University of Namur (FUNDP), Department of Mathematics, Rempart de la Vierge 8, 5000 Namur, Belgium.
Get access

Abstract

A corrected version of [P. Grabowski and F.M. Callier, ESAIM: COCV12 (2006) 169–197], Theorem 4.1, p. 186, and Example, is given.

Keywords

Infinite-dimensional control systemssemigroupsLyapunovfunctionalscircle criterion.
Type
Correction
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 15 , Issue 3 , July 2009 , pp. 741 - 744
Copyright
© EDP Sciences, SMAI, 2009

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Ball, J.M., Strongly continuous semigroups, weak solutions, and the variation of constants formula. P. Am. Math. Soc. 63 (1977) 370–373.
Grabowski, P. and Callier, F.M., On the circle criterion for boundary control systems in factor form: Lyapunov stability and Lur'e equations. ESAIM: COCV 12 (2006) 169–197. CrossRef
Oostveen, J.C. and Curtain, R.F., Riccati equations for strongly stabilizable bounded linear systems. Automatica 34 (1998) 953–967. CrossRef
A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations. Springer Verlag, New York (1983).