Corrigendum to : “On the circle criterion for boundary control systems in factor form : Lyapunov stability and Lur'e equations”
ESAIM: Control, Optimisation and Calculus of Variations, Tome 15 (2009) no. 3, pp. 741-744.
corrige On the circle criterion for boundary control systems in factor form : Lyapunov stability and Lur'e equations

A corrected version of [P. Grabowski and F.M. Callier, ESAIM: COCV 12 (2006) 169-197], Theorem 4.1, p. 186, and Example, is given.

DOI : 10.1051/cocv/2009011
Classification : 93B, 47D, 35A, 34G
Mots-clés : infinite-dimensional control systems, semigroups, Lyapunov functionals, circle criterion 
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Grabowski, Piotr; Callier, Frank M. Corrigendum to : “On the circle criterion for boundary control systems in factor form : Lyapunov stability and Lur'e equations”. ESAIM: Control, Optimisation and Calculus of Variations, Tome 15 (2009) no. 3, pp. 741-744. doi : 10.1051/cocv/2009011. http://archive.numdam.org/articles/10.1051/cocv/2009011/

[1] J.M. Ball, Strongly continuous semigroups, weak solutions, and the variation of constants formula. P. Am. Math. Soc. 63 (1977) 370-373. | MR | Zbl

[2] P. Grabowski and F.M. Callier, On the circle criterion for boundary control systems in factor form: Lyapunov stability and Lur'e equations. ESAIM: COCV 12 (2006) 169-197. | Numdam | MR | Zbl

[3] J.C. Oostveen and R.F. Curtain, Riccati equations for strongly stabilizable bounded linear systems. Automatica 34 (1998) 953-967. | MR | Zbl

[4] A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations. Springer Verlag, New York (1983). | MR | Zbl

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