# Corrigendum to: “On the circle criterion for boundary control systems in factor form: Lyapunov stability and Lur'e equations”

Piotr Grabowski; Frank M. Callier

ESAIM: Control, Optimisation and Calculus of Variations (2009)

- Volume: 15, Issue: 3, page 741-744
- ISSN: 1292-8119

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topGrabowski, Piotr, and 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 15.3 (2009): 741-744. <http://eudml.org/doc/250565>.

@article{Grabowski2009,

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.
},

author = {Grabowski, Piotr, Callier, Frank M.},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Infinite-dimensional control systems; semigroups; Lyapunov
functionals; circle criterion.; infinite-dimensional control systems; Lyapunov functionals; circle criterion},

language = {eng},

month = {6},

number = {3},

pages = {741-744},

publisher = {EDP Sciences},

title = {Corrigendum to: “On the circle criterion for boundary control systems in factor form: Lyapunov stability and Lur'e equations”},

url = {http://eudml.org/doc/250565},

volume = {15},

year = {2009},

}

TY - JOUR

AU - Grabowski, Piotr

AU - Callier, Frank M.

TI - Corrigendum to: “On the circle criterion for boundary control systems in factor form: Lyapunov stability and Lur'e equations”

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2009/6//

PB - EDP Sciences

VL - 15

IS - 3

SP - 741

EP - 744

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

LA - eng

KW - Infinite-dimensional control systems; semigroups; Lyapunov
functionals; circle criterion.; infinite-dimensional control systems; Lyapunov functionals; circle criterion

UR - http://eudml.org/doc/250565

ER -

## References

top- J.M. Ball, Strongly continuous semigroups, weak solutions, and the variation of constants formula. P. Am. Math. Soc.63 (1977) 370–373.
- P. Grabowski and F.M. Callier, On the circle criterion for boundary control systems in factor form: Lyapunov stability and Lur'e equations. ESAIM: COCV12 (2006) 169–197.
- J.C. Oostveen and R.F. Curtain, Riccati equations for strongly stabilizable bounded linear systems. Automatica34 (1998) 953–967.
- A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations. Springer Verlag, New York (1983).

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