S. Boyd, L. Ghaoui, E. Féron, and V. Balakrishnan, Linear matrix inequalities in systems and control theory, Studies in Applied Mathematics. SIAM, vol.15, 1994.
DOI : 10.1137/1.9781611970777

H. Brézis, Analyse fonctionnelle. Théorie et applications, 1992.

R. F. Curtain, Old and New Perspectives on the Positive-real Lemma in Systems and Control Theory, ZAMM, vol.79, issue.9, pp.579-590, 1999.
DOI : 10.1002/(SICI)1521-4001(199909)79:9<579::AID-ZAMM579>3.0.CO;2-8

R. F. Curtain and H. J. Zwart, An introduction to infinite?dimensional linear systems theory, of Texts in Applied Mathematics, 1995.
DOI : 10.1007/978-1-4612-4224-6

R. Dautray and J. Lions, Mathematical analysis and numerical methods for science and technology, pp.286-290, 1984.

B. Gustafsson, H. Kreiss, and J. Oliger, Time dependent problems and difference methods, Pure and Applied Mathematics, 1995.
DOI : 10.1002/9781118548448

URL : http://dx.doi.org/10.1016/0898-1221(96)87350-0

H. Haddar, T. Hélie, and D. Matignon, A Webster-Lokshin model for waves with viscothermal losses and impedance boundary conditions: strong solutions. In Sixth int. conf. on math. and num. aspects of wave propagation phenomena, pp.66-71, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00744158

. Th and . Hélie, Unidimensional models of the acoustic propagation in axisymmetric waveguides, J. Acoust. Soc. Amer, vol.114, issue.5, pp.2633-2680, 2003.

. Th, D. Hélie, and . Matignon, Numerical simulation of acoustic waveguides for Webster-Lokshin model using diffusive representations. In Sixth int. conf. on math. and num. aspects of wave propagation phenomena, pp.72-77, 2003.

A. A. Lokshin, Wave equation with singular retarded time, Dokl. Akad. Nauk SSSR, vol.240, pp.43-46, 1978.

A. A. Lokshin and V. E. Rok, Fundamental solutions of the wave equation with retarded time, Dokl. Akad. Nauk SSSR, vol.239, pp.1305-1308, 1978.

Z. H. Luo, B. Z. Guo, and O. Morgul, Stability and stabilization of infinite dimensional systems with applications, Communications and Control Engineering, 1999.
DOI : 10.1007/978-1-4471-0419-3

D. Matignon and B. , Andréa-Novel. Spectral and time-domain consequences of an integro-differential perturbation of the wave PDE, Third int. conf. on math. and num. aspects of wave propagation phenomena, pp.769-771, 1995.

D. Matignon, J. Audounet, and G. Montseny, Energy decay for wave equations with damping of fractional order. In Fourth int. conf. on math. and num. aspects of wave propagation phenomena, pp.638-640, 1998.

D. Matignon and G. Montseny, Fractional Differential Systems: models, methods and applications, of ESAIM: Proceedings, December 1998. smai. URL: http://www.edpsciences.org/articlesproc

D. Matignon and C. , Prieur Asymptotic stability of linear conservative systems when coupled with diffusive systems, Mathematical Theory of Networks and Systems, 2004.

J. Polack, Time domain solution of Kirchhoff's equation for sound propagation in viscothermal gases: a diffusion process, J. Acoustique, vol.4, pp.47-67, 1991.

A. Rantzer, On the Kalman???Yakubovich???Popov lemma, Systems & Control Letters, vol.28, issue.1, pp.7-10, 1996.
DOI : 10.1016/0167-6911(95)00063-1

E. D. Sontag, Mathematical Control Theory Deterministic Finite Dimensional Systems, of Texts in Applied Mathematics, 1990.

O. J. Staffans, Well-posedness and stabilizability of a viscoelastic equation in energy space, Transactions of the American Mathematical Society, vol.345, issue.2, pp.527-575, 1994.
DOI : 10.1090/S0002-9947-1994-1264153-X

J. C. Strikwerda, Finite difference schemes and partial differential equations Mathematics series, 1989.