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All issues Volume 21 / No 2 (April-June 2015) ESAIM: COCV, 21 2 (2015) 583-601 References
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Issue
ESAIM: COCV
Volume 21, Number 2, April-June 2015
Page(s) 583 - 601
DOI https://doi.org/10.1051/cocv/2014039
Published online 19 March 2015
  1. A. Bensoussan, G. Da Prato, M.C. Delfour and S.K. Mitter, Representation and Control of Infinite Dimensional Systems, 2nd ed. Birkhäuser, Boston (2007). [Google Scholar]
  2. A. Borzì and G. Propst, Numerical investigation of the Liebau phenomenon. Z. Angew. Math. Phys. 54 (2003) 1050–1072. [CrossRef] [MathSciNet] [Google Scholar]
  3. W. Desch, E. Fašangová, J. Milota and G. Propst, Stabilization through viscoelastic boundary damping: a semigroup approach. Semigroup Forum 80 (2010) 405–415. [CrossRef] [MathSciNet] [Google Scholar]
  4. K.J. Engel and R. Nagel, One-Parameter Semigroups for Linear Evolution Equations. Springer-Verlag, New York (2000). [Google Scholar]
  5. M.A. Fernández, V. Milišić and A. Quarteroni, Analysis of a geometrical multiscale blood flow model based on the coupling of ODEs and Hyperbolic PDEs. Multiscale Model. Simul. 4 (2005) 215–236. [CrossRef] [Google Scholar]
  6. B. Guo, Riesz basis approach to the stabilization of a flexible beam with a tip mass. SIAM J. Control Optim. 39 (2001) 1736–1747. [CrossRef] [MathSciNet] [Google Scholar]
  7. B. Guo, Riesz basis property and exponential stability of controlled Euler-Bernoulli beam equations with variable coefficients. SIAM J. Control Optim. 40 (2002) 1905–1923. [CrossRef] [MathSciNet] [Google Scholar]
  8. B. Guo, J.M. Wang and S.P. Wang, On the C0-semigroup generation and exponential stabilization resulting from a shear force feedback on a rotating beam. Syst. Control Lett. 54 (2005) 557–574. [Google Scholar]
  9. B. Guo and R. Yu, The Riesz basis property of discrete operators and applications to a Euler-Bernoulli beam equations with boundary linear feedback control. IMA J. Math. Control Inf. 18 (2001) 241–251. [CrossRef] [MathSciNet] [Google Scholar]
  10. A.E. Ingham, Some trigonometrical inequalities with applications to the theory of series. Math. Z. 41 (1936) 367–379. [Google Scholar]
  11. B. Jacob and H. Zwart, Linear Port Hamiltonian Systems on Infinite-Dimensional Spaces. Birkhäuser, Basel (2012). [Google Scholar]
  12. V. Komornik, Exact Controllability and Stabilization: the Multiplier Method. Wiley-Masson, Paris-Chicester (1994). [Google Scholar]
  13. V. Komornik and P. Loreti, Fourier Series in Control Theory. Springer-Verlag, New York (2005). [Google Scholar]
  14. I. Lasiecka and R. Triggiani, Regularity of hyperbolic equations under L2(0,T;L2(Γ)) boundary terms. Appl. Math. Optim. 10 (1983) 275–286 [CrossRef] [MathSciNet] [Google Scholar]
  15. J.-L. Lions, Contrôle des systèmes distribués singuliers. Gauthiers-Villars, Paris (1968). [Google Scholar]
  16. M. Miklavc˘ic˘,Applied Functional Analysis and Partial Differential Equations. World Scientific, Singapore (1998). [Google Scholar]
  17. J.T. Ottesen, Valveless pumping in a fluid-filled closed elastic tube-system: one-dimensional theory with experimental validation. J. Math. Biol. 46 (2003) 309–332. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
  18. H.J. Rath and I. Teipel, Der Fördereffekt in ventillosen, elastischen Leitungen. Z. Angew. Math. Phys. 29 (1978) 123–133. [CrossRef] [Google Scholar]
  19. W. Ruan, A coupled system of ODEs and quasilinear hyperbolic PDEs arising in a multiscale blood flow model. J. Math. Anal. Appl. 343 (2008) 778–798. [CrossRef] [Google Scholar]
  20. O. Staffans, Well-Posed Linear Systems. Cambridge University Press (2005). [Google Scholar]
  21. M. Tucsnak and G. Weiss, Simultaneous exact controllability and some applications. SIAM J. Control Optim. 38 (2000) 1408–1427. [CrossRef] [MathSciNet] [Google Scholar]
  22. M. Tucsnak and G. Weiss, Observation and Control for Operator Semigroups. Birkhäuser-Verlag, Basel (2009). [Google Scholar]
  23. H.J. von Bredow, Untersuchung eines ventillosen Pumpprinzips. Fortschr. Ber. VDI-Zeitschr. Reihe 7 (1968). [Google Scholar]
  24. G. Xu and B Guo, Riesz basis property of evolution equations in Hilbert spaces and application to a coupled string equation. SIAM J. Control Optim. 42 (2003) 966–984. [CrossRef] [MathSciNet] [Google Scholar]
  25. C.-Z. Xu and G. Weiss, Eigenvalues and eigenvectors of semigroup generators obtained from diagonal generators by feedback. Commun. Inf. Syst. 11 (2011) 71–104. [MathSciNet] [Google Scholar]
  26. R. Young, An Introduction to Nonharmonic Fourier Analysis. Academic Press, New York (1980). [Google Scholar]

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