Free Access
Volume 11, Number 4, October 2005
Page(s) 673 - 690
Published online 15 September 2005
  1. G. Allaire, Shape optimization by the homogenization method. Springer-Verlag, New York (2002). [Google Scholar]
  2. H.T. Banks, R.C. Smith and Y. Wang, Smart material structures, modelling, estimation and control. Res. Appl. Math. Masson, Paris (1996). [Google Scholar]
  3. D. Chenais and E. Zuazua, Finite Element Approximation on Elliptic Optimal Design. C.R. Acad. Sci. Paris Ser. I 338 729–734 (2004). [Google Scholar]
  4. M.J. Chen and C.A. Desoer, Necessary and sufficient conditions for robust stability of linear distributed feedback systems. Internat. J. Control 35 (1982) 255–267. [CrossRef] [MathSciNet] [Google Scholar]
  5. R.F. Curtain and B. Van Keulen, Robust control with respect to coprime factors of infinite-dimensional positive real systems. IEEE Trans. Autom. Control 37 (1992) 868–871. [CrossRef] [Google Scholar]
  6. R.F. Curtain and B. Van Keulen, Equivalence of input-output stability and exponential stability for infinite dimensional systems. J. Math. Syst. Theory 21 (1988) 19–48. [Google Scholar]
  7. R.F. Curtain, A synthesis of Time and Frequency domain methods for the control of infinite dimensional systems: a system theoretic approach, in Control and Estimation in Distributed Parameter Systems, H.T. Banks Ed. SIAM (1988) 171–224. [Google Scholar]
  8. R. Datko, Not all feedback stabilized hyperbolic systems are robust with respect to small time delays in their feedbacks. SIAM J. Control Optim. 26 (1988) 697–713. [CrossRef] [MathSciNet] [Google Scholar]
  9. E. Degryse, Étude d'une nouvelle approche pour la conception de capteurs et d'actionneurs pour le contrôle des systèmes flexibles abstraits. Ph.D. Thesis, Université de Technologie de Compiègne, France (2002). [Google Scholar]
  10. P.H. Destuynder, I. Legrain, L. Castel and N. Richard, Theoretical, numerical and experimental discussion on the use of piezoelectric devices for control-structure interaction. Eur. J. Mech A/solids 11 (1992) 181–213. [Google Scholar]
  11. B.A. Francis, A Course in H Control Theory. Lecture notes in control and information sciences. Springer-Verlag Berlin (1988). [Google Scholar]
  12. P. Freitas and E. Zuazua, Stability results for the wave equation with indefinite damping. J. Diff. Equations 132 (1996) 338–352. [Google Scholar]
  13. J.S. Freudenberg and P.D. Looze, Right half plane poles and zeros and design tradeoffs in feedback systems. IEEE Trans. Autom. Control 30 (1985) 555–565. [CrossRef] [Google Scholar]
  14. J.S. Gibson and A. Adamian, Approximation theory for Linear-Quadratic-Gaussian control of flexible structures. SIAM J. Control Optim. 29 (1991) 1–37. [Google Scholar]
  15. A. Haraux, Systèmes dynamiques dissipatifs et applications. Masson, Paris (1990). [Google Scholar]
  16. P. Hébrard and A. Henrot, Optimal shape and position of the actuators for the stabilization of a string. Syst. Control Lett. 48 (2003) 199–209. [CrossRef] [Google Scholar]
  17. P. Hébrard and A. Henrot, A spillover phenomenon in the optimal location of actuators. SIAM J. Control Optim., to appear. [Google Scholar]
  18. C. Inniss and T. Williams, Sensitivity of the zeros of flexible structures to sensor and actuator location. IEEE Trans. Autom. Control 45 (2000) 157–160. [CrossRef] [Google Scholar]
  19. S. Jaffard, M. Tucsnak and E. Zuazua, Singular internal stabilization of the wave equation. J. Differential Equations 145 (1998) 184–215. [CrossRef] [MathSciNet] [Google Scholar]
  20. T. Kato, Perturbation theory for linear operators. Springer-Verlag, Berlin (1980). [Google Scholar]
  21. B. van Keulen, H control for distributed parameter systems: a state-space approach. Birkaüser, Boston (1993). [Google Scholar]
  22. I. Lasiecka and R. Triggiani, Non-dissipative boundary stabilization of the wave equation via boundary observation. J. Math. Pures Appl. 63 (1984) 59–80. [MathSciNet] [Google Scholar]
  23. D.G. Luenberger, Optimization by Vector Space Methods. John Wiley and Sons, New York (1969). [Google Scholar]
  24. F. Macia and E. Zuazua, On the lack of controllability of wave equations: a Gaussian beam approach. Asymptotic Analysis 32 (2002) 1–26. [MathSciNet] [Google Scholar]
  25. M. Minoux, Programmation Mathématique: théorie et algorithmes, tome 2. Dunod, Paris (1983). [Google Scholar]
  26. O. Morgül, Dynamic boundary control of an Euler-Bernoulli beam. IEEE Trans. Autom. Control 37 (1992) 639–642. [CrossRef] [Google Scholar]
  27. S. Mottelet, Controllability and stabilization of a canal with wave generators. SIAM J. Control Optim. 38 (2000) 711–735. [CrossRef] [MathSciNet] [Google Scholar]
  28. V.M. Popov, Hyperstability of Automatic Control Systems. Springer, New York (1973). [Google Scholar]
  29. F. Shimizu and S. Hara, A method of structure/control design Integration based on finite frequency conditions and its application to smart arm structure design, Proc. of SICE 2002, Osaka, (August 2002). [Google Scholar]
  30. V.A. Spector and H. Flashner, Sensitivity of structural models for non collocated control systems. Trans. ASME 111 (1989) 646–655. [Google Scholar]
  31. M. Tucsnak and S. Jaffard, Regularity of plate equations with control concentrated in interior curves. Proc. Roy. Soc. Edinburg A 127 (1997) 1005–1025. [Google Scholar]
  32. Y. Zhang, Solving Large-Scale Linear Programs by Interior-Point Methods Under the MATLAB Environment. Technical Report TR96-01, Department of Mathematics and Statistics, University of Maryland, Baltimore, MD (July 1995). [Google Scholar]

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