Free Access
Issue
ESAIM: M2AN
Volume 53, Number 5, September-October 2019
Page(s) 1577 - 1606
DOI https://doi.org/10.1051/m2an/2019021
Published online 06 August 2019
  1. E. Aulisa and D.S. Gilliam, A Practical Guide to Geometric Regulation for Distributed Parameter Systems. Chapman and Hall/CRC, Boca Raton (2015). [CrossRef] [Google Scholar]
  2. E. Aulisa and D.S. Gilliam, Regulation of a controlled Burgers’ equation: Tracking and disturbance rejection for general time dependent signals. In: Proceedings American Control Conference (2013) 1290–1295. [Google Scholar]
  3. E. Aulisa and D.S. Gilliam, A numerical algorithm for set-Point regulation of non-linear parabolic control systems. Int. J. Numer. Anal. Model. 11 (2014) 54–85. [Google Scholar]
  4. E. Aulisa, J.A. Burns and D.S. Gilliam, An example of thermal regulation of a two dimensional non-isothermal incompressible flow. In: Proceedings 51st IEEE conference on Decision and Control (2012) 1578–1583. [Google Scholar]
  5. E. Aulisa, J.A. Burns and D.S. Gilliam, Velocity control of a counter-flow heat exchanger. IFAC-PapersOnLine 49 (2016) 104–109. [CrossRef] [Google Scholar]
  6. H.T. Banks, W. Fang and R.C. Smith, Active noise control: Piezoceramic actuators in fluid/structure interaction models. Decision and Control, Proceedings of the 30th IEEE Conference. IEEE, Los Alamitos, CA (1991) 2328–2333. [Google Scholar]
  7. J. Borggaard, J.A. Burns, A. Surana and L. Zietsman, Control, estimation and optimization of energy efficient buildings. In: Proceedings of 2009 American Control Conference Hyatt Regency, Riverfront, St. Louis, MO (2009) 837–841. [Google Scholar]
  8. C.I. Byrnes, D.S. Gilliam, I.G. Laukó and V.I. Shubov, Output regulation for linear distributed parameter systems. IEEE Trans. Auto. Control 45 (2000) 2236–2252. [CrossRef] [Google Scholar]
  9. E.J. Davison, The robust control of a servomechanism problem for linear time-invariant multivariable systems. IEEE Trans. Auto. Control AC-21 (1976) 25–34. [CrossRef] [Google Scholar]
  10. N. Dunford and J. Schwartz, Linear Operators. Interscience, NY Vols. I, II, III (1963). [Google Scholar]
  11. K.J. Engel and R. Nagel, One-parameter semigroups for linear evolution equations. In: Volume 194 of Graduate Texts in Mathematics. Springer-Verlag, New York (2000). [Google Scholar]
  12. B.A. Francis, The linear multivariable regulator problem. SIAM J. Control. Optim. 14 (1977) 486–505. [CrossRef] [Google Scholar]
  13. B.A. Francis and W.M. Wonham, The internal model principle of control theory. Automatica 12 (1976) 457–465. [CrossRef] [Google Scholar]
  14. M. Haase, The Functional Calculus for Sectorial Operators. Springer Sciences & Business Media, Berlin, Heidelberg (2006). [CrossRef] [Google Scholar]
  15. D. Henry, Geometric theory of semilinear parabolic equations. In: Volume 840 of Lecture Notes in Mathematics, Springer-Verlag, Berlin (1981). [CrossRef] [Google Scholar]
  16. K. Mikkola, Infinite dimensional linear systems, optimal control and algebraic Riccati equations. Doctoral dissertation, Helsinki University of Technology (2002). [Google Scholar]
  17. T. Kato, Perturbation Theory of Linear Operators. Springer-Verlag, Berlin, Heidelberg (1966). [Google Scholar]
  18. T.W. Pathiranage, Analysis of the Error in an Iterative Algorithm for Solution of the Regulator Equations for Linear Distributed Parameter Control Systems. Ph.D. thesis, Texas Tech University (2016). [Google Scholar]
  19. S.A. Pohjolainen, Robust multivariable PI-controller for infinite Dimensional Systems. IEEE Trans. Auto. Control AC-27 (1982) 17–30. [CrossRef] [Google Scholar]
  20. S.A. Pohjolainen, On the asymptotic regulation problem for distributed parameter systems. In: Proc. Third Symposium on Control of Distributed Parameter Systems, Toulouse, France (1982). [Google Scholar]
  21. V. Natarajan, D.S. Gilliam and G. Weiss, The state feedback regulator problem for regular linear systems. IEEE Trans. Automatic Control 59 (2014) 2708–2723. [CrossRef] [Google Scholar]
  22. A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations. Springer-Verlag, New York (1983). [CrossRef] [Google Scholar]
  23. P. Holmes, A nonlinear oscillator with strange attractors. Phil. Trans. R. Soc. London Ser. A Math. Phys. Sci. 292 (1979) 419–448. [CrossRef] [Google Scholar]
  24. L. Paunonen, Robustness of stability of C0-semigroups. Master’s thesis, Tampere University of Technology (2007). [Google Scholar]
  25. J.M. Schumacher, Finite-dimensional regulators for a class of infinite dimensional systems. Syst. Control Lett. 3 (1983) 7–12. [CrossRef] [Google Scholar]
  26. J.M. Schumacher, Dynamic Feedback in Finite - and Infinite-Dimensional Linear Systems, Mathematical Centre Tracts No. 143. Mathematical Centre, Amsterdam (1981). [Google Scholar]
  27. O.J. Staffans, Well-posed Linear Systems. Cambridge University Press, Cambridge (2005). [CrossRef] [Google Scholar]
  28. W.M. Wonham, Linear Multivariable Control: A Geometric Approach, 2nd edn. Springer Verlag, New York (1979). [CrossRef] [Google Scholar]

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