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All issues Volume 17 / No 2 (April-June 2011) ESAIM: COCV, 17 2 (2011) 410-445 References
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Issue
ESAIM: COCV
Volume 17, Number 2, April-June 2011
Page(s) 410 - 445
DOI https://doi.org/10.1051/cocv/2010014
Published online 31 March 2010
  1. J. Berstel and C. Reutenauer, Rational series and their languages, EATCS Monographs on Theoretical Computer Science. Springer-Verlag (1984). [Google Scholar]
  2. M.F. Callier and A.C. Desoer, Linear System Theory. Springer-Verlag (1991). [Google Scholar]
  3. P. D'Alessandro, A. Isidori and A. Ruberti, Realization and structure theory of bilinear dynamical systems. SIAM J. Control 12 (1974) 517–535. [CrossRef] [MathSciNet] [Google Scholar]
  4. S. Eilenberg, Automata, Languages and Machines. Academic Press, New York-London (1974). [Google Scholar]
  5. M. Fliess, Matrices de Hankel. J. Math. Pures Appl. 53 (1974) 197–222. [Google Scholar]
  6. M. Fliess, Realizations of nonlinear systems and abstract transitive Lie algebras. Bull. Amer. Math. Soc. 2 (1980) 444–446. [CrossRef] [MathSciNet] [Google Scholar]
  7. M. Fliess, Fonctionnelles causales non linéaires et indéterminées non commutatives. Bull. Soc. Math. France 109 (1981) 3–40. [MathSciNet] [Google Scholar]
  8. F. Gécseg and I. Peák, Algebraic theory of automata. Akadémiai Kiadó, Budapest (1972). [Google Scholar]
  9. A. Isidori, Direct construction of minimal bilinear realizations from nonlinear input-output maps. IEEE Trans. Automat. Contr. AC-18 (1973) 626–631. [Google Scholar]
  10. A. Isidori, Nonlinear Control Systems. Springer-Verlag (1989). [Google Scholar]
  11. N. Jacobson, Lectures in Abstract Algebra, Vol. II: Linear algebra. D. van Nostrand Company, Inc., New York (1953). [Google Scholar]
  12. B. Jakubczyk, Existence and uniqueness of realizations of nonlinear systems. SIAM J. Control Optim. 18 (1980) 455–471. [CrossRef] [MathSciNet] [Google Scholar]
  13. B. Jakubczyk, Realization theory for nonlinear systems, three approaches, in Algebraic and Geometric Methods in Nonlinear Control Theory, M. Fliess and M. Hazewinkel Eds., D. Reidel Publishing Company (1986) 3–32. [Google Scholar]
  14. W. Kuich and A. Salomaa, Semirings, Automata, Languages, in EATCS Monographs on Theoretical Computer Science, Springer-Verlag (1986). [Google Scholar]
  15. D. Liberzon, Switching in Systems and Control. Birkhäuser, Boston (2003). [Google Scholar]
  16. M. Petreczky, Realization theory for linear switched systems, in Proceedings of the Sixteenth International Symposium on Mathematical Theory of Networks and Systems (2004). [ Draft available at http://www.cwi.nl/~mpetrec.] [Google Scholar]
  17. M. Petreczky, Realization theory for bilinear hybrid systems, in 11th IEEE Conference on Methods and Models in Automation and Robotics (2005). [CD-ROM only.] [Google Scholar]
  18. M. Petreczky, Realization theory for bilinear switched systems, in Proceedings of 44th IEEE Conference on Decision and Control (2005). [CD-ROM only.] [Google Scholar]
  19. M. Petreczky, Hybrid formal power series and their application to realization theory of hybrid systems, in 17th International Symposium on Mathematical Networks and Systems (2006). [Google Scholar]
  20. M. Petreczky, Realization Theory of Hybrid Systems. Ph.D. Thesis, Vrije Universiteit, Amsterdam (2006). [Available online at: http://www.cwi.nl/~mpetrec.] [Google Scholar]
  21. M. Petreczky, Realization theory for linear switched systems: Formal power series approach. Syst. Control Lett. 56 (2007) 588–595. [CrossRef] [Google Scholar]
  22. C. Reutenauer, The local realization of generating series of finite lie-rank, in Algebraic and Geometric Methods in Nonlinear Control Theory, M. Fliess and M. Hazewinkel Eds., D. Reidel Publishing Company (1986) 33–43. [Google Scholar]
  23. M.-P. Schtzenberger, On the definition of a family of automata. Inf. Control 4 (1961) 245–270. [Google Scholar]
  24. E.D. Sontag, Polynomial Response Maps, Lecture Notes in Control and Information Sciences 13. Springer Verlag (1979). [Google Scholar]
  25. E.D. Sontag, Realization theory of discrete-time nonlinear systems: Part I – The bounded case. IEEE Trans. Circuits Syst. 26 (1979) 342–356. [CrossRef] [Google Scholar]
  26. Z. Sun, S.S. Ge and T.H. Lee, Controllability and reachability criteria for switched linear systems. Automatica 38 (2002) 115–786. [CrossRef] [Google Scholar]
  27. H. Sussmann, Existence and uniqueness of minimal realizations of nonlinear systems. Math. Syst. Theory 10 (1977) 263–284. [CrossRef] [Google Scholar]
  28. Y. Wang and E. Sontag, Algebraic differential equations and rational control systems. SIAM J. Control Optim. 30 (1992) 1126–1149. [CrossRef] [MathSciNet] [Google Scholar]

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