A Hautus test for infinite-dimensional systems

Unsolved Problems in Mathematical Systems and Control Theory

Volumn , Issue , 2009, Pages 251-255

  Jacob, Birgit ^a   Zwart, Hans ^b  

^a TU DORTMUND UNIVERSITY   (Germany)

^b UNIVERSITY OF TWENTE   (Netherlands)

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[No Author keywords available]

Indexed keywords

EID: 84884854021     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter

References (12)

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2. M.L.J. Hautus, "Controllability and observability conditions for linear autonomous systems," Ned. Akad. Wetenschappen, Proc. Ser. A, 72:443-448, 1969.
3. B.Jacob and J.R. Partington, "The Weiss conjecture on admissibility of observation operators for contraction semigroups," Integral Equations and Operator Theory, 40(2):231-243, 2001.
4. B. Jacob and H. Zwart, "Disproof of two conjectures of George Weiss," Memorandum 1546, Faculty of Mathematical Sciences, University of Twente, 2000. Available at http://www.math.utwente.nl/publications/
5. B. Jacob and H. Zwart, "Exact observability of diagonal systems with a finite-dimensional output operator," Systems & Control Letters, 43(2):101-109, 2001.
6. J. Klamka, Controllability of Dynamical Systems, Kluwer Academic Publisher, 1991.
7. N. Levan, "The left-shift semigroup approach to stability of distributed systems," J. Math. Ana. Appl., 152: 354-367, 1990.
8. V. M. Popov, Hyperstability of Control Systems. Editura Academiei, Bucharest, 1966 (in Romanian); English trans. by Springer Verlag, Berlin, 1973.
9. D. L. Russell and G. Weiss, "A general necessary condition for exact observability," SIAM J. Control Optim., 32(1):1-23, 1994.
10. B. Sz.-Nagy and C. Foias, Harmonic analysis of operators on Hilbert spaces, Amsterdam-London: North-Holland Publishing Company. XIII, 1970.
11. G. Weiss, "Admissible observation operators for linear semigroups," Israel Journal of Mathematics, 65:17-43, 1989.
12. Q. Zhou and M. Yamamoto, "Hautus condition on the exact controllability of conservative systems," Int. J. Control, 67(3):371-379, 1997.