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International Journal of Control Volume 46, 1987 - Issue 5
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Original Articles

Boundary-value descriptor systems: well-posedness, reachability and observability

RAMINE NIKOUKHAH† Department of Electrical Engineering and Computer Science and the Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, Massachusetts, 02139, U.S.A.
,
ALAN S. WILLSKY† Department of Electrical Engineering and Computer Science and the Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, Massachusetts, 02139, U.S.A.
&
BERNARD C. LEVY† Department of Electrical Engineering and Computer Science and the Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, Massachusetts, 02139, U.S.A.
Pages 1715-1737 | Received 05 Jan 1987, Published online: 25 Jun 2007

REFERENCES

  • ADAMS , M. B. , 1983 , Linear estimation of boundary value stochastic processes . Sc.D. thesis , M.I.T ., Cambridge , Mass .
  • ADAMS , M B. , LEVY, B. C, and WILLSKY , A. S. , 1984 a , Proc. 23rd I.E.E.E. Conf. on Decision and Control , Las Vegas .
  • ADAMS , M. B. , WILLSKY , A. S. , and LEVY , B. C. , 1984 b , I.E.E.E. Trans, autom. Control , 29 , 803 ; 1984 c, Ibid., 29, 811 .
  • BENDER , D. J. , 1985 a , Proc. Symp. on Mathematical Theory of Networks and Systems , Stockholm; 1985 b, Lyapunov-like equations and eachability/observability gramians for descriptor systems. Proc. Symp. on the Mathematical Theory of Networks and Systems , Stockholm , June 1985 .
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  • LEWIS , F. L. , 1983 a , I.E.E.E. Trans, autom. Control , 28 , 623 ; 1983 b, Proc. 22nd I.E.E.E. Conf. on Decision and Control, San Antonio; 1984, I.E.E.E. Trans, autom. Control, 29, 167; 1985,Ibid., 30, 502 .
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  • NIKOUKHAH , R. , 1986 , System theory for two-point boundary value descriptor systems . S.M. thesis , M.I.T ., Cambridge , Mass .
  • NIKOUKHAH , R. , ADAMS , M. B. , WILLSKY , A. S. ,LEVY, B. C, 1986 , Estimation for boundary-value descriptor systems . Circuits Syst. Signal Process. , submitted for publication .
  • VAN DER WEIDEN , A. J. J. , and BOSGRA , O. H. , Int. J. Control , 32 , 489 .
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  • VERGHESE , G. C. , 1978 , Infinite frequency behavior in generalized dynamic systems . Ph.D.thesis , Stanford University .
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  • YIP , E. L. , and SINCOVEC , F. , 1981 , I.E.E.E. Trans, autom. Control , 26 , 702 .

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