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Original Articles

Spatial discretization and approximation of distributed feedback loops and inputs

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Pages 933-945 | Received 24 Apr 1991, Published online: 15 Mar 2007

REFERENCES

  • AGMON , S. , and KANNAI , Y. , 1967 , On the asymptotic behavior of spectral functions and kernels of elliptic operators . Israel Journal of Mathematics , 5 , 1 – 30 ,.
  • ATHANS , M. , 1970 , Toward a practical theory of distributed parameter systems . IEEE Transactions on Automatic Control , 15 , 245 – 247 ,.
  • BAKER , C. , 1977 , The Numerical Treatment of Integral Equations ( Oxford , U.K : Clarendon Press ).
  • GOHBERG , I. , and GOLDBERG , S. , 1981 , Basic Operator Theory ( Basel , Switzerland : Birk-hauser ).
  • HILBERT , D. , 1953 , Integral Gleichungen ( New York : Chelsea ).
  • KELEMEN , M. , KANNAI , Y. , and HOROWITZ , I. , 1989 , One point feedback approach to distributed linear systems . International Journal of Control , 49 , 969 – 980 ,; 1990, Arbitrarily low sensitivity in linear distributed systems, using pointwise linear feedback. IEEE Transactions on Automatic Control, 35, 1071–1075 .
  • MELCHER , J. R. , 1965 , An experiment to stabilize an electromechanical continuum . IEEE Transactions on Automatic Control , 10 , 466 – 469 .
  • MOISEIWITSCH , B. L. , 1977 , Integral Equations ( London , U.K : Longman ).
  • POHJOLAINEN , S. A. , 1982 , Robust multivariate Pi-controller for infinite dimensional systems . IEEE Transactions on Automatic Control , 27 , 17 – 30 ,.
  • VIDYASAGAR , M. , and ANDERSON , B. D. O. , 1989 , Approximation and stabilization of distributed systems by lumped systems . Systems and Control Letters , 12 , 95 – 101 .
  • VIDYASAGAR , M. , and HIOGINS , T. J. , 1973 , A basic theorem on distributed control and point control . Journal of Dynamic Systems, Measurement and Control , 95 , 64 – 67 .

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