Publication Cover
Applicable Analysis
An International Journal
Volume 77, 2001 - Issue 1-2
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Original Articles

Optimal control of an elastic string with viscous damping

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Pages 3-10 | Received 01 Feb 2000, Published online: 02 May 2007

References

  • Belinskiy , B.P. , Dauter , J.P. , Martin , C. and Shubov , M.A. 1988 . On controllability of an Elastic String with a Viscous Damping . Numerical Functional Analysis &Optim , 19 : 227 – 255 .
  • Evans , L.C. 1998 . “ Partial Differential Equations ” . In American Mathematical Society , Providence .
  • Ladflenskaya , O.A. 1967 . “ Boundary Value Problems of Mathematical Physics ” . In American Mathematical Society Translation , Providence .
  • Lenhart S. Liang M. Bilinear Optimal Control for a Wave Equation with Viscous Damping to appear in Houston J. of Math
  • Lenhart , S. , Protopopescu , V. and Yong , J. Optimal Control of a Reflection Boundary coefficient in an Acoustic Wave Equation . Applicable Analysis , 69 ( 98 ) 179 – 194 .
  • Lenhart S. Protopopescu V. Yong J. Identification of Boundary Shape and Reflexivity in a Wave Equation by Optimal Control Techniques to appear in Differential and Integral Equations Journal
  • Liang , M. 1999 . Bilinear Optimal Control for a Wave Equation . Math. Models and Methods in Applied Sciences , 9 : 45 – 68 .
  • Shubov , M.A. , Martin , C.F. , Dauer , J.P. and Belinskiy , B.P. 1997 . Exact Controllability of the Damped Wave Equation . SIAM Journal on Control , 35 : 1773 – 1789 .

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