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Feedback stabilization of a viscoelastic rod

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Advances in Computing and Control

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 130))

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References

  1. R. F. Curtain, Equivalence of input-output stability and exponential stability for infinite dimensional systems, TW-276 University of Groningen, preprint.

    Google Scholar 

  2. W. Desch and R. K. Miller, Exponential stabilization of Volterra integral equations with singular kernels, J. Integral Equations Appl., to appear.

    Google Scholar 

  3. B. A. Francis, A Course in H Control Theory, Lecture Notes in Control and Information Sciences, Vol. 88, Springer-Verlag, Berlin, 1987.

    Google Scholar 

  4. K. B. Hannsgen, Y. Renardy and R. L. Wheeler, Effectiveness and robustness with respect to time delays of boundary feedback stabilization in one-dimensional viscoelasticity, SIAM J. on Control and Optimization, 26 (1988), 1200–1234.

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  5. G. S. Jordan, O. J. Staffans and R. L. Wheeler, Local analyticity in weighted L 1-spaces and applications to stability problems for Volterra equations, Trans. Amer. Math. Soc., 274 (1982), 749–782.

    Google Scholar 

  6. R. C. MacCamy, Absorbing boundaries for viscoelasticity, in Viscoelasticity and Rheology, A. S. Lodge, J. A. Nohel and M. Renardy, eds., Academic Press, New York, 1985, 323–344.

    Google Scholar 

  7. D. V. Widder, The Laplace Transform, Princeton University Press, Princeton, New Jersey, 1946.

    Google Scholar 

  8. G. Zames and B. A. Francis, Feedback, minimax sensitivity, and optimal robustness, IEEE Trans. Automat. Control, vol. AC-28 (1983), 585–601.

    Google Scholar 

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William A. Porter Subhash C. Kak Jorge L. Aravena

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© 1989 Springer-Verlag

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Desch, W., Hannsgen, K.B., Wheeler, R.L. (1989). Feedback stabilization of a viscoelastic rod. In: Porter, W.A., Kak, S.C., Aravena, J.L. (eds) Advances in Computing and Control. Lecture Notes in Control and Information Sciences, vol 130. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0043282

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  • DOI: https://doi.org/10.1007/BFb0043282

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  • Print ISBN: 978-3-540-51425-1

  • Online ISBN: 978-3-540-46260-6

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