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Singular perturbations and linear feedback control

Part of the Lecture Notes in Mathematics book series (LNM,volume 703)

Keywords

  • Cauchy Problem
  • Riccati Equation
  • Singular Perturbation
  • Fundamental Matrix
  • Representation Formula

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References

  1. V. Dragan, A. Halanay: Suboptimal linear controller by singular perturbations techniques, Rev.Roum.Sci.Techn. Electrotechn. et Energ. 21 (1976), 4, 585–591

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  2. R.E. O'Malley Jr., C.F. Kung: On the matrix Riccati approach to a singularly perturbed regulator problem, Journal of diff. equations vol. 16 (1974), No.3, 413–427

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  3. V.I. Glizer, M.G. Dmitriev: Singular perturbations in the linear control problem with a quadratic functional, Diff.Uravnenia XI, (1975), 11, 1915–1921 (Russian)

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  4. P.V. Kokotovic, R.E. O'Malley Jr., P. Sannuti: Singular perturbations and order reduction in control theory — An overview, Automatica, vol. 12 (1976), 123–132

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  5. R.E. O'Malley Jr.: A more direct solution of the nearly singular linear regulator problem, SIAM Journal on Control and Optimization 14 (1976), No.6, 1063–1077

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© 1979 Spring-Verlag

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Dragan, V., Halanay, A. (1979). Singular perturbations and linear feedback control. In: Fábera, J. (eds) Equadiff IV. Lecture Notes in Mathematics, vol 703. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067260

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  • DOI: https://doi.org/10.1007/BFb0067260

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09116-5

  • Online ISBN: 978-3-540-35519-9

  • eBook Packages: Springer Book Archive