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Some topological properties of electrical machines

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Feedback Control of Linear and Nonlinear Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 39))

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Research Supported by NSF Grant ECS-8024917

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References

  1. W. Ambrose, The Cartan structural equations in classical Riemannian geometry, J. Indian Math. Soc. 24 (1960), 23–76.

    Google Scholar 

  2. M.F. Atiyah and R. Bott, On the periodicity theorem for complex vector bundles, Acta Math., 112 (1964), 229–247.

    Google Scholar 

  3. R. Bott, The stable homotopy of the classical groups, Ann. of Math. 70 (1959), 313–337

    Google Scholar 

  4. C.I. Byrnes and T.E. Duncan, On certain topological invariants arising in system theory, to appear in New Directions in Applied Mathematics (P. Hilton and G.S. Young, eds.) Springer-Verlag, 1981.

    Google Scholar 

  5. S. Kobayashi and K. Nomizu, Foundations of Differential Geometry I, Interscience, New York, 1963.

    Google Scholar 

  6. K. Kondo and Y. Ishizuka, Recapitulation of the geometrical aspects of Gabriel Kron's non-Riemannian electrodynamics, Memoirs of the Unifying Study of the Basic Problems in Engineering Sciences by Means of Geometry, I, 185–239, Tokyo, 1955.

    Google Scholar 

  7. G. Kron, Non-Riemannian dynamics for rotating electrical machinery, J. Math. Phys. 13(1934), 103–195.

    Google Scholar 

  8. G. Kron, The Application of Tensors to the Analysis of Rotating Electrical Machinery, General Electric Review, Schenectady, NY, 1938.

    Google Scholar 

  9. D.P. Sen Gupta and J.W. Lynn, Electrical Machine Dynamics, Macmillan, London, 1980.

    Google Scholar 

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D. Hinrichsen A. Isidori

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© 1982 Springer-Verlag

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Duncan, T.E. (1982). Some topological properties of electrical machines. In: Hinrichsen, D., Isidori, A. (eds) Feedback Control of Linear and Nonlinear Systems. Lecture Notes in Control and Information Sciences, vol 39. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0006819

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  • DOI: https://doi.org/10.1007/BFb0006819

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11749-0

  • Online ISBN: 978-3-540-39479-2

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