Abstract
A continuation-type method is proposed for solving nonlinear time-varying semistate equations. Details of the technique are outlined and proposals made for further study.
The material of the second author is based upon work supported in part by the U.S. National Science Foundation under Grant No. ECS-81-05507.
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References
B. Dziurla and R. Newcomb, "The Drazin Inverse and Semi-State Equations", Proceedings of the 4th International Symposium on the Mathematical Theory of Networks and Systems Delft, July 1979, pp. 283–289.
R. W. Newcomb, "The Semistate Description of Nonlinear and Time-Variable Circuits", IEEE Transactions on Circuit and Systems, Vol. CAS-28, No.1, January 1981, pp. 62–71.
L. R. Petzold and C. W. Gear, "ODE Methods for the Solution of Differential/Algebraic Systems", Sandia Report SAND 82-8051, October 1982.
S. L. Campbell, "Singular Systems of Differential Equations II", Pitman Books, Ltd., London, 1982.
S. L. Campbell and J. Rodriquez, "Nonlinear Singular Systems: Perturbations and the Contraction Mapping Theorem", preprint, December 1982.
S. L. Campbell and L. R. Petzold, "Canonical Forms and Solvable Singular
J. C. Alexander, "The Topological Theory of an Embedding Method", in "Continuation Methods", edited by H. Wacker, Academic Press, New York, 1978, pp. 37–68.
J. W. Daniel and R. E. Moore, "Computation and Theory in Ordinary Differential Equations", W. H. Freeman & Co., San Francisco, 1970.
B. Dziurla and R. W. Newcomb, "A Semistate Model for Equal Slope Hysteresis" Proceedings of the International 83 Bermuda Winter Symposium on Modelling and Simulation, Bermuda, March 1983.
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© 1984 Springer-Verlag
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Dziurla, B., Newcomb, R.W. (1984). A continuation-type method for solving semistate equations. In: Fuhrmann, P.A. (eds) Mathematical Theory of Networks and Systems. Lecture Notes in Control and Information Sciences, vol 58. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0031060
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DOI: https://doi.org/10.1007/BFb0031060
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