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Volumn 31, Issue 12, 1984, Pages 1015-1029

Solutions of Singular Constrained Differential Equations: A Generalization of Circuits Containing Capacitor-Only Loops and Inductor-Only Cutsets

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRONIC CIRCUITS - MATHEMATICAL MODELS;

EID: 0021724073     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCS.1984.1085466     Document Type: Article
Times cited : (24)

References (15)
  • 1
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    • S. S. Sastry and C. A. Desoer, “Jump behaviour of circuits and systems,” IEEE Trans. Circuits Syst., vol. CAS-28, pp. 1109–1124, Dec. 1981.
    • (1981) IEEE Trans. Circuits Syst. , vol.CAS-28 , pp. 1109-1124
    • Sastry, S.S.1    Desoer, C.A.2
  • 3
    • 0010995817 scopus 로고
    • Constrained equations: A study of implicit differential equations and their discontinuous solutions
    • F. Takens, “Constrained equations: A study of implicit differential equations and their discontinuous solutions,” in Springer-Verlag Lecture Notes in Math., vol. 525, 1976.
    • (1976) Springer-Verlag Lecture Notes in Math. , vol.525
    • Takens, F.1
  • 4
  • 6
    • 0019570820 scopus 로고
    • Geometric properties of dynamic nonlinear networks: Tranversality, local-solvability and eventual passivity
    • May
    • T. Matsumoto et al., “Geometric properties of dynamic nonlinear networks: Tranversality, local-solvability and eventual passivity,” IEEE Trans. Circuits Syst., vol. CAS-28, pp. 406–428, May 1981.
    • (1981) IEEE Trans. Circuits Syst. , vol.CAS-28 , pp. 406-428
    • Matsumoto, T.1
  • 7
    • 0003779190 scopus 로고
    • Differential Equations, Dynamical Systems, and Linear Algebra
    • New York: Academic Press
    • M. Hirsch and S. Smale, Differential Equations, Dynamical Systems, and Linear Algebra. New York: Academic Press, 1975.
    • (1975)
    • Hirsch, M.1    Smale, S.2
  • 10
    • 0000105072 scopus 로고
    • The order of complexity of electrical networks
    • September
    • P. R. Bryant, “The order of complexity of electrical networks” Proceedings IEEE (London), vol. 106C, September 1959, pp. 174–188.
    • (1959) Proceedings IEEE (London) , vol.106C , pp. 174-188
    • Bryant, P.R.1
  • 11
    • 0015430703 scopus 로고
    • Trajectories of nonlinear RLC networks: A geometric approach
    • Nov
    • C. A. Desoer and F. F. Wu, “Trajectories of nonlinear RLC networks: A geometric approach,” IEEE Trans. Circuit Theory, vol. CT-19, 562–571, Nov. 1972.
    • (1972) IEEE Trans. Circuit Theory , vol.CT-19 , pp. 562-571
    • Desoer, C.A.1    Wu, F.F.2
  • 12
    • 0002793492 scopus 로고
    • On the dynamics of electrical networks
    • May
    • T. Matsumoto, “On the dynamics of electrical networks,” J. Differential Equations, vol. 21, pp. 179–196, May 1976.
    • (1976) J. Differential Equations , vol.21 , pp. 179-196
    • Matsumoto, T.1
  • 13
    • 0004266935 scopus 로고
    • Connections, Curvature, and Cohomology
    • New York: Academic
    • W. Greub, S. Halperin, and R. Vanstone, Connections, Curvature, and Cohomology, vol. I, New York: Academic, 1972.
    • (1972) , vol.1
    • Greub, W.1    Halperin, S.2    Vanstone, R.3
  • 14
    • 0040170974 scopus 로고
    • On the axiomatic foundations of the theories of directed linear graphs, electrical circuits and network programming
    • G. J. Minty, “On the axiomatic foundations of the theories of directed linear graphs, electrical circuits and network programming,” J. Math. Mech., vol. 15, no. 3, 485–520, 1966.
    • (1966) J. Math. Mech. , vol.15 , Issue.3 , pp. 485-520
    • Minty, G.J.1
  • 15
    • 0019080376 scopus 로고
    • Dynamic nonlinear networks: State-of-the-art
    • Nov
    • L. O. Chua, “Dynamic nonlinear networks: State-of-the-art,” IEEE Trans. Circuits Syst., vol. CAS-27, pp. 1059–1087, Nov. 1980.
    • (1980) IEEE Trans. Circuits Syst. , vol.CAS-27 , pp. 1059-1087
    • Chua, L.O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.