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Topological restrictions on sources for solvability of lumped networks

Topological restrictions on sources for solvability of lumped networks

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© The Institution of Electrical Engineers
Published

Known topological constraints on sources in linear networks for unique solvability are examined when nonlinear elements are included. It is shown that the first half of Purslow's theorem l is no longer true, whereas the second half can be established very simply with basic network concepts.

Inspec keywords: linear network analysis; network topology; lumped parameter networks

Other keywords: topological constraints; linear network analysis; lumped network; Purslow theorem

Subjects: Network topology; Lumped linear networks

References

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      • Dervisoglu, A.: `State models for active ', Report R-237, December 1964.
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      • E.J. Purslow . Solvability and analysis of linear active networks by use of the state equations. IEEE Trans. , 469 - 475
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      • J. Tow . Order of complexity of linear active networks. Proc. IEE , 1259 - 1262
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      • L.O. Chua . (1969) , Introduction to nonlinear network theory.
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      • P.R. Bryant . The explicit form of Bashkow's “A” matrix. IRE Trans. , 303 - 306
    7. 7)
      • N.R. Malik , H.W. Hale . Equations for active networks: existence of unique solutions. IEEE Trans. , 37 - 43
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