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Solvability of network with nonlinear resistors

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3 Author(s)
Nakajima, H. ; Fac. of Eng., Utsunomiya Univ. ; Miyoshi, T. ; Inaba, N.

In the present study, we analyze the solvability of networks which comprise multi-terminal nonlinear resistor elements, electric sources and a linear LCR circuit. The condition for unique time evolution of the network irrespective of the initial state is obtained in terms of connectivity with respect to specific elements of the linear LCR circuit. Nonlinear resistor elements have N (N⩾2) terminals. The terminal currents are given by single-valued functions of the terminal voltages in case of voltage-controlled nonlinear resistors. The terminal voltages are given by single-valued functions of the terminal currents in case of current controlled ones

Published in:
Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on  (Volume:3 )

Date of Conference: 6-9 May 2001

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