Details

Title

Some Contraction Methods for Locating and Finding All the DC Operating Points of Diode-Transistor Circuits

Journal title

International Journal of Electronics and Telecommunications

Yearbook

2010

Numer

No 4

Publication authors

Divisions of PAS

Nauki Techniczne

Publisher

Polish Academy of Sciences Committee of Electronics and Telecommunications

Date

2010

Identifier

ISSN 2081-8491 (until 2012) ; eISSN 2300-1933 (since 2013)

References

Chua L. (1975), Computer-aided analysis of electronic circuits, Algorithms and computational techniques. ; Nishi T. (1989), An efficient method to find all solutions of piecewise-linear resistive circuits, null, 2052. ; Vandenberghe L. (1989), The generalized linear complementarity problem applied to the complete analysis of resistive piecewise-linear circuits, IEEE Transactions on Circuits and Systems, 36, 1382. ; Kolev L. (1990), An interval method for finding all operating points of non-linear resistive circuits, International Journal of Circuit Theory and Applications, 18, 257. ; Tadeusiewicz M. (1990), A method for finding bounds on the location of all the solutions of DC piecewise-linear circuits, International Journal of Circuit Theory and Applications, 18, 165. ; Tadeusiewicz M. (1992), A method for finding bounds on all the DC solutions of transistor circuits, IEEE Transactions on Circuits and Systems, 39, 557. ; Pastore S. (1993), Polyhedral elements: A new algorithm for capturing all the equilibrium points of piecewise-linear circuits, IEEE Transactions on Circuits and Systems, 40, 124. ; Tadeusiewicz M. (1994), A contraction algorithm for finding all the DC solutions of piecewise-linear circuits, Journal of Circuits, Systems and Computers, 4, 319. ; Pastore S. (1997), Finding all DC solutions of nonlinear resistive circuits by exploring both polyhedral and rectangular circuits, IEE: Proceedings, Circuits, Devices and Systems, 144, 9, 17. ; Tadeusiewicz M. (1997), DC analysis of circuits with idealized diodes considering reverse bias breakdown phenomenon, IEEE Transactions on Circuits and Systems, 44, 312. ; Yamamura K. (2008), An efficient algorithm for finding all DC solutions of piecewise-linear circuits, International Journal of Circuit Theory and Applications, 36, 989. ; Tadeusiewicz M. (2006), A method for the analysis of transistor circuits having multiple DC solutions, International Journal of Electronics and Communications, 60, 8, 582. ; Fernandez V. (2008), Finding all the operating points in piecewise-linear electrical networks: an iterativedecomposed approach, null, 304. ; Pastore S. (2009), Fast and efficient search for all DC solutions of PWL circuits by means of oversized polyhedra, IEEE Transactions on Circuits and Systems, 2270, doi.org/10.1109/TCSI.2008.2012233 ; Ushida A. (2002), An efficient algorithm for finding multiple DC solutions based on the SPICE-oriented Newton homotopy method, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 21, 337. ; Kolev L. (2000), An interval method for global nonlinear analysis, IEEE Transactions on Circuits and Systems, 47, 675. ; Reibiger A. (2003), Mathematical foundations of the TC-method for computing multiple DC-operating points, International Journal of Applied Electromagnetics and Mechanics, 17, 169. ; Yamamura K. (2004), An interval algorithm for finding all solutions of non-linear resistive circuits, International Journal of Circuit Theory and Applications, 32, 47. ; Goldgeisser L. (2005), A method for automatically finding multiple operating points in nonlinear circuits, IEEE Transactions on Circuits and Systems, 52, 776. ; Tadeusiewicz M. (2006), Finding all the DC solutions in circuits containing bipolar transistors, null, 361. ; Gajani G. (2008), Numerical determination of possible multiple DC solutions of nonlinear circuits, IEEE Transactions on Circuits and Systems, 55, 1074. ; Tadeusiewicz M. (2009), Finding all the DC solutions of circuits containing diodes and bipolar transistors, Elektronika, 12, 39. ; Tadeusiewicz M. (2009), Improved algorithm for computing all the DC operating points of diode-transistor circuits, null, 489. ; Householder A. (1965), The theory of matrices in numerical analysis. ; Sandberg I. (1969), Some theorems on properties of DC equations of nonlinear networks, Bell System Technical Journal, 48, 1, doi.org/10.1002/j.1538-7305.1969.tb01104.x ; Collatz L. (1966), The numerical treatment of differential equations.

DOI

10.2478/v10177-010-0043-y

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