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Polyhedral Elements: a New Approach for Capturing All the Equilibrium Points of Piecewise-Linear Circuits

PASTORE, STEFANO
•
PREMOLI A. .
1993
  • journal article

Periodico
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I. FUNDAMENTAL THEORY AND APPLICATIONS
Abstract
An entirely new algorithm to find all the equilibrium points of piecewise-linear (PWL) circuits is presented. To this aim, the new class of the so-called polyhedral circuits, associated to the PWL ones, are defined by replacing the PWL elements with the polyhedral elements. The algorithm is structured as a genealogical tree, whose nodes represent specific polyhedral circuits. All the equilibrium points of the original PWL circuit can be captured by the analysis of these nodes. This analysis requires the solution of the Phase I of Linear Programming (LP) problems, one problem for each node. An example shows the capabilities of this algorithm.
Archivio
http://hdl.handle.net/11368/1699325
Diritti
metadata only access
Soggetti
  • DC circuit analysis

  • PWL circuits.

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