A Canonical Piecewise-Linear Representation Theorem: Geometrical Structures Determine Representation Capability
IEEE Trans. on Circuits and Systems（2011）
摘要
This brief proposes a general piecewise-linear (GPWL) representation theorem based on geometrical structure analysis of continuous PWL functions. A constructive algorithm is developed to represent a continuous PWL function with the weighted sum of GPWL basis functions. The GPWL basis functions are defined over a domain partition with pairwise directly adjacent regions. The GPWL representation theorem unifies many known PWL models into a common theoretical framework. The GPWL representation is promising to find applications in nonlinear circuit synthesis, dynamic system identification, and control.
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关键词
network synthesis,nonlinear circuit synthesis,continuous pwl function,system identification,general pwl (gpwl) basis function,piecewise-linear (pwl) techniques,representation capability,function approximation,geometrical structure,canonical piecewise-linear representation theorem,gpwl representation theorem,canonical pwl (cpwl) representation,dynamic system identification,piecewise linear techniques,dynamic system,algorithm design,approximation algorithms,algorithm design and analysis,integrated circuit,piecewise linear,circuit theory
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