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.
Published in:
Circuits and Systems II: Express Briefs, IEEE Transactions on
(Volume:58
,
Issue:
12
)
Date of Publication: Dec. 2011