Abstract: This paper deals with piecewise-affine functions as Lyapunov function candidates for stability analysis of time-invariant discrete-time linear systems with saturating closed-loop control ...

Piecewise Linear Functions (PWLs) can be used to approximate any 1D function. PWLs are built with a configurable number of line segments - the more segments the more accurate the approximation. This ...

Abstract: It is well known that wavelets provide good non-linear approximation of one-dimensional (1-D) piecewise smooth functions. However, it has been shown that the use of a basis with good ...

This repository provides a python implementation of our piecewise linear regression algorithm both with CPU and GPU. The experiments that are shown in our paper are run with MATLAB which is a slower ...

This is a preview. Log in through your library . Abstract We define two functions f and g on the unit interval [0, 1] to be strongly conjugate $\operatorname{iff}$ there is an order-preserving ...

We have designed an adaptive essentially nonoscillatory (ENO)-wavelet transform for approximating discontinuous functions without oscillations near the discontinuities. Our approach is to apply the ...