A prototype piecewise-linear dynamic attenuator

Piecewise Linear Dynamic Programs with Applications

PIECEWISE LINEAR DYNAMIC PROGRAMS WITH APPLICATIONS Katsushige Sawaki Nanzan University (Received May 22, 1978; Revised May 11, 1979) This paper considers a special class of dynamic programs which satisfies the monotone and contraction assumptions. This class of dynamic programs is charaC1:erized by the piecewise linearity that the cost function is piecewise linear whenever the terminal cost fu...

Piecewise Linear Dynamic Programming for Constrained POMDPs

We describe an exact dynamic programming update for constrained partially observable Markov decision processes (CPOMDPs). State-of-the-art exact solution of unconstrained POMDPs relies on implicit enumeration of the vectors in the piecewise linear value function, and pruning operations to obtain a minimal representation of the updated value function. In dynamic programming for CPOMDPs, each vec...

Dynamic Computational Topology for Piecewise Linear Curves

A piecewise linear (PL) approximation often serves as the graphics representation for a parametric curve. Algorithms for preserving correct topology for a single static image are available, but significant challenges remain to ensure correct topology when the PL curve is changing shape during synchronized visualization with an ongoing simulation, such as a molecule writhing over time. A tubular...

Piecewise Constant Controlled Linear Fuzzy Systems

On the Dynamic Analysis of Piecewise Linear Networks

Piecewise linear (PL) modelling is often used to approximate the behavior of nonlinear circuits. One of the possible PL modelling methodologies is based on the linear complementarity problem, and this approach has already been used extensively in the circuits and systems community for static networks. In this paper the object of study will be dynamic electrical circuits that can be recast as li...