Abstract: Continuous piecewise affine (PWA) functions arise in many aspects of control. For this kind of function, we propose the minimal conjunctive normal expression (CNE). The CNE can be expressed ...

Abstract: Inspired by the idea of multiple Lyapunov functions (MLFs), we use piecewise continuous scalar functions to investigate the stabilizability of time-varying switched systems. Starting with ...

Relations and functions form the bedrock of mathematics, providing the tools to describe and analyze connections between quantities. Homework 4 likely delves into the intricacies of these concepts, ...

Graphing a piecewise defined function might seem daunting at first, but breaking down the process into manageable steps can make it significantly easier. A piecewise function, as the name suggests, is ...

Generally, a piecewise function can take values of any type as an input and return numbers of any type as an output. However, in its current implementation numpy.piecewise forces the output type to be ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...