I just noticed that the textbook lacks an example relevant to this exercise group, which is a type of problem we frequently assess: Given a piecewise-defined function, we want to know if it is ...

Abstract: In this paper a class of Piecewise Quadratic Lyapunov Functions (PQLFs) for the analysis of the robust stability of linear systems subject to polytopic uncertainties is considered. These ...

Abstract: We propose a novel characterization of piecewise-defined barrier functions for certifying forward invariant sets of piecewise continuous dynamical systems. Forward invariance is established ...

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 ...