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 ...
Numerical integration of a piecewise function takes ages if the range of integration contains more than one region of the piecewise defined function: 3.08205246495229 CPU times: user 445 ms, sys: 0 ns ...
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 ...