2 papers
math.DS2020
Piecewise structure of Lyapunov functions and densely checked decrease conditions for hybrid systems
Matteo Della Rossa, Rafal Goebel, Aneel Tanwani +1
We propose a class of locally Lipschitz functions with piecewise structure for use as Lyapunov functions for hybrid dynamical systems. Subject to some regularity of the dynamics, w…
math.OC2018
A unifying convex analysis and switching system approach to consensus with undirected communication graphs
Rafal Goebel, Ricardo Sanfelice
Switching between finitely many continuous-time autonomous steepest descent dynamics for convex functions is considered. Convergence of complete solutions to common minimizers of t…