3 papers
math.DS2026
Chain transitivity in generalized hybrid dynamics with application to simulation and stochastic approximation of hybrid systems
Rafal K. Goebel, Andrew R. Teel
Asymptotic properties of discrete, stochastic approximations to hybrid systems, modeled as hybrid inclusions, are studied. First, the internal chain transitivity of omega-limits of…
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…