Sensitivity to Cumulative Perturbations for a Class of Piecewise Constant Hybrid Systems
Systems and Control
2018-12-24 v2
Abstract
We consider a class of continuous-time hybrid dynamical systems that correspond to subgradient flows of a piecewise linear and convex potential function with finitely many pieces, and which include the fluid-level dynamics of the Max-Weight scheduling policy as a special case. We study the effect of an external disturbance/perturbation on the state trajectory, and establish that the magnitude of this effect can be bounded by a constant multiple of the integral of the perturbation.
Keywords
Cite
@article{arxiv.1807.08139,
title = {Sensitivity to Cumulative Perturbations for a Class of Piecewise Constant Hybrid Systems},
author = {Arsalan Sharifnassab and John N. Tsitsiklis and Jamaloddin Golestani},
journal= {arXiv preprint arXiv:1807.08139},
year = {2018}
}