Sensitivity to Cumulative Perturbations for a Class of Piecewise Constant Hybrid Systems
Name
P-17-AS-input-sensitivity-final.pdf
Description
Accepted version
Size
784.01 KB
Format
Adobe PDF
Checksum (MD5)
c9a74583da52a4b7833496e7dd8377bb
Author(s)
Sharifnassab, Arsalan
Golestani, S. Jamaloddin
Date Issued
June 2019
Journal
IEEE Transactions on Automatic Control
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Citation
Sharifnassab, Arsalan et al. “Sensitivity to Cumulative Perturbations for a Class of Piecewise Constant Hybrid Systems.” IEEE Transactions on Automatic Control, 66, 3 (June 2019): 1057 - 1072 © 2019 The Author(s)
Version
Author's final manuscript
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 includes 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.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1109/TAC.2019.2922495
