Sensitivity to Cumulative Perturbations for a Class of Piecewise Constant Hybrid Systems

Sensitivity to Cumulative Perturbations for a Class of Piecewise Constant Hybrid Systems

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 o...

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Bibliographic Details
Main Authors: Sharifnassab, Arsalan (Author), Golestani, S. Jamaloddin (Author)
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science (Contributor)
Format: Article
Language:English
Published: Institute of Electrical and Electronics Engineers (IEEE), 2021-04-05T18:36:01Z.
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Summary: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.

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