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arXiv · 1807.08139

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

Arsalan Sharifnassab·John N. Tsitsiklis·Jamaloddin Golestani
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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.

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Arsalan Sharifnassab, John N. Tsitsiklis, Jamaloddin Golestani. 2018-07-21. Sensitivity to Cumulative Perturbations for a Class of Piecewise Constant Hybrid Systems. https://arxiv.org/abs/1807.08139

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