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Sensitivity to Cumulative Perturbations for a Class of Piecewise Constant Hybrid Systems (1807.08139v2)

Published 21 Jul 2018 in cs.SY

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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