101. Sensitivity to Cumulative Perturbations for a Class of Piecewise Constant Hybrid Systems
- Author
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S. Jamaloddin Golestani, Arsalan Sharifnassab, John N. Tsitsiklis, and Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
- Subjects
0209 industrial biotechnology ,Dynamical systems theory ,Systems and Control (eess.SY) ,02 engineering and technology ,Integral equation ,Computer Science Applications ,Piecewise linear function ,020901 industrial engineering & automation ,Control and Systems Engineering ,Bounded function ,Hybrid system ,FOS: Electrical engineering, electronic engineering, information engineering ,Piecewise ,Computer Science - Systems and Control ,Applied mathematics ,Electrical and Electronic Engineering ,Convex function ,Subgradient method ,Mathematics - 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.
- Published
- 2020
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