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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… Click to show full 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.
Keywords:
class piecewise;
piecewise constant;
cumulative perturbations;
sensitivity cumulative;
class;
perturbations class
Journal Title: IEEE Transactions on Automatic Control
Year Published: 2020
Link to full text (if available)
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Journal Title: IEEE Transactions on Automatic Control
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!