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Tracking control in billiards using mirrors without smoke, Part II: Additional Lyapunov-based local and global results

Forni, F and Teel, AR and Zaccarian, L (2011) Tracking control in billiards using mirrors without smoke, Part II: Additional Lyapunov-based local and global results. In: UNSPECIFIED pp. 3289-3294..

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Abstract

Two control results are described: 1) local tracking control for convex billiards with piecewise locally Lipschitz boundary, and 2) global tracking control for special polyhedral billiards, including rectangles and equilateral triangles. The controllers are based on Lyapunov functions and a mirroring concept introduced in a companion paper. The local results require the impacts to satisfy an average dwell-time condition with parameters that depend on the Lipschitz constant of the function that characterizes the boundary. For piecewise constant boundary, and for the global results, the average dwell-time parameters are arbitrary. Tools from stability analysis for hybrid systems are used to establish the results. © 2011 IEEE.

Item Type: Conference or Workshop Item (UNSPECIFIED)
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 17 Jul 2017 19:29
Last Modified: 21 Sep 2017 01:37
DOI: