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21st IEEE International Conference on Distributed Computing Systems (ICDCS'01)
An Exercise in Proving Self-Stabilization through Ljapunov Functions
Mesa, AZ
April 16-April 19
ISBN: 0-7695-1077-9
Oliver Theel, Darmstadt University of Technology
Abstract: Self-Stabilizing distributed algorithms exhibit interesting analogies with stabilizing feedback systems used in various engineering domains. In this paper we show by Dijkstra's famous token ring algorithm for mutual exclusion serving as an example that methodologies from control theory, namely Ljapunov's "Second Method," can be used to more easily and systematically prove the self-stabilization property of distributed algorithms.
Citation:
Oliver Theel, "An Exercise in Proving Self-Stabilization through Ljapunov Functions," icdcs, pp.0727, 21st IEEE International Conference on Distributed Computing Systems (ICDCS'01), 2001
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