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In this paper, the authors carry out a stability analysis of a previously introduced market-oriented cloud computing model. They introduce a necessary condition for the asymptotic stability of the system, and provide a mathematical proposition that enables the use of passivity for the analysis of stability in this model. Moreover, they prove that the system is Input-to-State Stable and verify their theoretical results through simulations. In the last few years, control theory has had a productive but still limited relationship with computing theory and systems.
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