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Recently, passivity-based techniques to control the transmit power of mobile nodes have been proposed to ensure the finite gain stability of a class of cellular CDMA networks. These techniques implement the Zames-Falb multipliers at the mobile node and at the base stations. The finite gain stability of such a cellular network follows as a consequence of the fact that the Zames-Falb multipliers preserve positivity of monotone memoryless nonlinearities. In this paper, the authors show that such a cellular network may not be a continuous system.
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