Loss of Continuity in Cellular Networks Under Stabilizing Transmit Power Control

Date Added: Nov 2009
Format: PDF

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.