The Theory of Mathematical Control and it’s Application in Power Systems Wireless

Abstract

Abstract The mathematical theory of control is very essential in engineering and networks. We consider some application of this theory to power control in time varying wireless networks and also the application to power delayed control system in wireless networks, where the users of the network are in relative motion. We showed that in this case if the solution of the power of the system exists, the solution is uniformly asymptotically stable. It is also showed that the stability is global.