%0 Journal Article
%T Mixed  Performance Analysis and State-Feedback Control Design for Networked Systems with Fading Communication Channels
%A Adrian-Mihail Stoica
%J Mathematical Problems in Engineering
%D 2012
%I Hindawi Publishing Corporation
%R 10.1155/2012/291714
%X The purpose of the present paper is to provide a performance analysis approach of networked systems with fading communication channels. For a Ricean model of the fading communication channel, it is shown that the resulting system has a hybrid structure including the continuous-time dynamics of the networked systems and a discrete-time dynamics of the communication channels. Moreover, this resulting hybrid system has both multiplicative and additive noise terms. The performance analysis naturally leads to an 2/¡Þ-type norm evaluation for systems with finite jumps and multiplicative noise. It is proved that this norm depends on the stabilizing solution of a specific system of coupled Riccati's equations with jumps. A state-feedback design problem to accomplish a mixed 2/¡Þ performance is also considered. A numerical iterative procedure allowing to compute the stabilizing solution of the Riccati-type system with jumps is presented. The theoretical results are illustrated by numerical results concerning the tracking performances of a flight formation with fading communication channel. The paper ends with some concluding remarks.
%U http://www.hindawi.com/journals/mpe/2012/291714/