Paper Info
Title
Necessary and sufficient conditions for mean square stabilization over MIMO SNR-constrained channels
Abstract
This paper studies mean square stabilization of MIMO discrete-time linear time-invariant systems over a parallel MIMO additive white noise (AWN) channel. Such channel consists of multiple independent SISO AWN channels subject to independent input power constraints. We derive dynamic output feedback stabilization conditions subject to such constraints, for minimum phase plants that have relative degree one. Consequently, these conditions are also valid for general plants provided that state feedback is employed. Our results show that necessary and sufficient condition for stabilization can be determined by studying the feasibility of a constrained algebraic Riccati equation. These results are also extended to stabilization problems subject to channel capacity constraints.
Year
DOI
Venue
2012
10.1109/CDC.2012.6425963
Decision and Control
Keywords
Field
DocType
AWGN channels,MIMO communication,MIMO systems,Riccati equations,channel capacity,discrete time systems,linear systems,stability,state feedback,AWN channel,MIMO,SISO,SNR,additive white noise channel,channel capacity constraint,constrained algebraic Riccati equation,discrete time system,dynamic output feedback stabilization,linear time-invariant system,mean square stabilization,necessary and sufficient condition,power constraint,state feedback
Mean square,Linear system,Control theory,Communication channel,MIMO,White noise,Algebraic Riccati equation,Channel capacity,Minimum phase,Mathematics
Conference
ISSN
ISBN
Citations 
0743-1546 E-ISBN : 978-1-4673-2064-1
978-1-4673-2064-1
5
PageRank 
References 
Authors
0.43
9
3
Name
Order
Citations
PageRank
Francisco J. Vargas1184.15
Jie Chen2647124.78
Eduardo I. Silva319717.48