Necessary and sufficient conditions for mean square stabilization over MIMO SNR-constrained channels

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)22_Publication in policy or professional journal

19 Scopus Citations
View graph of relations


  • Francisco J. Vargas
  • Jie Chen
  • Eduardo I. Silva

Related Research Unit(s)


Original languageEnglish
Article number6425963
Pages (from-to)26-31
Journal / PublicationProceedings of the IEEE Conference on Decision and Control
Publication statusPublished - 2012


Title51st IEEE Conference on Decision and Control, CDC 2012
PlaceUnited States
CityMaui, HI
Period10 - 13 December 2012


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. © 2012 IEEE.