State feedback control of linear systems in the presence of devices with finite signal-to-noise ratio Academic Article uri icon


  • This paper provides necessary and sufficient conditions for mean-square state-feedback stabilization of linear systems whose white noise sources have intensities affinely related to the variance of the signal they corrupt. Systems with such noise sources have been called FSN (finite signal-to-noise) models, and the stability results provided in prior work were only sufficient conditions. Upper bounded L2performance is also guaranteed herein by solving a control problem which is non-convex only due to a certain scaling parameter. By fixing this parameter convex programming algorithms provide controllers.

published proceedings

  • International Journal of Control

author list (cited authors)

  • De Oliveira, M. C., & Skelton, R. E.

citation count

  • 12

complete list of authors

  • De Oliveira, MC||Skelton, RE

publication date

  • January 2001