@ARTICLE{MR1395830,
   AUTHOR       = {W. Liu and Y. Chitour and E.D. Sontag},
   JOURNAL      = {SIAM J. Control Optim.},
   TITLE        = {On finite-gain stabilizability of linear systems subject 
      to input saturation},
   YEAR         = {1996},
   OPTMONTH     = {},
   OPTNOTE      = {},
   NUMBER       = {4},
   PAGES        = {1190--1219},
   VOLUME       = {34},
   ADDRESS      = {Philadelphia, PA, USA},
   KEYWORDS     = {saturation},
   PUBLISHER    = {Society for Industrial and Applied Mathematics},
   PDF          = {../../FTPDIR/saturated_gains_liu_chitour_sontag_reprint_siam1996.pdf},
   ABSTRACT     = { This paper deals with (global) finite-gain input/output 
      stabilization of linear systems with saturated controls. For 
      neutrally stable systems, it is shown that the linear feedback law 
      suggested by the passivity approach indeed provides stability, with 
      respect to every Lp-norm. Explicit bounds on closed-loop gains are 
      obtained, and they are related to the norms for the respective 
      systems without saturation. These results do not extend to the class 
      of systems for which the state matrix has eigenvalues on the 
      imaginary axis with nonsimple (size >1) Jordan blocks, contradicting 
      what may be expected from the fact that such systems are globally 
      asymptotically stabilizable in the state-space sense; this is shown 
      in particular for the double integrator. },
   DOI          = {http://dx.doi.org/10.1137/S0363012994263469}
}

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