Well-defined steady-state response does not imply CICS. Ryan, E. and Sontag, E. Systems and Control Letters, 55:707-710, 2006.
doi  abstract   bibtex   
Systems for which each constant input gives rise to a unique globally attracting equilibrium are considered. A counterexample is provided to show that inputs which are only asymptotically constant may not result in states converging to equilibria (failure of the converging-input converging state, or ``CICS'' property).
@ARTICLE{ryan05,
   AUTHOR       = {E.P. Ryan and E.D. Sontag},
   JOURNAL      = {Systems and Control Letters},
   TITLE        = {Well-defined steady-state response does not imply CICS},
   YEAR         = {2006},
   OPTMONTH     = {},
   OPTNOTE      = {},
   OPTNUMBER    = {},
   PAGES        = {707-710},
   VOLUME       = {55},
   KEYWORDS     = {nonlinear stability, dynamical systems},
   PDF          = {../../FTPDIR/ryan-sontag-SCL06.pdf},
   ABSTRACT     = { Systems for which each constant input gives rise to a 
      unique globally attracting equilibrium are considered. A 
      counterexample is provided to show that inputs which are only 
      asymptotically constant may not result in states converging to 
      equilibria (failure of the converging-input converging state, or 
      ``CICS'' property). },
   DOI          = {10.1016/j.sysconle.2006.02.001}
}
Downloads: 0