Well-defined steady-state response does not imply CICS. Ryan, E. & 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}
}
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