Behavior of responses of monotone and sign-definite systems. Angeli, D. & Sontag, E. In H�per, K. & Trumpf, J., editors, Mathematical System Theory - Festschrift in Honor of Uwe Helmke on the Occasion of his Sixtieth Birthday, pages 51-64. CreateSpace, 2013.
abstract   bibtex   
This paper study systems with sign-definite interactions between variables, providing a sufficient condition to characterize the possible transitions between intervals of increasing and decreasing behavior. It also provides a discussion illustrating how our approach can help identify interactions in models, using information from time series of observations.
@INCOLLECTION{angeli_sontag_helmke_volume_2012,
   AUTHOR       = {D. Angeli and E.D. Sontag},
   BOOKTITLE    = {Mathematical System Theory - Festschrift in Honor of Uwe Helmke on the Occasion of his Sixtieth Birthday},
   PUBLISHER    = {CreateSpace},
   TITLE        = {Behavior of responses of monotone and sign-definite 
      systems},
   YEAR         = {2013},
   OPTADDRESS   = {},
   OPTCHAPTER   = {},
   OPTCROSSREF  = {},
   OPTEDITION   = {},
   EDITOR       = {K. H�per and Jochen Trumpf},
   OPTMONTH     = {},
   OPTNOTE      = {},
   OPTNUMBER    = {},
   PAGES        = {51-64},
   OPTSERIES    = {},
   OPTTYPE      = {},
   OPTVOLUME    = {},
   KEYWORDS     = {monotone systems, reverse engineering, systems biology},
   PDF          = {../../FTPDIR/angeli_sontag_helmke_volume_2013_reprint.pdf},
   ABSTRACT     = {This paper study systems with sign-definite interactions 
      between variables, providing a sufficient condition to characterize 
      the possible transitions between intervals of increasing and 
      decreasing behavior. It also provides a discussion illustrating how 
      our approach can help identify interactions in models, using 
      information from time series of observations.}
}

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