About: Exponential Transients in Continuous-Time Liapunov Systems.     Goto   Sponge   NotDistinct   Permalink

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  • We consider the convergence behavior of a class of continuous-time dynamical systems corresponding to so called symmetric Hopfield nets studied in neural networks theory. We prove that such systems may have transient times that are exponential in the system dimension (i.e. number of 'neurons'), despite the fact that their dynamics are controlled by Liapunov functions. This result stands in contrast to many proposed uses of such systems in e.g. combinatorial optimization applications, in which it is often...
  • We consider the convergence behavior of a class of continuous-time dynamical systems corresponding to so called symmetric Hopfield nets studied in neural networks theory. We prove that such systems may have transient times that are exponential in the system dimension (i.e. number of 'neurons'), despite the fact that their dynamics are controlled by Liapunov functions. This result stands in contrast to many proposed uses of such systems in e.g. combinatorial optimization applications, in which it is often... (en)
Title
  • Exponential Transients in Continuous-Time Liapunov Systems.
  • Exponential Transients in Continuous-Time Liapunov Systems. (en)
skos:prefLabel
  • Exponential Transients in Continuous-Time Liapunov Systems.
  • Exponential Transients in Continuous-Time Liapunov Systems. (en)
skos:notation
  • RIV/67985807:_____/03:06030011!RIV/2004/GA0/A06004/N
http://linked.open.../vavai/riv/strany
  • 353;372
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/00/1489), P(GA201/01/1192), P(IAB2030007), Z(AV0Z1030915)
http://linked.open...iv/cisloPeriodika
  • N/A
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 606889
http://linked.open...ai/riv/idVysledku
  • RIV/67985807:_____/03:06030011
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • dynamical systems; continuous time; Hopfield network; Liapunov function; convergence time (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [117B94B80812]
http://linked.open...i/riv/nazevZdroje
  • Theoretical Computer Science
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...ocetUcastnikuAkce
http://linked.open...nichUcastnikuAkce
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 306
http://linked.open...iv/tvurceVysledku
  • Šíma, Jiří
  • Orponen, P.
http://linked.open...n/vavai/riv/zamer
issn
  • 0304-3975
number of pages
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