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  • This paper formulates the problems of stabilization and asymptotic following in infinite platoons of vehicles within the 2-D polynomial framework, that is, the dynamics of the problem are described using a fraction of two bivariate polynomials. In contrast to some previous works, the platoon here assumes a leader (and an infinite number of followers), therefore the often used bilateral z-transform should not be used here since it assumes a doubly infinite vehicular strings. The unilateral z-transform seems better suited. However, it brings about the need to take the boundary conditions into consideration; among other, the leader vehicle comes into the scene. The necessary formalism is introduced in the paper and used to provide elegant alternative proofs of some well-known facts about the platooning problem.
  • This paper formulates the problems of stabilization and asymptotic following in infinite platoons of vehicles within the 2-D polynomial framework, that is, the dynamics of the problem are described using a fraction of two bivariate polynomials. In contrast to some previous works, the platoon here assumes a leader (and an infinite number of followers), therefore the often used bilateral z-transform should not be used here since it assumes a doubly infinite vehicular strings. The unilateral z-transform seems better suited. However, it brings about the need to take the boundary conditions into consideration; among other, the leader vehicle comes into the scene. The necessary formalism is introduced in the paper and used to provide elegant alternative proofs of some well-known facts about the platooning problem. (en)
Title
  • 2-D polynomial approach to control of leader following vehicular platoons
  • 2-D polynomial approach to control of leader following vehicular platoons (en)
skos:prefLabel
  • 2-D polynomial approach to control of leader following vehicular platoons
  • 2-D polynomial approach to control of leader following vehicular platoons (en)
skos:notation
  • RIV/68407700:21230/11:00182444!RIV12-MSM-21230___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA102/08/0186), P(ME10010)
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
  • 243994
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21230/11:00182444
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Automated guided vehicles; multidimensional systems; multivariable polynomials; matrix polynomial equations; polynomial methods (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [D9F758EACDDE]
http://linked.open...v/mistoKonaniAkce
  • Milano
http://linked.open...i/riv/mistoVydani
  • Bologna
http://linked.open...i/riv/nazevZdroje
  • Proceedings of the 18th IFAC World Congress, 2011
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Hurák, Zdeněk
  • Šebek, Michael
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
number of pages
http://purl.org/ne...btex#hasPublisher
  • IFAC
https://schema.org/isbn
  • 978-3-902661-93-7
http://localhost/t...ganizacniJednotka
  • 21230
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