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  • In this paper we survey Reid roundabout theorems for time scale symplectic systems (S). These theorems list equivalent conditions for the positivity and nonnegativity of the quadratic functional <i>F</i> associated with (S). The Reid roundabout theorems in this paper do not impose any normality assumption. We also show that Jacobi systems for nonlinear time scale control problems naturally lead to time scale symplectic systems, and that such a system consists of the Hamiltonian equations corresponding to the weak maximum principle for the quadratic functional <i>F</i>.
  • In this paper we survey Reid roundabout theorems for time scale symplectic systems (S). These theorems list equivalent conditions for the positivity and nonnegativity of the quadratic functional <i>F</i> associated with (S). The Reid roundabout theorems in this paper do not impose any normality assumption. We also show that Jacobi systems for nonlinear time scale control problems naturally lead to time scale symplectic systems, and that such a system consists of the Hamiltonian equations corresponding to the weak maximum principle for the quadratic functional <i>F</i>. (en)
Title
  • Reid roundabout theorems for time scale symplectic systems
  • Reid roundabout theorems for time scale symplectic systems (en)
skos:prefLabel
  • Reid roundabout theorems for time scale symplectic systems
  • Reid roundabout theorems for time scale symplectic systems (en)
skos:notation
  • RIV/00216224:14310/10:00040594!RIV11-GA0-14310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/07/0145), P(KJB100190701), P(ME 891), Z(MSM0021622409)
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
  • 284551
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14310/10:00040594
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Time scale; Riccati equation; Quadratic functional; Positivity; Nonnegativity; Normality; Controllability; Conjoined basis (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [D9F05AEF109E]
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  • Lisbon
http://linked.open...i/riv/mistoVydani
  • Londýn
http://linked.open...i/riv/nazevZdroje
  • Discrete Dynamics and Difference Equations
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http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Zeidan, Vera Michel
  • Šimon Hilscher, Roman
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
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  • World Scientific Publishing Co.
https://schema.org/isbn
  • 978-981-4287-64-7
http://localhost/t...ganizacniJednotka
  • 14310
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