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  • This paper focuses on developing new Riccati-type conditions for an abnormal time scale symplectic system (S). These conditions provide characterizations of the nonnegativity (with and without a certain ``image condition'') and positivity of the quadratic functionals associated with such a system. The novelty of these conditions rely on the natural conjoined basis (<i>X<sub>a</sub>,U<sub>a</sub></i>) of (S) in which <i>X<sub>a</sub></i>(<i>t</i>) is not necessarily invertible, and thus the system (S) could be abnormal. These results are new even in the special case of continuous time, as are some of them in the discrete time setting.
  • This paper focuses on developing new Riccati-type conditions for an abnormal time scale symplectic system (S). These conditions provide characterizations of the nonnegativity (with and without a certain ``image condition'') and positivity of the quadratic functionals associated with such a system. The novelty of these conditions rely on the natural conjoined basis (<i>X<sub>a</sub>,U<sub>a</sub></i>) of (S) in which <i>X<sub>a</sub></i>(<i>t</i>) is not necessarily invertible, and thus the system (S) could be abnormal. These results are new even in the special case of continuous time, as are some of them in the discrete time setting. (en)
Title
  • Riccati equations for abnormal time scale quadratic functionals
  • Riccati equations for abnormal time scale quadratic functionals (en)
skos:prefLabel
  • Riccati equations for abnormal time scale quadratic functionals
  • Riccati equations for abnormal time scale quadratic functionals (en)
skos:notation
  • RIV/00216224:14310/08:00024157!RIV10-MSM-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...iv/cisloPeriodika
  • 6
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
  • 392814
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14310/08:00024157
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...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [2843A2FBE166]
http://linked.open...i/riv/nazevZdroje
  • Journal of Differential Equations
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...v/svazekPeriodika
  • 244
http://linked.open...iv/tvurceVysledku
  • Zeidan, Vera Michel
  • Šimon Hilscher, Roman
http://linked.open...ain/vavai/riv/wos
  • 000255005700006
http://linked.open...n/vavai/riv/zamer
issn
  • 0022-0396
number of pages
http://localhost/t...ganizacniJednotka
  • 14310
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