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  • In this paper we introduce (strict) coupled intervals for discrete symplectic systems and characterize in terms of the nonexistence of such coupled intervals the definiteness of the associated discrete quadratic functional with variable endpoints. This (strict) coupled interval notion generalizes (i) the (strict) conjugate interval notion known for discrete variational problems with fixed right endpoint, and (ii) the (strict) coupled interval notion known for the special case of linear Hamiltonian systems. The applicability of this theory of coupled intervals is clearly illustrated by a numerical example emanating from a nonlinear discrete control problem.
  • In this paper we introduce (strict) coupled intervals for discrete symplectic systems and characterize in terms of the nonexistence of such coupled intervals the definiteness of the associated discrete quadratic functional with variable endpoints. This (strict) coupled interval notion generalizes (i) the (strict) conjugate interval notion known for discrete variational problems with fixed right endpoint, and (ii) the (strict) coupled interval notion known for the special case of linear Hamiltonian systems. The applicability of this theory of coupled intervals is clearly illustrated by a numerical example emanating from a nonlinear discrete control problem. (en)
Title
  • Coupled intervals for discrete symplectic systems
  • Coupled intervals for discrete symplectic systems (en)
skos:prefLabel
  • Coupled intervals for discrete symplectic systems
  • Coupled intervals for discrete symplectic systems (en)
skos:notation
  • RIV/00216224:14310/06:00015398!RIV10-MSM-14310___
http://linked.open...avai/riv/aktivita
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  • P(1K04001), P(GA201/04/0580), P(KJB1019407)
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  • 2-3
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  • 469944
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  • RIV/00216224:14310/06:00015398
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  • Discrete symplectic system; Quadratic functional; Nonnegativity; Positivity; Coupled interval; Conjugate interval; Conjoined basis (en)
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  • US - Spojené státy americké
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  • [4E5DCB106E01]
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  • Linear Algebra and its Applications
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  • 419
http://linked.open...iv/tvurceVysledku
  • Šimon Hilscher, Roman
  • Zeidan, Vera
http://linked.open...ain/vavai/riv/wos
  • 000242744000033
issn
  • 0024-3795
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  • 14310
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