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  • In this paper we derive comparison results for Hermitian solutions of time scale matrix Riccati equations and Riccati inequalities. Such solutions arise from special conjoined bases (X,U) of the corresponding time scale symplectic system via the Riccati quotient Q=UX<sup>-1</sup>. We also discuss properties of a unitary matrix solution \hat Q=(U+iX)(U-iX)<sup>-1</sup> of a certain associated Riccati equation.
  • In this paper we derive comparison results for Hermitian solutions of time scale matrix Riccati equations and Riccati inequalities. Such solutions arise from special conjoined bases (X,U) of the corresponding time scale symplectic system via the Riccati quotient Q=UX<sup>-1</sup>. We also discuss properties of a unitary matrix solution \hat Q=(U+iX)(U-iX)<sup>-1</sup> of a certain associated Riccati equation. (en)
Title
  • Comparison results for solutions of time scale matrix Riccati equations and inequalities
  • Comparison results for solutions of time scale matrix Riccati equations and inequalities (en)
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  • Comparison results for solutions of time scale matrix Riccati equations and inequalities
  • Comparison results for solutions of time scale matrix Riccati equations and inequalities (en)
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  • RIV/00216224:14310/06:00015472!RIV10-MSM-14310___
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  • P(1K04001), P(GA201/04/0580), P(KJB1019407)
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  • 2
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  • 469345
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  • RIV/00216224:14310/06:00015472
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  • Time scale; Time scale symplectic system; Linear Hamiltonian system; Matrix Riccati equation; Riccati inequality; Conjoined basis (en)
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  • AU - Australské společenství
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  • [B4863FB26A15]
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  • The Australian Journal of Mathematical Analysis and Applications
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  • 3
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  • Šimon Hilscher, Roman
issn
  • 1449-5910
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  • 14310
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