Comparison results for solutions of time scale matrix Riccati equations and inequalities

• Authors: HILSCHER Roman
• Year of publication: 2006
• Type: Article in Periodical
• Magazine / Source: The Australian Journal of Mathematical Analysis and Applications
• MU Faculty or unit: Faculty of Science
• Field: General mathematics
• Keywords: Time scale; Time scale symplectic system; Linear Hamiltonian system; Matrix Riccati equation; Riccati inequality; Conjoined basis
• Description: 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^-1. We also discuss properties of a unitary matrix solution \hat Q=(U+iX)(U-iX)^-1 of a certain associated Riccati equation.

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