Publication details

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

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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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