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

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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
Citation
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.
Related projects:	Optimality conditions on time scales Difference Equations and Dynamic Equations on Time Scales. Linear Hamiltonian dynamic systems and half-linear dynamic equations