HILSCHER, Roman. Comparison results for solutions of time scale matrix Riccati equations and inequalities. The Australian Journal of Mathematical Analysis and Applications. Victoria, Austrálie: Australian Internet Publishing, 2006, vol. 3, No 2, p. Article 13, 1-15, 15 pp. ISSN 1449-5910. |
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@article{704040, author = {Hilscher, Roman}, article_location = {Victoria, Austrálie}, article_number = {2}, keywords = {Time scale; Time scale symplectic system; Linear Hamiltonian system; Matrix Riccati equation; Riccati inequality; Conjoined basis}, language = {eng}, issn = {1449-5910}, journal = {The Australian Journal of Mathematical Analysis and Applications}, title = {Comparison results for solutions of time scale matrix Riccati equations and inequalities}, volume = {3}, year = {2006} }
TY - JOUR ID - 704040 AU - Hilscher, Roman PY - 2006 TI - Comparison results for solutions of time scale matrix Riccati equations and inequalities JF - The Australian Journal of Mathematical Analysis and Applications VL - 3 IS - 2 SP - Article 13, 1-15 EP - Article 13, 1-15 PB - Australian Internet Publishing SN - 14495910 KW - Time scale KW - Time scale symplectic system KW - Linear Hamiltonian system KW - Matrix Riccati equation KW - Riccati inequality KW - Conjoined basis N2 - 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. ER -
HILSCHER, Roman. Comparison results for solutions of time scale matrix Riccati equations and inequalities. \textit{The Australian Journal of Mathematical Analysis and Applications}. Victoria, Austrálie: Australian Internet Publishing, 2006, vol.~3, No~2, p.~Article 13, 1-15, 15 pp. ISSN~1449-5910.
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