ŠIMON HILSCHER, Roman. Asymptotic properties of solutions of Riccati matrix equations and inequalities for discrete symplectic systems. Electronic Journal of Qualitative Theory of Differential Equations. Szeged: Electronic Journal of Qualitative Theory of Differential Equations, Bolyai Institute, University of Szeged, 2015, vol. 54, No 54, p. "nestrankovano", 16 pp. ISSN 1417-3875.
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Basic information
Original name Asymptotic properties of solutions of Riccati matrix equations and inequalities for discrete symplectic systems
Name in Czech Asymptotické vlastnosti řešení Riccatiho maticových rovnic a nerovnic pro diskrétní symplektické systémy
Authors ŠIMON HILSCHER, Roman (203 Czech Republic, guarantor, belonging to the institution).
Edition Electronic Journal of Qualitative Theory of Differential Equations, Szeged, Electronic Journal of Qualitative Theory of Differential Equations, Bolyai Institute, University of Szeged, 2015, 1417-3875.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Hungary
Confidentiality degree is not subject to a state or trade secret
Impact factor Impact factor: 0.732
RIV identification code RIV/00216224:14310/15:00083551
Organization unit Faculty of Science
UT WoS 000365261100001
Keywords (in Czech) symplektický systém; Riccatiho maticová rovnice; Riccatiho maticová nerovnice; recesivní řešení; minimální řešení; neoscilace
Keywords in English Symplectic system; Riccati matrix equation; Riccati matrix inequality; Recessive solution; Distinguished solution; Nonoscillation
Tags AKR, rivok
Tags International impact, Reviewed
Changed by Changed by: Ing. Andrea Mikešková, učo 137293. Changed: 28/4/2016 14:42.
Abstract
In this paper we study the asymptotic properties of the distinguished solutions of Riccati matrix equations and inequalities for discrete symplectic systems. In particular, we generalize the inequalities known for symmetric solutions of Riccati matrix equations to Riccati matrix inequalities. We also justify the definition and properties of the distinguished solution and the recessive solution at minus infinity by relating them to their counterparts at plus infinity.
Abstract (in Czech)
V tomto článku studujeme asymptotické vlastnosti minimálních řešení Riccatiho maticových rovnic a nerovnic pro diskrétní symplektické systémy. Zejména zobecňujeme nerovnosti, které jsou známé pro symetrická řešení Riccatiho maticových rovnic, na Riccatiho maticové nerovnice. Taktéž zdůvodňujeme definici a vlastnosti minimálního řešení Riccatiho rovnice a recesivního řešení symplektického systému v mínus nekonečnu pomocí příslušných známých pojmů v plus nekonečnu.
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