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@inproceedings{901447,
author = {Šimon Hilscher, Roman and Zeidan, Vera Michel},
address = {Londýn},
booktitle = {Discrete Dynamics and Difference Equations},
edition = {1.},
keywords = {Time scale; Riccati equation; Quadratic functional; Positivity; Nonnegativity; Normality; Controllability; Conjoined basis},
language = {eng},
location = {Londýn},
isbn = {978-981-4287-64-7},
pages = {267-288},
publisher = {World Scientific Publishing Co.},
title = {Reid roundabout theorems for time scale symplectic systems},
url = {http://www.worldscibooks.com/mathematics/7470.html},
year = {2010}
}
TY - JOUR
ID - 901447
AU - Šimon Hilscher, Roman - Zeidan, Vera Michel
PY - 2010
TI - Reid roundabout theorems for time scale symplectic systems
PB - World Scientific Publishing Co.
CY - Londýn
SN - 9789814287647
KW - Time scale
KW - Riccati equation
KW - Quadratic functional
KW - Positivity
KW - Nonnegativity
KW - Normality
KW - Controllability
KW - Conjoined basis
UR - http://www.worldscibooks.com/mathematics/7470.html
N2 - In this paper we survey Reid roundabout theorems for time scale symplectic systems (S). These theorems list equivalent conditions for the positivity and nonnegativity of the quadratic functional F associated with (S). The Reid roundabout theorems in this paper do not impose any normality assumption. We also show that Jacobi systems for nonlinear time scale control problems naturally lead to time scale symplectic systems, and that such a system consists of the Hamiltonian equations corresponding to the weak maximum principle for the quadratic functional F.
ER -
ŠIMON HILSCHER, Roman a Vera Michel ZEIDAN. Reid roundabout theorems for time scale symplectic systems. In \textit{Discrete Dynamics and Difference Equations}. 1. vyd. Londýn: World Scientific Publishing Co., 2010, s.~267-288. ISBN~978-981-4287-64-7.
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