TY - JOUR
ID - 55631
TI - On the control of a dynamical system defined by a decreasing one-dimensional set-valued function
JO - Annals of Optimization Theory and Practice
JA - AOTP
LA - en
SN - 2588-3666
AU - Vizári, Béla
AU - Kovács, Gergely
AD - Department of Industrial Engineering, Eastern Mediterranean University, Famagusta, Mersin 10, Turkey
AD - Department of Economics, Edutus College, Tatabánya, Hungary
Y1 - 2018
PY - 2018
VL - 1
IS - 1
SP - 23
EP - 33
KW - Set-valued function
KW - Dynamical system
KW - Control
KW - Target interval
KW - Viable solution
DO - 10.22121/aotp.2018.110970.1007
N2 - Agricultural production can be described by discrete time as there is harvest in every year only once. The agricultural production is uncertain because of the weather and the ever changing technology. At the same time, the sector prefers stability which is reflected in the small changes in the prices. The uncertainty of the price may be modeled by a set-valued function in a single product market. The independent variable is the price expectation of the producer which is the future value of the price estimated by the producer. It can be assumed that the set-valued function is decreasing because in the case of higher price expectation, greater quantity appears on the market and thus the real market price becomes the lower. The stability of the market may require some control. In this paper the existence of an appropriate control to reach a target interval and to keep the trajectory in the interval is investigated from mathematical point of view. Necessary and sufficient conditions are given for the existence of the viable solution. The “striped structure” of the dynamical system is explored as well.
UR - http://aotp.fabad-ihe.ac.ir/article_55631.html
L1 - http://aotp.fabad-ihe.ac.ir/article_55631_17d79afed67a9f3abb33a4da02809774.pdf
ER -