Browsing by Author "Hüseyin, Anar"
Now showing items 1-4 of 4
-
Approximations of the images and integral funnels of the $L_p$ balls under a Urysohn-type integral operator.
Hüseyin, Anar (Springer New York, 25.12.2022)Approximations of the image and integral funnel of a closed ball of the space $L_p$, $p>1$, under a Urysohn-type integral operator are considered. A closed ball of the space $L_p$, $p>1$, is replaced by a set consisting ... -
Approximations of the set of trajectories and integral funnel of the nonlinear control systems with $L_p$ norm constraints on the control functions
Hüseyin, Anar (Oxford University Press, 29.11.2022)In this paper, approximations of the set of trajectories and integral funnel of the control system described by non-linear ordinary differential equation with integral constraint on the control functions are considered. ... -
Continuity of $L_p$ Balls and an Application to Input-Output Systems
Hüseyin, Anar (Pleiades Publishing, 24.02.2022)In this paper, the continuity of the set-valued map $p\rightarrow B_{\Omega, \mathcal{X},p}$, $p\in (1,+\infty)$, is proved where $B_{\Omega, \mathcal{X},p}$ is the closed ball of radius $r$ in the space $L_p(\Omega, ... -
On the p-integrable trajectories of the nonlinear control system described by Urysohn type integral equation
Hüseyin, Anar (Walter de Gruyter GmbH, 11.10.2022)The control systems described by the Urysohn-type integral equations and integral constraints on the control functions are considered. The functions from the closed ball of the space $L_p$, $p>1$, with radius $r$, are ...