Browsing Matematik ve Fen Bilimleri Eğitimi Bölümü by Author "0000-0001-7652-1505"
Now showing items 1-13 of 13
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Approximation of the image of the $L_p$ ball under Hilbert-Schmidt integral operator
Hüseyin, Nesir (De Gruyter, 14.04.2023)In this paper an approximation of the image of the closed ball of the space $L_p$ $(p>1)$ centered at the origin with radius $r$ under Hilbert-Schmidt integral operator $F( \cdot ):L_p\rightarrow L_q$, $\frac{1}{p}+\frac{1}{q}=1,$ ... -
Approximation of the image of the $L_p$ ball under Hilbert-Schmidt integral operator
Hüseyin, Nesir (De Gruyter, 14.04.2023)In this paper an approximation of the image of the closed ball of the space $L_p$ $(p>1)$ centered at the origin with radius $r$ under Hilbert-Schmidt integral operator $F( \cdot ):L_p\rightarrow L_q$, $\frac{1}{p}+\frac{1}{q}=1,$ ... -
Approximation of the set of integrable trajectories of the control system with $L_2$ norm constraints on control functions
Nesir Huseyin; Anar Huseyin; Khalik G. Guseinov (American Institute of Mathematical Sciences, June 2024)In this paper an approximation of the set of multivariable and $L_2$ integrable trajectories of the control system described by Urysohn type integral equation is considered. It is assumed that the system is affine with ... -
Approximations of the images and integral funnels of the $L_p$ balls under a Urysohn-type integral operator.
Hüseyin, Nesir (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, Nesir (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, Nesir (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 continuity properties of the L_p balls
Hüseyin, Nesir; Hüseyin, Anar (Walter de Gruyter GmbH, 14.04.2023)In this paper the right upper semicontinuity at p = 1 and continuity at p = ∞ of the set-valued map p → B_{\Omega,X,p}(r), p ∈ [1, ∞], are studied where B_{\Omega,X,p}(r) is the closed ball of the space L_p(\Omega, Σ, \mu; ... -
On the continuity properties of the Lp balls
Hüseyin, Nesir; Hüseyin, Anar (Walter de Gruyter GmbH, 11.04.2023)In this paper the right upper semicontinuity at p = 1 and continuity at p = ∞ of the set-valued map p → B_{\Omega,X,p}(r), p ∈ [1,∞], are studied where B_{\Omega,,X,p}(r) is the closed ball of the space L_p(\Omega, Σ, ... -
On the properties of the set of trajectories of the nonlinear control system with quadratic integral constraint on the control functions
Hüseyin, Anar; Hüseyin, Nesir (Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences, 30.06.2023)In this paper the control system described by a nonlinear differential equation is studied. It is assumed that the control functions have a quadratic integral constraint, more precisely, the admissible control functions ... -
On the robustness of the integrable trajectories of the control systems with limited control resources
Hüseyin, Nesir; Hüseyin, Anar; Guseinov, Khalik (Polish Academy of Sciences, 14.09.2023)The control system described by Urysohn type integral equation is considered where the system is nonlinear with respect to the phase vector and is affine with respect to the control vector. The control functions are chosen ... -
On the robustness of the integrable trajectories of the control systems with limited control resources
Hüseyin, Nesir; Hüseyin, Anar; Guseinov, Khalik (Polish Academy of Sciences, 14.09.2023)The control system described by Urysohn type integral equation is considered where the system is nonlinear with respect to the phase vector and is affine with respect to the control vector. The control functions are chosen ... -
On the robustness of the integrable trajectories of the control systems with limited control resources
Hüseyin, Nesir; Hüseyin, Anar; Kh.G. Guseinov (Polish Academy of Sciences, 14.09.2023)The control system described by Urysohn type integral equation is considered where the system is nonlinear with respect to the phase vector and is affine with respect to the control vector. The control functions are ... -
Urysohn Tür İntegral Denklem ile Verilen Kontrol Sistemin Yörüngeler Kümesinin Özellikleri Üzerine (On the Properties of the Set of Trajectories of the Control System Described by Urysohn Type Integral Equation)
Hüseyin, Nesir (Düzce Üniversitesi, 30.10.2023)Bu çalışmada Urysohn tür integral denklem ile verilen control systemin yörüngeler kümesinin özellikleri incelenmektedir. Kontrol fonksiyonların integral kısıtı sağladığı varsayılmaktadır. Yörüngeler kümesinin control ...