Browsing by Author "Hüseyin, Anar"
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Approximation of sections of the set of trajectories for a control system with bounded control resources
Hüseyin, Anar; Hüseyin, Nesir; Guseinov, Khalik G. (Krasovskii Inst Mathematics & Mechanics Ural Branch Russian Acad Sciences, 2017)The approximation of the set of trajectories is studied for a control system described by the Urysohn integral equation. It is assumed that the system has limited control resources. The closed ball of the space Lp, p > ... 
Approximation of the Sections of the Set of Trajectories of the Control System Described by a Nonlinear Volterra Integral Equation
Hüseyin, Anar; Hüseyin, Nesir; Guseinov, Khalik G. (Vilnius Gediminas Tech University, 2015)Approximation of the sections of the set of trajectories of the control system described by a nonlinear Volterra integral equation is studied. The admissible control functions are chosen from the closed ball of the space ... 
Approximation of the Set of Trajectories of the Nonlinear Control System with Limited Control Resources
Hüseyin, Nesir; Hüseyin, Anar; Guseinov, Khalik G. (Vilnius Gediminas Tech University, 2018)In this paper the control system described by a Urysohn type integral equation is studied. It is assumed that the control functions have integral constraint. Approximation of the set of trajectories generated by all ... 
Compactness of the set of trajectories of the controllable system described by an affine integral equation
Hüseyin, Nesir; Hüseyin, Anar (Elsevier Science Inc, 2013)In this paper the control system with integral constraint on the controls is studied. It is assumed that the behavior of the system is described by an affine Volterra integral equation which is nonlinear with respect to ... 
Dependence on the parameters of the set of trajectories of the control system described by a nonlinear Volterra integral equation
Hüseyin, Anar; Hüseyin, Nesir (Acad Sciences Czech Republic, Inst Mathematics, 2014)In this paper the control system with limited control resources is studied, where the behavior of the system is described by a nonlinear Volterra integral equation. The admissible control functions are chosen from the ... 
Doğrusal olmayan volterra integral denklemi ile verilen kontrol sistemin yörüngeler kümesinin özellikleri ve yaklaşımı
Hüseyin, Anar (Anadolu Üniversitesi, 2014)Tezde, davranışı Volterra integral denklemi ile verilen kontrol sistem incelenmektedir. Sistemin faz ve kontrol vektörüne göre doğrusal olmadığı varsayılıyor. Mümkün kontrol fonksiyonları kümesi olarak Lp, p > 1, uzayının ... 
Existence of the Optimal Trajectories of the Controllable System Described by an Affine Integral Equation
Hüseyin, Nesir; Hüseyin, Anar; Guseinov, Khalik G. (IEEE, 2012)In this paper the control system with integral constraint on the controls is studied. It is assumed that the behavior of the system is described by an affine Volterra integral equation which is nonlinear with respect to ... 
Existence of the optimal trajectories of the controllable system described by an affine integral equation
In this paper the control system with integral constraint on the controls is studied. It is assumed that the behavior of the system is described by an affine Volterra integral equation which is nonlinear with respect to ... 
On the approximation of the set of trajectories of control system described by a Volterra integral equation
Hüseyin, Anar (Inst Mathematics & Informatics, 2014)In this paper, the set of trajectories of the control system described by a nonlinear Volterra integral equation is studied. It is assumed that the set of admissible control functions is the closed ball of the space Lp, ... 
On the Positive Linear Set Valued Maps
Hüseyin, Anar; Hüseyin, Nesir (University Miskolc Inst Math, 2013)In this paper positive linear set valued maps defined on the cone are studied. The representation theorem for positive linear set valued maps is given and Lipschitz continuity of these maps is proved. The estimations of ... 
On the Set of Trajectories of the Control Systems with Limited Control Resources
Hüseyin, Nesir; Hüseyin, Anar; Guseinov, Khalik G. (SpringerVerlag Berlin, 2015)The set of trajectories of the control system with limited control resources is studied. It is assumed that the behavior of the system is described by a Volterra type integral equation which is nonlinear with respect to ... 
Precompactness of the Set of Trajectories of the Controllable System Described by a Nonlinear Volterra Integral Equation
Hüseyin, Anar; Hüseyin, Nesir (Vilnius Gediminas Tech University, 2012)In this paper the controllable system whose behaviour is described by a nonlinear Volterra integral equation, is studied. The set of admissible control functions is the closed ball of the space Lp (p > 1) with radius mu(0) ...