Browsing by Author "Huseyin, Anar"
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Approximation of the integral funnel of the Urysohn type integral operator
Huseyin, Anar (ELSEVIER SCIENCE INC, 2019)The integral funnel of the closed ball of the space L-p, p > 1, with radius r and centered at the origin under Urysohn type integral operator is defined as the set of graphs of the images of all functions from given ball. ... -
Approximation of the Sections of the Set of Trajectories of the Control System Described by a Nonlinear Volterra Integral Equation
Huseyin, Anar; Huseyin, Nesir; Guseinov, Khalik G. (VILNIUS GEDIMINAS TECH UNIV, 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
Huseyin, Nesir; Huseyin, Anar; Guseinov, Khalik (VILNIUS GEDIMINAS TECH UNIV, 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 control system described by a Urysohn type integral equation with quadratic integral constraints on the control functions
Alias, Idham A.; Huseyin, Nesir; Huseyin, Anar (SPRINGER INTERNATIONAL PUBLISHING AG, 2016)In this paper the control system is considered described by a Urysohn type integral equation which is nonlinear with respect to the state vector and is affine with respect to the control vector. The functions from the space ... -
On the compactness of the set of L-2 trajectories of the control system
Huseyin, Nesir; Huseyin, Anar (INST MATHEMATICS & INFORMATICS, 2018)In this paper, the compactness of the set of L-2 trajectories of the control system described by the Urysohn-type integral equation is studied. The control functions are chosen from the closed ball of the space L-2 with ... -
ON THE EXISTENCE OF epsilon-OPTIMAL TRAJECTORIES OF THE CONTROL SYSTEMS WITH CONSTRAINED CONTROL RESOURCES
Huseyin, Anar (ANKARA UNIV, FAC SCI, 2017)The control system described by a Urysohn type integral equation is considered. It is assumed that the admissible control functions are chosen from the closed ball of the space L-p, p > 1, with radius r and centered at the ...