Browsing by Author "Guseinov, Khalik G."
Now showing items 120 of 30

An algorithm for approximate calculation of the attainable sets of the nonlinear control systems with integral constraint on controls
Guseinov, Khalik G.; Nazlıpinar, Ali S. (PergamonElsevier Science LTD, 2011)In this paper, an algorithm for approximate calculation of the attainable sets of nonlinear control systems with integral constraint on controls is presented. A numerical example of the computer application of this algorithm ... 
Approximate construction of the set of trajectories of the control system described by a Volterra integral equation
Hüseyin, Nesir; Guseinov, Khalik G.; Ushakov, Vladimir N. (WileyV C H Verlag GMBH, 2015)In this paper the set of trajectories of the control system is investigated. It is assumed that the behavior of the control system is described by a Volterra integral equation which is nonlinear with respect to the state ... 
The approximation of reachable sets of control systems with integral constraint on controls
Guseinov, Khalik G.; Özer, Orhan; Akyar, Emrah; Ushakov, V. N. (Springer International Publishing Ag, 2007)In this paper an approximation method for the construction of reachable sets of control systems with integral constraints on the control is considered. It is assumed that the control system is nonlinear with respect to ... 
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 attainable sets of the nonlinear control systems with integral constraint on controls
Guseinov, Khalik G. (PergamonElsevier Science LTD, 2009)In this article the attainable sets of a control system are investigated. It is assumed that the behavior of the control system is described by a differential equation which is nonlinear with respect to the phase state ... 
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 ... 
Bounded Motions of the Dynamical Systems Described by Differential Inclusions
Ege, Nihal; Guseinov, Khalik G. (Hindawi LTD, 2009)The boundedness of the motions of the dynamical system described by a differential inclusion with control vector is studied. It is assumed that the righthand side of the differential inclusion is upper semicontinuous. ... 
Coincidence criteria of the maximal stable bridges in the approach problems
Ushakov, V. N.; Guseinov, Khalik G.; Latushkin, Ya. A.; Lebedev, P. D. (PergamonElsevier Science LTD, 2010)Two person antagonistic differential games with dynamics described by nonlinear ordinary differential equations are considered. For a given compact target set M subset of Rn the problem of approach at a given time instant ... 
Comparison of the positional absorption sets in two game approach problems
Ushakov, V. N.; Lebedev, P. D.; Guseinov, Khalik G. (IFAC Secretariat, 2012)For a given compact target set M C Rn the problem of approach at a given time instant 6 and the problem of approach to a given time instant 6 are discussed. The coincidence criteria of positional absorbtion sets, i.e. the ... 
The Construction of Differential Inclusions With Prescribed Attainable Sets
Guseinov, Khalik G.; Düzce, Serkan Ali; Özer, O. (Springer/Plenum Publishers, 2008)For given epsilon > 0 and a given continuous setvalued mapping t > Z(t), t epsilon [t(0),theta], where Z(t). subset of Rn is a compact and convex set for every t epsilon [t(0),theta], a differential inclusion is constructed ... 
Convex extensions of the convex set valued maps
Guseinov, Khalik G.; Düzce, Serkan Ali; Özer, O (Academic Press Inc Elsevier Science, 2006)In this article the existence of the convex extension of convex set valued map is considered. Conditions are obtained, based on the notion of the derivative of set valued maps, which guarantee the existence of convex ... 
Directional convex extensions of the convex valued maps
Düzce, S. A.; Guseinov, Khalik G. (2009)In this paper, the concept of directional convex extension of the convex valued maps is introduced. Necessary and sufficient conditions for the existence of the directional convex extension of the convex valued map are obtained 
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 ... 
İntegral Sınırlı Kontrol Sistemlerin Erişim Kümelerinin Hesaplanması İçin Bir Algoritma
Guseinov, Khalik G.; Özer, Orhan; Akyar, Emrah (Anadolu Üniversitesi, 2002)Kontrol sistemlerin erişim kümelerinin nümerik yöntemlerle hesaplanması, kontrol sistemler teorisinde önemli bir yer tutmaktadır. Bu çalışmada, kontrol fonksiyonları integral sınırlı, lineer olmayan kontrol sistemlerin ... 
Lower and upper directional differentiability of the set valued maps and their applications
Guseinov, Khalik G.; Küçük, Y; Ekici, E (Watam Press, 2003)In this paper the lower and upper directional differentiability concepts of the set valued maps are introduced and the directional differentiability properties of the marginal functions are studied. Sufficient condition ... 
On differential inclusions with prescribed attainable sets
Guseinov, Khalik G.; Özer, O; Düzce, Serkan Ali (Academic Press Inc Elsevier Science, 2003)In this article, the inverse problem of the differential inclusion theory is studied. For a given epsilon > 0 and a continuous set valued map t > W(t), t is an element of [t(0), theta], where W(t) subset of Rn is compact ... 
On solution of boundary value problem for differential inclusion
Küçük, Mahide; Guseinov, Khalik G.; Küçük, Yalçın (PergamonElsevier Science LTD, 2000)In the article an inverse problem for differential inclusion is considered. For a given compact set M* subset of Rn it is required to define the maximal set M0 subset of Rn so that the reachable set of differential ... 
On the coincidence of maximal stable bridges in two approach game problems for stationary control systems
Ushakov, V. N.; Guseinov, Khalik G.; Latushkin, Ya. A.; Lebedev, P. D. (Maik Nauka/Interperiodica/Springer, 2010)Two approach game problems with a compact target set on a finite time interval are studied. The coincidence of their solutions is investigated.