Kurum Yazarı "Hüseyin, Haluk" Fen Fakültesi İçin Listeleme
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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. (Pergamon-Elsevier 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. (Wiley-V 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 non-linear 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 L-p, p > ... -
Approximation of the attainable sets of the nonlinear control systems with integral constraint on controls
Guseinov, Khalik G. (Pergamon-Elsevier 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 right-hand 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. (Pergamon-Elsevier 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 R-n 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 set-valued mapping t -> Z(t), t epsilon [t(0),theta], where Z(t). subset of R-n 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 -
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 R-n is compact ... -
On solution of boundary value problem for differential inclusion
Küçük, Mahide; Guseinov, Khalik G.; Küçük, Yalçın (Pergamon-Elsevier Science LTD, 2000)In the article an inverse problem for differential inclusion is considered. For a given compact set M-* subset of R-n it is required to define the maximal set M-0 subset of R-n so that the reachable set of differential ... -
On the construction of differential inclusion with prescribed integral funnel
Guseinov, Khalik G.; Özer, O.; Düzce, Serkan Ali (2003)The inverse problem of the differential inclusion theory (DI) was discussed. The various properties of integral funnels and reachable sets of the DI were studied. The obtained results can be applied in mathematics modeling ... -
On the continuity properties of the attainable sets of control systems with integral constraints on control
Guseinov, Khalik G.; Özer, Orhan; Akyar, Emrah (Pergamon-Elsevier Science LTD, 2004)In the paper the attainable sets of the control systems with integral constraints on control are studied. It is assumed that the system is nonlinear with respect to the phase state vector and linear with respect to the ... -
On the continuity properties of the attainable sets of nonlinear control systems with integral constraint on controls
Guseinov, Khalik G.; Nazlıpinar, Ali S. (Hindawi LTD, 2008)The attainable sets of the nonlinear control systems with integral constraint on the control functions are considered. It is assumed that the behavior of control system is described by a differential equation which is ... -
On the continuity property of L-P balls and an application
Guseinov, Khalik G.; Nazlıpinar, A. S. (Academic Press Inc Elsevier Science, 2007)In this paper continuity properties of the set-valued map p -> B-p(mu(0)), p is an element of (1, +infinity), are considered where B-p (mu(0)) is the closed ball of the space L-p ([t(0), theta]; R-m) centered at the origin ...