Results 11 to 20 of about 9,499 (219)
Axioms, 2022 In this paper, we use the averaging method to find an approximate solution in the optimal control problem of a parabolic system with non-linearity of the form f(t/ε,y) on an infinite time interval.
Olena A. Kapustian +3 more
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H-Optimal Control in Coefficients for Dirichlet Parabolic Problems
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2010 In the paper the Dirichlet optimal control problem associated with a linear parabolic equation the coefficients of which we take as controls in L1(Ω) has been studied. Since equations of this type can exhibit the Lavrentieff phenomenon and non-uniqueness
I. G. Balanenko, P. I. Kogut
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Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2016 We study a Dirichlet optimal control problem for a nonlinear elliptic anisotropic p-Laplace equation with control and state constraints. The matrix-valued coecients we take as controls and in the linear part of dierential operator we consider coecients ...
O. P. Kupenko
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Identification Problem for Nonlinear Gao Beam
Mathematics, 2020 This paper deals with the identification of coefficients in the nonlinear beam model which was first introduced by D. Y. Gao in 1996. For the identification of coefficients, an optimal control approach is used.
Jana Radová +2 more
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Robust Control for the Segway with Unknown Control Coefficient and Model Uncertainties [PDF]
Sensors, 2016 The Segway, which is a popular vehicle nowadays, is an uncertain nonlinear system and has an unknown time-varying control coefficient. Thus, we should consider the unknown time-varying control coefficient and model uncertainties to design the controller.
Kim, Byung, Park, Bong
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On Optimal Control Problem in Coefficients for Nonlinear Elliptic Variational Inequalities
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2011 In this paper we study an optimal control problem for a nonlinear elliptic variational inequality with generalized solenoidal coefficients which we adopt as controls in L°°(fi). We prove the existence of optimal solution of the stated problem.
O. P. Kogut
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Nonlinear Analysis, 2023 We consider an optimal control problem for a differential inclusion of the Carathéodory type affine with respect to the control with a coercive cost functional on a semiaxis and with fast oscillating time-dependent coefficients.
Sergey Dashkovskiy +3 more
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Journal of Optimization, Differential Equations and Their Applications, 2018 We study a Dirichlet-Navier optimal design problem for a quasi-linear mono- tone p-biharmonic equation with control and state constraints. The coecient of the p-biharmonic operator we take as a design variable in BV ( )\L1( ).
Peter I. Kogut, Olha P. Kupenko
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Polynomial Stabilization with Bounds on the Controller Coefficients∗∗##
IFAC-PapersOnLine, 2015 Let b/a be a strictly proper reduced rational transfer function, with a monic. Consider the problem of designing a controller y/x, with deg(y) < deg(x) < deg(a) – 1 and x monic, subject to lower and upper bounds on the coefficients of y and x, so that the poles of the closed loop transfer function, that is the roots (zeros) of ax + by, are, if possible,
Eaton, J. +3 more
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On relaxation of state-constrained optimal control problem in coefficients for biharmonic equation
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2015 We study a Dirichlet optimal control problem for biharmonic equation withcontrol and state constraints. The coecient of the biharmonic operator, the weightu, we take as a control in L1(Ω).
P. I. Kogut, L. V. Voloshko
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