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Publication type : Proceedings Paper ✕Subject Headings : maximum principle ✕
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On the Solvability of a Nonlinear Tracking Problem Under Boundary Control for the Elastic Oscillations Described by Fredholm Integro-Differential Equations

Elmira ABDILDAYEVA

In the present paper we investigate nonlinear tracking problem under boundary control for the oscillation processes described by Fredholm integro-differential equations. When we investigate this problem we use notion of a weak generalized solution of the boundary value problem. Based on the maximum principle for distributed systems we obtain optimality conditions from which follow the nonlinear integral equation of optimal control and the differential inequality.We have developed an algorithm to construct the optimization problem solution. This solving method of a nonlinear tracking problem is ...More

Proceedings Paper 2017 Fen Fakültesi IFIP Advances in Information and Communication Technology494 66 Views
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Method of spherical harmonic series in the problem of minimization of atmosphere pollution by fractions of harmful admixtures

Ramiz RAFATOV

The problem of minimization of atmosphere pollution by fractions of harmful admixtures is studied. It is supposed that a controlled object is described by non-stationary integral–differential transfer equation with special boundary conditions and control parameters, which are included in the right part of equation as delta-functions. Minimized integral quadratic functional characterizes energy expenditure for control and depends on the average squared deflection of fraction concentration from the desired final state. Optimal conditions are obtained with the help of Pontryagin’s maximum princip ...More

Proceedings Paper 2004 Fen Fakültesi Mathematics and Computers in Simulation67 ( 4–5 ) 95 Views
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