On optimal boundary and distributed control of partial integro-differential equations

• Autorzy: Khurshudyan A. Zh.

Identyfikatory

DOI

10.2478/acsc-2014-0001

• Języki publikacji: EN

Abstrakty

EN

A method of optimal control problems investigation for linear partial integro-differential equations of convolution type is proposed, when control process is carried out by boundary functions and right hand side of equation. Using Fourier real generalized integral transform control problem solution is reduced to minimization procedure of chosen optimality criterion under constraints of equality type on desired control function. Optimality of control impacts is obtained for two criteria, evaluating their linear momentum and total energy. Necessary and sufficient conditions of control problem solvability are obtained for both criteria. Numerical calculations are done and control functions are plotted for both cases of control process realization.

Słowa kluczowe

EN

optimal control; integro-differential equation; equation of convolution type; Fourier generalized transform; impulsive control

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2014
• Tom: Vol. 24, no. 1
• Strony: 5--25
• Opis fizyczny: Bibliogr. 21 poz., rys., wzory

Twórcy

autor

Khurshudyan A. Zh.

• Faculty of Mathematics and Mechanics, Yerevan State University, Alex Manoogian Str. 1, 0025 Yerevan, Armenia

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