Artificial intelligence

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On the optimal control problem in the models of pathological formation growth based on Richard dynamics

Andruschak I.1, Bagrij-Zayats O.2
1 Lutsk Natіonal Technіcal Unіversity
2 I.Horbachevsky Ternopil State Medical University

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UDC: 519.71:616-092.18
Publication Language: Ukrainian
Stuc. intelekt. 2013; 18(1):111–116

Abstract: In the work there is offered the model of control for pathologic process that describe Richard dynamics. The model is presented as optimal control problem for the system of nonlinear differential equations. There are stated necessary optimality conditions and the form of optimal solution is analytically shown on some initial interval.

Keywords: optimal control, Pontryagin’s maximum principle, necessary optimality conditions

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