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- W2950191715 abstract "The paper deals with the optimal control problem described by second evolution differential inclusions; to this end first we use an auxiliary problem with second discrete and discrete-approximate inclusions. Then applying infimal convolution concept of convex functions, step by step we construct the dual problems for discrete, discrete-approximate and differential inclusions and prove results. It seems that the Euler-Lagrange type inclusions are duality relations for both primary and dual problems and that the dual problem for discrete-approximate problem make a bridge between them. Finally, relying to the method described within the framework of the idea of this paper a dual problem can be obtained for any differential inclusions. In this way relying to the described method for computation of the conjugate and support functions of discrete-approximate problems a Pascal triangle with binomial coefficients, can be successfully used for any higher order calculations." @default.
- W2950191715 created "2019-06-27" @default.
- W2950191715 creator A5081359826 @default.
- W2950191715 date "2019-06-17" @default.
- W2950191715 modified "2023-09-27" @default.
- W2950191715 title "Infimal Convolution and Duality in Convex Optimal Control Problems with Second Order Evolution Differential Inclusions" @default.
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