Optimization of Higher-Order Differential Inclusions with Special Boundary Value Conditions

Autor:	Elimhan N. Mahmudov
Rok vydání:	2021
Předmět:	Control and Optimization Transversality Maximum principle Differential inclusion Discretization Applied Mathematics Applied mathematics Periodic boundary conditions Boundary value problem Management Science and Operations Research Optimal control Equivalence (measure theory) Mathematics
Zdroj:	Journal of Optimization Theory and Applications. 192:36-55
ISSN:	1573-2878 0022-3239
Popis:	The paper is devoted to Lagrange problem of optimal control theory with higher-order differential inclusions (HODI) and special boundary conditions. Optimality conditions are derived for HODIs, as well as for their discrete analogy. In this case, discretization method of the second-order differential inclusion is used to form sufficient optimality conditions for HODIs and periodic boundary conditions, the so-called transversality conditions. And to construct an Euler–Lagrange-type inclusion, a locally adjoint mapping is used, which is closely related to the coderivative concept of Mordukhovich. In turn, this approach requires several important equivalence results concerning LAMs to the discrete and discrete-approximate problems. The results obtained are demonstrated by the optimization of some “linear” optimal control problems, for which the Weierstrass–Pontryagin maximum principle and transversality conditions are formulated.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7caa20f10bde498d7640a097a1668e87 https://doi.org/10.1007/s10957-021-01936-6 Zobrazit plný text záznamu Full text from SpringerLink