Minimizing sequences in optimal control with approximately given input data and the regularizing properties of the Pontryagin maximum principle

Autor:	M. I. Sumin, E. V. Trushina
Rok vydání:	2008
Předmět:	Computational Mathematics Mathematical optimization Optimal control Regularization (mathematics) Hamiltonian (control theory) Pontryagin's minimum principle Mathematics
Zdroj:	Computational Mathematics and Mathematical Physics. 48:209-224
ISSN:	1555-6662 0965-5425
DOI:	10.1134/s096554250802005x
Popis:	Results related to the optimal control theory for systems with approximately given input data are presented. The basic (desired) element in the theory is the minimizing sequence of feasible controls rather than the classical optimal control. Necessary and sufficient conditions for minimizing sequences are established. The regularizing properties of the Pontryagin maximum principle and of minimizing sequences are discussed. Three basic regularization levels are singled out that are characteristic of any optimal control problem. The stability of the optimal value in a problem depending on the constraint parameter is discussed. Illustrative examples are considered in detail.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::23439c52976b2aa01d5d2c8d71717f2d https://doi.org/10.1134/s096554250802005x Zobrazit plný text záznamu Full text from SpringerLink