Quasistrategies in an abstract guidance control problem |
| |
Authors: | A. G. Chentsov |
| |
Affiliation: | (1) Institute of Mathematics and Mechanics of Ural Branch of Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, GSP-384, 620219, Russia |
| |
Abstract: | We consider an abstract guidance control problem with elements of uncertainty, where the control procedures are identified with set-valued quasistrategies. The goal of the control consists in the guidance to the objective set under phase constraints.We construct the solvability set by the method of program iterations which is well known in the theory of differential games. We prove that the limit of the iterative procedure has the sense of the set of positional absorption (the stable bridge) introduced by N. N. Krasovskii. This limit coincides with the solvability set in the class of quasistrategies. |
| |
Keywords: | set-valued quasistrategy method of program iterations problem of confinement program absorption operator |
本文献已被 SpringerLink 等数据库收录! |