TY - GEN A1 - Hryniewicz, Olgierd (1948– ) PB - Instytut Badań Systemowych. Polska Akademia Nauk PB - Systems Research Institute. Polish Academy of Sciences N1 - [1-2], 67-80 pages ; 21 cm N1 - Bibliography p. 79-80 N2 - A stable non stationary linear system is considered. A quality criterion is represented by a functional in the integral form of the sum of positive polynomiaes with respect to the state variables and squared control. lt is proved that the optima[ control is an irrational Junction of polynomial depending on the state variables. The minimum value of performance index can have two forms: the hyperelliptic integral or polynomial depending on the initial state. In the presence of a prior information about the probability distribution that governs the random output of a statistical experiment we use the Bayes decisions methodology for verification of certain statistical hypotheses. In the case of precise statistical data or imprecise data described by a fuzzy information system the existing methodology is sufficient for testing of statistical hypotheses. In this paper we propose a new procedure that can be applied for the generał fuzzy statistical data. Concepts known from of the possibility theory, such as possibility and necessity indices, have been used in order_ to evaluate the correctness of Bayes decisions for imprecisely (e.g. linguistically) defined statistical data. L1 - http://rcin.org.pl/Content/206688/PDF/KS-2002-01-P05.pdf M3 - Text CY - Warszawa J2 - Książka = Book ; KS/1/2002/P05 PY - 2002 T1 - Automatyka, sterowanie, zarządzanie : książka jubileuszowa z okazji 70-lecia urodzin profesora Kazimierza Mańczaka * Bayesowska weryfikacja hipotez statystycznych przy nieprecyzyjnych danych eksperymentalnych UR - http://rcin.org.pl/dlibra/publication/edition/206688 ER -