Subtitle:

Książka = Book ; KS/1/2002/P05

Publisher:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Place of publishing:

Warszawa

Description:

[1-2], 67-80 pages ; 21 cm ; Bibliography p. 79-80

Type of object:

Book/Chapter

Abstract:

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.

Relation:

Książka = Book

Detailed Resource Type:

Book

Resource Identifier:

oai:rcin.org.pl:206688

Source:

KS-2002-01-P05

Language:

eng

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitizing institution:

Systems Research Institute of the Polish Academy of Sciences

Original in:

Library of Systems Research Institute PAS

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Access:

Open