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THE COMPARISON OF SHEAF-SOLUTIONS IN FUZZY CONTROL PROBLEM

Nguyen Dinh Phu 1
Tran Thanh Tung 1
Volume & Issue: Vol. 9 No. 2 (2006) | Page No.: 5-10 | DOI: 10.32508/stdj.v9i2.2878
Published: 2006-02-28

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Copyright The Author(s) 2023. This article is published with open access by Vietnam National University, Ho Chi Minh city, Vietnam. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0) which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited. 

Abstract

In [2] the author considered the Sheaf-Optimal Control Problem (SOCP) by differential equations: (dx(t))/dt=f(t,x(t),u(t)), where xo  Q  Rn, u URP, t[0,T]R+, and sheaf of solutions: Ht,u= {x(t) = x(t,xo, u(t))|xo  H0 Q, tI = [0,T]  R+, u(t)  U} with the goal function I(u)  min. In [5], we have offered the neccesary conditions of Sheaf-Optimal Control Problem in Fyzzy type (SOFCP), that means the controls u(t)  U  EP not belong to RP. This paper shows some comparison of sheaf-solutions Hi,u and Ht,ū for many kinds of fuzzy controls u(t), ū(t)  U  EP in Sheaf Fuzzy Control Problem (SFCP)

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