THE COMPARISON OF SHEAF-SOLUTIONS IN FUZZY CONTROL PROBLEM
Published:
2006-02-28
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 URP, t[0,T]R+, and sheaf of solutions: Ht,u= {x(t) = x(t,xo, u(t))|xo H0 Q, tI = [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)