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In [5], we have offered the neccesary conditions of Sheaf-Optimal Control Problem in Fyzzy type (SOFCP), that means the controls u (t) ∈ U ⊂ E p not belong to R p . This paper shows some comparison of sheaf-solutions H t,u and H t,u for many kinds of fuzzy controls u (t), u(t) ∈ U ⊂ E p in Sheaf Fuzzy Control. | __TẠP CHÍ PHÁT TRIỂN KH CN TẬP 9 SÓ 2-2006 THE COMPARISON OF SHEAF- SOLUTIONS IN FUZZY CONTROL PROBLEM Nguyen Dinh Phu Tran Thanh Tung Faculty of Mathematics and Computer Sciences University of Natural Science VNU-HCM Manuscript Received on December 14th 2005 Manuscript Revised March 8th 2006 ABSTRACT In 2 the author considered the Sheaf-Optimal Control Problem SOCP by differential equations dx t f t x t u t dt where X0 e Q c Rn u e U c Rp t e 0 T c R and sheaf of solutions Ht u x t x t X0 u t X0 e H0 Q t e I 0 T c R u t e 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 e U c Ep not belong to Rp . This paper shows some comparison of sheaf-solutions Ht u and Ht u for many kinds of fuzzy controls u t u t e U c Ep in Sheaf Fuzzy Control Problem SFCP Keywords Fuzzy Theory Optimal Control Theorey Differential Equations. 1. INTRODUCTION For Sheaf-Optimal Control Problem SOCP many controls u t and u t u t Au are considered with Au u t -u t s where u t u t eUcRp 2 . For Sheaf-Optimal Control Problem in Fuzzy Type SOFCP we have fuzzy controls u t and u t e U c Ep with u t - u t T p 5 . For the Sheaf Fuzzy Control Problem SFCP we have the same fuzzy controls u t and u t eU c Ep that was defined by definition 5 in 5 . The paper is organized as follows In the second section offering the Sheaf Fuzzy Control Problem SFCP we get estimations of the norms II C and 11 L of Ax x t x0 u t -x t x0 u t and Af f t x t x0 u t u t - f t x t x0 u t u t In section 3 we study some comparisons of sheaf solutions Htu in many kinds of fuzzy controls u t u t e U c Ep that means we have to compare the measure I LI H u - LI I I u I 2. THE SHEAF FUZZY CONTROL PROBLEM SFCP As we know the solutions of differential equations depend locally on initial right hand side and parameters. Now we consider a control system of differential equations y f t x t u t