Optimal Interval Enclosures for Fractionally-linear Functions, and Their Aplication to Intelligent Control
نویسندگان
چکیده
One of the main problems of interval computations is, given a function f(x 1 problem is feasible for linear functions f, but for generic polynomials, it is known to be computationally intractable. Because of that, traditional interval techniques usually compute the enclosure of y, i.e., an interval that contains y. The closer this enclosure to y, the better. It is desirable to describe cases in which we can compute the optimal enclosure, i.e., the range itself. In this paper, we describe a feasible algorithm for computing the optimal enclosure for fractionally linear functions f. Applications of this result to intelligent control are described.
منابع مشابه
Optimal interval enclosures for fractionally-linear functions, and their application to intelligent control
One of the nmin png,~lems ,ff interval computations is, given a functhm f ( x l . . . . . xn) and n intervals x i , . . . , x n , to compute the range y = f ( x l ~ , . . . , x n ) . This problem is feasible for linear fttnction s f , but for genetic Ixdynomials, it is known to be cmHputationally intractable. Becau~ of that, traditional interval techniques usually compute the e~wJa~,re ,ff y , ...
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