DocumentCode
2275519
Title
How stable is a fuzzy linear system?
Author
Nguyen, Hung T. ; Kreinovich, Vladik
Author_Institution
Dept. of Math. Sci., New Mexico State Univ., Las Cruces, NM, USA
fYear
1994
fDate
26-29 Jun 1994
Firstpage
1023
Abstract
One of the main problems to which control is applied is stabilizing a plant. In this case, it is sufficient to consider only small deviations from the ideal state. For small deviations, the dynamics of the plant can be described by linear differential equations. In many real-life cases, however, we do not know the exact values of the coefficients that describe the plant´s dynamics. In the present paper, we describe the relevant mathematical problem and the standard stability techniques of control theory, and present an algorithm that estimates the desired degree of belief. In other words, this algorithm describes how stable is a given fuzzy linear systems
Keywords
dynamics; eigenvalues and eigenfunctions; fuzzy control; linear differential equations; linear systems; stability; stability criteria; degree of belief; eigenvalues; fuzzy control; fuzzy linear system; linear differential equations; plant´s dynamics; stability; Computer science; Control systems; Control theory; Differential equations; Fuzzy control; Fuzzy systems; Linear systems; Mathematics; Stability; Taylor series;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Systems, 1994. IEEE World Congress on Computational Intelligence., Proceedings of the Third IEEE Conference on
Conference_Location
Orlando, FL
Print_ISBN
0-7803-1896-X
Type
conf
DOI
10.1109/FUZZY.1994.343876
Filename
343876
Link To Document