Abstract:
The robust stability margin of fuzzy-coefficient polynomials is determined. Since the membership level of a fuzzy number is expressed by a functional interval, the method applied to analyze the robust stability of interval polynomials can be applied to solve this problem. A new method for computing the robust stability margin of fuzzy polynomials with a convenient graphic interpretation is developed on the basis of the Tsypkin–Polyak robust stability criterion and $D$-decomposition of interval polynomials. It can also be used to find the degree to which the membership level of every coefficient can be varied without violating the stability of a system.
Presented by the member of Editorial Board:B. T. Polyak
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