Some properties of fuzzy nonlinear feedback systems

Kazuo A. TANAKA, Masahito Sano · 2003

Some properties of the stability of fuzzy nonlinear feedback systems are discussed in accordance with the definition of stability in the sense of Lyapunov. The authors derive two conditions for ensuring the stability of fuzzy nonlinear feedback systems from stability theorems proposed by K. Tanaka and M. Sugeno (1990, 1992). One is a nonrobust stability condition. The other is a robust stability condition. Next, these stability conditions are weakened. The weak stability conditions are used to find an admissible range of premise parameter uncertainty which guarantees robust stability.>

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