Stability conditions for Tanaka-Sugeno (T-S) fuzzy discrete systems based on a single quadratic Lyapunov function or a weighting dependent Lyapunov function have been mentioned in lots of literature. The existence of a common matrix P is required in the former, and r (rules' number) positive matrices satisfying r2 Lyapunov inequalities are necessary in the latter. In this paper, the weighting dependent Lyapunov function is used again. Moreover according to the idea of the firing rule group and the distance estimation between two successive states of the system, the relaxed stability criterion of T-S fuzzy discrete system is proposed.
This paper proposes a novel genetic algorithms (GA)-based algorithm to construct a user-friendly fuzzy system for approximating an unknown system with a satisfactory degree of accuracy. In the algorithm, the adequate number of fuzzy rules, the adequate number of membership functions of each input variable, and the parameters of membership functions will be determined automatically; in addition, the dummy input variables will be detected and discarded. Finally, several typical examples are illustrated to show the effectiveness of the algorithm.
Based on Kosko's bidirectional associative memories @AM) strategy, a modified bidirectional decoding strategy (MBDS) ! s introduced. With the aid of the augmented correlation matrix M = [ M I M , ] ( or M = ( M T IM,]), the long term memory (LTM) traces Tq (or Tz), and the activating function Gy(.) (or G,(.)), we construct the MBDS such that all given training pairs are guaranteed to be recalled successfully. In this paper, we also illustrate some examples for the comparison between the dummy augmentation method of Wang etal., and our MBDS. It is obvious that the MBDS save much more extra connecting weights than the dummy augmentation method.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.