An Introduction to Stability Analysis of Linguistic Fuzzy Dynamic Systems |
Introduction: For many real-world systems and processes, a mathematical description in the form of differential/difference equations or other conventional models is neither feasible nor practical due to the complexities involved, the time consideration, and the intrinsic nature of the data deficiency. To find a practical way, studies have been done to analyze the model free fuzzy control systems. The fuzzy models come in three main groups; TSK (Takagi-Sugeno-Kang), the linguistic, and the fuzzy relational models (FRMs). Tanaka [t1] proposed a method for stability analysis of the TSK model by finding a common Lyapunov function. Percup, Preitl, and Solyom [p5] used ...
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