Stability Analysis of Interconnected Fuzzy Systems Using the Fuzzy Lyapunov Method | Zendy

Ken Yeh | Zendy; ChengWu Chen | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Stability Analysis of Interconnected Fuzzy Systems Using the Fuzzy Lyapunov Method

Author(s) -

Ken Yeh,

ChengWu Chen

Publication year - 2010

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2010/734340

Subject(s) - lyapunov function , mathematics , fuzzy logic , fuzzy control system , stability (learning theory) , control theory (sociology) , stability theory , lyapunov equation , mathematical optimization , computer science , nonlinear system , artificial intelligence , machine learning , control (management) , physics , quantum mechanics

The fuzzy Lyapunov method is investigated for use with a class of interconnected fuzzy systems. The interconnected fuzzy systems consist of J interconnected fuzzy subsystems, and the stability analysis is based on Lyapunov functions. Based on traditional Lyapunov stability theory, we further propose a fuzzy Lyapunov method for the stability analysis of interconnected fuzzy systems. The fuzzy Lyapunov function is defined in fuzzy blending quadratic Lyapunov functions. Some stability conditions are derived through the use of fuzzy Lyapunov functions to ensure that the interconnected fuzzy systems are asymptotically stable. Common solutions can be obtained by solving a set of linear matrix inequalities (LMIs) that are numerically feasible. Finally, simulations are performed in order to verify the effectiveness of the proposed stability conditions in this paper

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research