Robust exponential stabilization of stochastic coupled T‐S fuzzy complex networks subject to state‐dependent impulsive control. (3rd January 2023)

• Record Type: Journal Article
• Authors: Cao, Zhengran; Li, Chuandong; Zhang, Xiaoyu; Yang, Xujun
• Is Part Of: International journal of robust and nonlinear control. Volume 33:Number 5(2023)
• Page Start: 3334
• Page End: 3357
• Publication Date: 2023-01-03
• Subjects: B‐equivalent approach -- complex networks -- robust stabilization -- T‐S fuzzy model -- state‐dependent impulsive control; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.6581
• Languages: English
• ISSNs: 1049-8923

Abstract

Abstract: The problem of robust exponential stabilization for T‐S fuzzy stochastic dynamical networks (T‐S FSDNs) based on the state‐dependent impulsive controller is investigated in the paper. Using B‐equivalence approach, some sufficient conditions are provided such that every solution of considered systems intersects each impulsive surface exactly once. Then, combining with the inequality technique and comparison principle, some meaningful sufficient criteria are obtained to ensure the mean square stability of T‐S fuzzy stochastic dynamical networks. Compared to related results, the results obtained in the paper are low conservatism and easy to verify. Finally, two numerical simulations based on R ö $$ \ddot{o} $$ ssler's system and Lorenz system show the effectiveness of the obtained theoretical results.