Robust stability of uncertain stochastic fuzzy cellular neural networks

Authors:
Huizhong Yang;Li Sheng
Affiliations:
School of Communication and Control Engineering, Jiangnan University, 1800 Lihu Rd., Wuxi, Jiangsu 214122, PR China;School of Communication and Control Engineering, Jiangnan University, 1800 Lihu Rd., Wuxi, Jiangsu 214122, PR China and The Institute for Systems Research University of Maryland, College Park, MD ...
Venue:
Neurocomputing
Year:
2009

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Abstract

Takagi-Sugeno (TS) fuzzy models are often used to describe complex nonlinear systems in terms of fuzzy sets and fuzzy reasoning applied to a set of linear submodels. In this paper, the global robust stability problem of TS fuzzy cellular neural networks with parameter uncertainties and stochastic perturbations is investigated. Based on the Lyapunov method and stochastic analysis approaches, the globally robust asymptotically stable condition is presented in terms of linear matrix inequalities (LMIs), which can be easily solved by some standard numerical packages. A simulation example is provided to illustrate the effectiveness of the proposed criteria.