Robust control of a class of uncertain nonlinear systems
Systems & Control Letters
Synchronization of chaotic systems from a fuzzy regulation approach
Fuzzy Sets and Systems
IEEE Transactions on Signal Processing
Local synchronization of a complex network model
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics - Special issue on human computing
Brief paper: A unified synchronization criterion for impulsive dynamical networks
Automatica (Journal of IFAC)
IEEE Transactions on Neural Networks
IEEE Transactions on Circuits and Systems Part I: Regular Papers
General impulsive control of chaotic systems based on a TS fuzzy model
Fuzzy Sets and Systems
Stability of impulsive Hopfield neural networks with Markovian switching and time-varying delays
International Journal of Applied Mathematics and Computer Science - Semantic Knowledge Engineering
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
A New Fuzzy Impulsive Control of Chaotic Systems Based on T–S Fuzzy Model
IEEE Transactions on Fuzzy Systems
Hybrid chaos synchronization and its application in information processing
Mathematical and Computer Modelling: An International Journal
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In this paper, global exponential synchronization of Takagi-Sugeno (TS) fuzzy complex dynamical networks with multiple time-varying delays and stochastic perturbations is studied via delayed impulsive distributed control. Both impulsive and continuous parts of the fuzzy model have different multiple time-varying delays, which make the considered model general and practical. A novel lemma on exponential stability of impulsive delayed differential equations was established, in which the impulsive functions exhibit multiple time-varying delays. By utilizing the proposed lemma, Lyapunov functions, the stochastic analysis techniques, and the Kronecker product, general criteria ensuring global exponential synchronization in mean square of the addressed TS fuzzy complex networks are obtained. Moreover, the theory of function minimum value is utilized to reduce the conservativeness of the obtained synchronization criteria, which also makes them simple and easy to be verified in practical applications. Results of this paper improve and extend some existing ones. Numerical simulations including small-world network coupled with time-delayed Lorenz system are given to show the effectiveness of the theoretical results.