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A T-S fuzzy model-based adaptive exponential synchronization method for uncertain delayed chaotic systems: an LMI approach. (English) Zbl 1216.93070

The author studies chaotic linear systems of differential equations with time delay and a bias term generated by a fuzzy modeling procedure. Based on the Lyapunov-Krasovskii stability theory and linear matrix inequalities, an adaptive synchronization controller is constructed. A numerical example for a time-delayed Lorenz system is presented.

MSC:

93C42 Fuzzy control/observation systems
93-02 Research exposition (monographs, survey articles) pertaining to systems and control theory
93C40 Adaptive control/observation systems
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior

Software:

LMI toolbox
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Full Text: DOI EuDML

References:

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