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Abstract
This paper deals with a class of uncertain Takagi–Sugeno fuzzy delayed systems with nonlinear perturbations. Based on the Gronwall–Bellman inequality, we present the norm equivalent conditions of robust exponential stability for such systems. Namely, if the delay terms and the nonlinear terms can be controlled by the norm of system states, then the robust exponential stability can be achieved. Finally, an example is provided to verify technical feasibility and operability of the developed results.
Acknowledgements
The authors would like to thank the associated editor and the anonymous reviewers for their detailed comments and suggestions. The authors also would like to thank the Organizing Committee of FLINS2010. This work was supported by The Foundation of National Nature Science of China (Grant No. 11071178) and The Fostering Plan for Young and Middle Age Leading Researchers of UESTC (Grant No. Y02018023601033).