Synchronization of chaotic systems from a fuzzy regulation approach
Fuzzy Sets and Systems
Observer-based relaxed H∞ control for fuzzy systems using a multiple Lyapunov function
IEEE Transactions on Fuzzy Systems
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Sum-of-squares-based stability analysis of polynomial fuzzy-model-based control systems
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
A way to escape from the quadratic framework
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Quadratic stability analysis of fuzzy control systems using stepwise membership functions
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Polynomial fuzzy models for nonlinear control: a Taylor series approach
IEEE Transactions on Fuzzy Systems
SOS-based stability analysis of polynomial fuzzy control systems via polynomial membership functions
SMC'09 Proceedings of the 2009 IEEE international conference on Systems, Man and Cybernetics
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Relaxed stabilization conditions for continuous-time Takagi-Sugeno fuzzy control systems
Information Sciences: an International Journal
Generalized nonquadratic stability of continuous-time Takagi-Sugeno models
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Information Sciences: an International Journal
Non-quadratic local stabilization for continuous-time Takagi--Sugeno models
Fuzzy Sets and Systems
Information Sciences: an International Journal
Information Sciences: an International Journal
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This correspondence presents a relaxation of some earlier linear matrix inequality (LMI) conditions, which allow setting up less conservative stability or performance conditions for Takagi-Sugeno fuzzy models. Unlike the previous literature, this correspondence takes into account the knowledge of the membership functions' shape by considering bounds on them and their cross products (interpreted as an overlap measure), introducing auxiliary LMI variables. Numerical examples illustrate the achieved improvements