A Riccati equation approach to the stabilization of uncertain linear systems
Automatica (Journal of IFAC)
Stability of Time-Delay Systems
Stability of Time-Delay Systems
New delay-dependent stabilization conditions of T--S fuzzy systems with constant delay
Fuzzy Sets and Systems
Brief paper: New delay-dependent stability criteria for systems with interval delay
Automatica (Journal of IFAC)
New approaches on H∞ control of T--S fuzzy systems with interval time-varying delay
Fuzzy Sets and Systems
Stability and stabilization of delayed T-S fuzzy systems: a delay partitioning approach
IEEE Transactions on Fuzzy Systems
New Lyapunov-Krasovskii functionals for global asymptotic stability of delayed neural networks
IEEE Transactions on Neural Networks
New delay-dependent stability criteria for T--S fuzzy systems with time-varying delay
Fuzzy Sets and Systems
Stabilizing controller design for uncertain nonlinear systems using fuzzy models
IEEE Transactions on Fuzzy Systems
Mixed H2/H∞ fuzzy output feedback control design for nonlinear dynamic systems: an LMI approach
IEEE Transactions on Fuzzy Systems
Decentralized techniques for the analysis and control of Takagi-Sugeno fuzzy systems
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Network-based robust H∞ control of systems with uncertainty
Automatica (Journal of IFAC)
Analysis on passivity and passification of T-S fuzzy systems with time-varying delays
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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This paper focuses on the stability analysis for uncertain Takagi-Sugeno (T-S) fuzzy systems with interval time-varying delay. The uncertainties of system parameter matrices are assumed to be time-varying and norm-bounded. Some new Lyapunov-Krasovskii functionals (LKFs) are constructed by nonuniformly dividing the whole delay interval into multiple segments and choosing different Lyapunov functionals to different segments in the LKFs. By employing these LKFs, some new delay-derivative-dependent stability criteria are established for the nominal and uncertain T-S fuzzy systems in a convex way. These stability criteria are derived that depend on both the upper and lower bounds of the time derivative of the delay. By employing the new delay partitioning approach, the obtained stability criteria are stated in terms of linear matrix inequality (LMI). They are equivalent or less conservative while involving less decision variables than the existing results. Finally, numerical examples are given to illustrate the effectiveness and reduced conservatism of the proposed results.