[PDF][PDF] Non-monotonic Lyapunov functions for stability analysis and stabilization of discrete time Takagi-Sugeno fuzzy systems

SF Derakhshan, A Fatehi - Int. J. Innov. Comput. Inf. Control, 2014 - ijicic.org
This paper presents a new approach for the stability analysis and controller synthesis of
discrete-time Takagi-Sugeno fuzzy dynamic systems. In this paper, nonmonotonic Lyapunov …

Stability analysis of Takagi–Sugeno systems using a switched fuzzy Lyapunov function

LJ Elias, FA Faria, R Araujo, VA Oliveira - Information Sciences, 2021 - Elsevier
In this paper, a switched fuzzy Lyapunov function approach is proposed to analyze the
stability of continuous-time Takagi–Sugeno fuzzy systems. The results are established by …

On the continuous-time Takagi–Sugeno fuzzy systems stability analysis

I Zamani, MH Zarif - Applied Soft Computing, 2011 - Elsevier
In this paper, a new approach for the stability analysis of continuous-time Takagi–Sugeno
(TS) fuzzy system is proposed. The universe set is divided to subregions, and piecewise …

[PDF][PDF] New condition of stabilisation for continuous takagi-sugeno fuzzy system based on fuzzy lyapunov function

Y Manai, M Benrejeb - International Journal of Control and …, 2011 - researchgate.net
This paper deals with the stabilisation of continuous Takagi-Sugeno fuzzy models. Using
non-quadratic Lyapunov function, new sufficient stabilization criteria are established in terms …

Novel stability conditions for discrete-time T–S fuzzy systems: A Kronecker-product approach

J Chen, S Xu, B Zhang, Z Qi, Z Li - Information Sciences, 2016 - Elsevier
This paper is concerned with the issue of developing a novel strategy to reduce the
conservatism of stability conditions for discrete-time Takagi–Sugeno (T–S) fuzzy systems …

An approach for stability analysis of TS fuzzy systems via piecewise quadratic stability

I Zamani, MH Zarif - … Journal of Innovative Computing, Information and …, 2010 - ijicic.org
This paper presents a new approach for the stability analysis of Takagi-Sugeno (TS) fuzzy
systems. An idea is investigated to use piecewise quadratic Lyapunov function with low …

Improvement on nonquadratic stabilization of discrete-time Takagi–Sugeno fuzzy systems: Multiple-parameterization approach

DH Lee, JB Park, YH Joo - IEEE Transactions on Fuzzy …, 2010 - ieeexplore.ieee.org
This paper presents the relaxed nonquadratic stabilization conditions of discrete-time Takagi-
Sugeno (TS) fuzzy systems. To do this, we propose a new fuzzy controller and Lyapunov …

Stability analysis of discrete-time fuzzy dynamic systems based on piecewise Lyapunov functions

G Feng - IEEE Transactions on Fuzzy Systems, 2004 - ieeexplore.ieee.org
This paper presents a stability analysis method for discrete-time Takagi-Sugeno fuzzy
dynamic systems based on a piecewise smooth Lyapunov function. It is shown that the …

A systematic approach to improve multiple Lyapunov function stability and stabilization conditions for fuzzy systems

LA Mozelli, RM Palhares, GSC Avellar - Information Sciences, 2009 - Elsevier
This paper presents a systematic approach for decreasing conservativeness in stability
analysis and control design for Takagi–Sugeno (TS) systems. This approach is based on the …

Relaxed stability criteria for discrete-time Takagi–Sugeno fuzzy systems via new augmented nonquadratic Lyapunov functions

XP Xie, SL Hu - Neurocomputing, 2015 - Elsevier
The problem of relaxed stability analysis of discrete-time Takagi–Sugeno fuzzy systems is
investigated in this paper. Different from those existing results in the literature that are only …