In this paper, the perturbed continuous-time large-scale system with time delays is represented by an equivalent Takagi-Sugeno type fuzzy model. First, two types of decentralized state feedback controllers are considered in this paper. Based on the Riccati-type inequality, the Razumikhin theorem, and the delay-dependent Lyapunov functional approach, some controller design approaches are propose...

Delay-partitioning approach to stability criteria for T-S fuzzy systems with time-varying delay Fuping Zhou1 and Jun Yang2 1 School of Civil Engineering and Architechture, Southwest University of Science and Technology, Mianyang, Sichuan, 621010, P.R. China, Email: zhoufp [email protected] 2College of Computer Science, Civil Aviation Flight University of China, Guanghan, Sichuan, 618307, P.R. China,...

This paper deals with the asymptotic stability problem of uncertain T-S fuzzy systems with time-varying delay by employing a further improved free-weighting matrix approach. The relationship among the time-varying delay, its upper bound and their difference is taken into account. As a result, some less conservative LMI-based delay-dependent stability criteria are obtained without ignoring any u...

It is shown that the fundamental solution of a hyperbolic partial differential equation with time delay has a natural probabilistic structure, i.e. is approximately Gaussian, as t → ∞. The proof uses ideas from the DeMoivre proof of the Central Limit Theorem. It follows that solutions of the hyperbolic equation look approximately like solutions of a diffusion equation with constant convection a...

Abstract This article studies the Takagi-Sugeno (T-S) fuzzy delayed sampled-data $$\mathcal {H}_\infty $$ H ∞ control problem for a class of intelligent suspension systems with varying vehicle load and frequency-domain constraint. The T-S model is utilized to characteri...