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Stability and Stabilization of T–S Fuzzy Time-Delay System via Relaxed Integral Inequality and Dynamic Delay Partition

IEEE transactions on fuzzy systems, 2021
This article investigates delay-dependent stability analysis and stabilization for continuous Takagi–Sugeno fuzzy systems with a time-varying delay. By employing dynamic delay partition, the delay interval $[0, d(t)]$ is partitioned into some variable ...
Gang Wang, Liang Jia, Hua-guang Zhang
semanticscholar   +1 more source

Stability Analysis for Delayed Neural Networks With an Improved General Free-Matrix-Based Integral Inequality

IEEE Transactions on Neural Networks and Learning Systems, 2020
This paper revisits the problem of stability analysis for neural networks with a time-varying delay. An improved general free-matrix-based (FMB) integral inequality is proposed with an undetermined number $m$ .
Jun Chen, Ju H. Park, Shengyuan Xu
semanticscholar   +1 more source

Novel Finite-Time Synchronization Criteria for Inertial Neural Networks With Time Delays via Integral Inequality Method

IEEE Transactions on Neural Networks and Learning Systems, 2019
In this paper, we are concerned with the finite-time synchronization of a class of inertial neural networks with time delays. Without applying some finite-time stability theorems, which are widely applied to studying the finite-time synchronization for ...
Zhengqiu Zhang, Jinde Cao
semanticscholar   +1 more source

On an integral inequality

Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1977
The general integral inequality with which this paper is concerned is [J ∞ a {p(x)f'(x) 2 +q(x)f(x)2}dx] 2 <K(p,q)J ∞ a f(x) 2 dxJ ∞ a {(p(x)f'(x))'-q(x)f(x)}
W. N. Everitt, D. S. Jones
openaire   +2 more sources

Global Exponential Stability of Delayed Neural Networks Based on a New Integral Inequality

IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2019
This paper focuses on the problem of exponential stability for a class of neural networks with time-varying delays. A more general inequality is established which extends the auxiliary function-based integral inequality.
Yajuan Liu, Ju H. Park, F. Fang
semanticscholar   +1 more source

Global Asymptotic Stability for Delayed Neural Networks Using an Integral Inequality Based on Nonorthogonal Polynomials

IEEE Transactions on Neural Networks and Learning Systems, 2018
This brief is concerned with global asymptotic stability of a neural network with a time-varying delay. First, by introducing an auxiliary vector with some nonorthogonal polynomials, a slack-matrix-based integral inequality is established, which includes
Xianming Zhang   +4 more
semanticscholar   +1 more source

On an integral inequality

Mathematical Notes of the Academy of Sciences of the USSR, 1969
The author proves the following analogue to a well-known result of Hardy and Littlewood [\textit{G. H. Hardy, J. E. Littlewood} and \textit{G. Pólya} [Inequalities. 2nd ed. Cambridge: At the University Press (1952; Zbl 0047.05302), Theorem 382]. Let \(p, q, r, s, t\) be positive numbers such that \(q>1\), \(1/p+1/q>1\), and either (i) \(11\). If \(u=(2-
openaire   +3 more sources

Stability analysis of systems via a new double free-matrix-based integral inequality with interval time-varying delay

International Journal of Systems Science, 2019
This paper investigates the problem of delay-dependent stability analysis for systems with interval time-varying delay. By means of a new double free-matrix-based integral inequality and augmented Lyapunov–Krasovskii functionals containing as much ...
Wenbin Chen, Fang Gao
semanticscholar   +1 more source

Two integral inequalities

Israel Journal of Mathematics, 1971
Let (X, S, μ) and (Y, T, ν) be two measure spaces,K(g)=∫ Y k(x,y)g(y)dv(y) ξ +=max (ξ,0), and $$\delta (K) = \sup _{x_1 ,x_2 \in X} \int {{}_Y(k(x_1 } y) - (k(x_2 ,y))^ + dv(y)$$
J. R. Blum   +3 more
openaire   +2 more sources

Nonfragile stabilization for uncertain system with interval time‐varying delays via a new double integral inequality

Mathematical methods in the applied sciences, 2018
In this paper, the problem of nonfragile stabilization for uncertain systems with interval time‐varying delays via new double integral inequality approach is studied.
R. Samidurai   +3 more
semanticscholar   +1 more source

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