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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
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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
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Global Exponential Stability of Delayed Neural Networks Based on a New Integral Inequality
IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2019This 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
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Repeated Integral Inequalities
IMA Journal of Numerical Analysis, 1984The purpose of this paper is to present the following linear generalization of Gronwall's inequality: Let the function x be continuous and non-negative on the interval [0,T]. If \[ x(t)\leq \Phi (t)+M\int^{t}_{0}\int^{t_ m}_{0}...\int^{t_ 1}_{0}[x(s)/(t_ 1-s)^{\alpha}]ds dt_ 1...dt_ m,\quad t\in [0,T], \] where \(\alpha 0\) is constant, and \(\Phi\) (t)
Dixon, Jennifer, McKee, Sean
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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
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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
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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
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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
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Symmetrization and Integral Inequalities
Mathematical Notes, 2023This paper offers a comprehensive investigation into Steiner symmetrizations applied to anisotropic integral functionals within the multivariate calculus of variations, with a specific focus on functions belonging to the Sobolev class and characterized by compact support.
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Inequalities for a Multiple Integral
Acta Mathematica Hungarica, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
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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
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Steffensen's Integral Inequality for the Sugeno Integral
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2014In this paper we consider Steffensen's integral inequality for the Sugeno integral [Formula: see text] where f is a nonincreasing and convex function defined on [0, 1] with f(0) = 1, f(1) = 0 and g is a nonincreasing function defined on [0, 1] where 0 ≤ g(t) ≤ 1 for all t ∈ [a, b] with [Formula: see text]
Hong, Dug Hun +2 more
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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)}
Everitt, W. N., Jones, D. S.
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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)}
Everitt, W. N., Jones, D. S.
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