Results 161 to 170 of about 2,341,083 (234)
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Mathematics and Computers in Simulation, 2020
In this article, a new integral inequality based on a free-matrix for bounding the integral ∫ a b x T ( u ) R x ( u ) d u has been proposed. The new inequality and appropriated Lyapunov–Krasovskii functional play key roles for deriving finite-time ...
Jirapong Puangmalai +2 more
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In this article, a new integral inequality based on a free-matrix for bounding the integral ∫ a b x T ( u ) R x ( u ) d u has been proposed. The new inequality and appropriated Lyapunov–Krasovskii functional play key roles for deriving finite-time ...
Jirapong Puangmalai +2 more
semanticscholar +1 more source
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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Applied Mathematics and Computation, 2019
In this paper, we prove the Hyers-Ulam stability and the Hyers-Ulam-Rassias stability of a class of higher order nonlinear delay differential equations with multiple bounded variable delays on a compact interval.
A. Zada, Wajid Ali, Choonkill Park
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In this paper, we prove the Hyers-Ulam stability and the Hyers-Ulam-Rassias stability of a class of higher order nonlinear delay differential equations with multiple bounded variable delays on a compact interval.
A. Zada, Wajid Ali, Choonkill Park
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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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Generalized integral Niezgoda’s inequalities
Asian-European Journal of Mathematics, 2022In this paper, we give generalizations followed by refinements of the integral version of Niezgoda’s inequality in several different ways by using weights, functions with nondecreasing increments and isotonic linear functionals.
M. Maqsood Ali, Asif R. Khan
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Applied Mathematics and Computation, 2019
Delay-dependent stability analysis of linear systems with a time-varying delay is investigated in this paper. Firstly, instead of developing a Lyapunov–Krasovskii functional (LKF) including augmented non-integral quadratic terms as usual, this paper ...
Fei Long, Lin Jiang, Yong He, Min Wu
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Delay-dependent stability analysis of linear systems with a time-varying delay is investigated in this paper. Firstly, instead of developing a Lyapunov–Krasovskii functional (LKF) including augmented non-integral quadratic terms as usual, this paper ...
Fei Long, Lin Jiang, Yong He, Min Wu
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Journal of the Franklin Institute, 2019
This paper is concerned with the stability analysis of time-delay systems. Lyapunov–Krasovskii functional method is utilized to obtain stability criteria in the form of linear matrix inequalities. The main purpose is to obtain less conservative stability
Bin Wu, Chang-long Wang
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This paper is concerned with the stability analysis of time-delay systems. Lyapunov–Krasovskii functional method is utilized to obtain stability criteria in the form of linear matrix inequalities. The main purpose is to obtain less conservative stability
Bin Wu, Chang-long Wang
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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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Neural Networks, 2018
This paper is concerned with the problem of passivity for uncertain neural networks with time-varying delays. First, the recently developed integral inequality called generalized free-matrix-based integral inequality is extended to estimate further tight
Myeongjin Park, O. Kwon, Ji-Hyoung Ryu
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This paper is concerned with the problem of passivity for uncertain neural networks with time-varying delays. First, the recently developed integral inequality called generalized free-matrix-based integral inequality is extended to estimate further tight
Myeongjin Park, O. Kwon, Ji-Hyoung Ryu
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Journal of the Franklin Institute, 2018
This paper deals with the problem of delay-dependent stability analysis for neural networks with time-varying delays. First, by constructing an augmented Lyapunov–Krasovskii functional and utilizing a generalized free-weighting matrix integral inequality,
Myeongjin Park +3 more
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This paper deals with the problem of delay-dependent stability analysis for neural networks with time-varying delays. First, by constructing an augmented Lyapunov–Krasovskii functional and utilizing a generalized free-weighting matrix integral inequality,
Myeongjin Park +3 more
semanticscholar +1 more source