Analysis on robust passivity of uncertain neural networks with time-varying delays via free-matrix-based integral inequality
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Control, Automation and Systems"
DOI: 10.1007/s12555-016-0315-0
Abstract: This paper investigates the robust delay-dependent passivity problem of neural networks (NNs) with time-varying delays and parameter uncertainties. A suitable augmented Lyapunov-Krasovskii functional (LKF) with triple integral term, which takes full use of the neuron… read more here.
Keywords: neural networks; varying delays; time varying; passivity ... See more keywords
Synchronization for memristive chaotic neural networks using Wirtinger-based multiple integral inequality
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Machine Learning and Cybernetics"
DOI: 10.1007/s13042-016-0626-8
Abstract: This paper investigates the synchronization problem for a class of memristive chaotic neural networks with time-varying delays. Based on te Wirtinger-based double integral inequality, two novel inequalities are proposed, which are multiple integral forms of… read more here.
Keywords: neural networks; memristive chaotic; integral inequality; inequality ... See more keywords
Stability analysis of time-delay systems via free-matrix-based double integral inequality
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Systems Science"
DOI: 10.1080/00207721.2016.1177132
Abstract: ABSTRACT Based on the free-weighting matrix and integral-inequality methods, a free-matrix-based double integral inequality is proposed in this paper, which includes the Wirtinger-based double integral inequality as a special case. By introducing some free matrices… read more here.
Keywords: based double; matrix based; free matrix; integral inequality ... See more keywords
Stability Analysis for Delayed Neural Networks With an Improved General Free-Matrix-Based Integral Inequality
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Transactions on Neural Networks and Learning Systems"
DOI: 10.1109/tnnls.2019.2909350
Abstract: 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 $m$ . Compared with the conventional FMB… read more here.
Keywords: inequality; neural networks; stability; integral inequality ... See more keywords
Equivalent Property of a Hilbert-Type Integral Inequality Related to the Beta Function in the Whole Plane
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Function Spaces"
DOI: 10.1155/2018/2691816
Abstract: By means of the technique of real analysis and the weight functions, a few equivalent statements of a Hilbert-type integral inequality with the nonhomogeneous kernel in the whole plane are obtained. The constant factor related… read more here.
Keywords: type integral; hilbert type; integral inequality; function ... See more keywords
A Hilbert-type fractal integral inequality and its applications
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-017-1360-9
Abstract: By using thefractal theory and the methods of weight function, a Hilbert-type fractal integral inequality and its equivalent form are given. Their constant factors are proved being the best possible, and their applications are discussed… read more here.
Keywords: hilbert type; integral inequality; applications hilbert; type fractal ... See more keywords
A Hilbert-type integral inequality under configuring free power and its applications
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-019-2039-1
Abstract: By using the method of weight function, the technique of real analysis, and the theory of special functions, a multi-parameter Hilbert-type integral inequality and its equivalent form are established, and their constant factors are proved… read more here.
Keywords: hilbert type; type integral; inequality configuring; applications hilbert ... See more keywords
A reverse Hardy–Hilbert-type integral inequality involving one derivative function
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-020-02528-0
Abstract: In this article, by using weight functions, the idea of introducing parameters, the reverse extended Hardy–Hilbert integral inequality and the techniques of real analysis, a reverse Hardy–Hilbert-type integral inequality involving one derivative function and the… read more here.
Keywords: hilbert type; hardy hilbert; integral inequality; reverse hardy ... See more keywords
On a New Integral Inequality: Generalizations and Applications
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DOI: 10.3390/axioms11090458
Abstract: In this paper, we present some generalizations and improvements of a new integral inequality from the 29th IMC in 2022. Some applications of our new results are also provided. read more here.
Keywords: new integral; generalizations applications; inequality generalizations; integral inequality ... See more keywords
A New Hardy–Hilbert-Type Integral Inequality Involving One Multiple Upper Limit Function and One Derivative Function of Higher Order
Sign Up to like & getrecommendations! Published in 2023 at "Axioms"
DOI: 10.3390/axioms12050499
Abstract: Using weight functions and parameters, as well as applying real analytic techniques, we derive a new Hardy–Hilbert-type integral inequality with the homogeneous kernel 1(x+y)λ+n involving one multiple upper limit function and one derivative function of… read more here.
Keywords: function; new hardy; hilbert type; integral inequality ... See more keywords
Stability Analysis of Delayed Neural Networks via Composite-Matrix-Based Integral Inequality
Sign Up to like & getrecommendations! Published in 2023 at "Mathematics"
DOI: 10.3390/math11112518
Abstract: This paper revisits the problem of stability analyses for neural networks with time-varying delay. A composite-matrix-based integral inequality (CMBII) is presented, which takes the delay derivative into account. In this case, the coupling information can… read more here.
Keywords: neural networks; matrix based; integral inequality; based integral ... See more keywords