Stability analysis for delayed neural networks based on the augmented Lyapunov-Krasovskii functional with delay-product-type and multiple integral terms
Sign Up to like & getrecommendations! Published in 2020 at "Neurocomputing"
DOI: 10.1016/j.neucom.2020.05.045
Abstract: Abstract This paper studies the stability problem for neural networks with time-varying delay. A novel Lyapunov-Krasovskii functional (LKF) is constructed that contains a delay-product-type (DPT) functional and a multiple-integral-type (MIT) functional. Therein, the DPT functional… read more here.
Keywords: neural networks; lyapunov krasovskii; type; krasovskii functional ... See more keywords
Wirtinger-based multiple integral inequality for stability of time-delay systems
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DOI: 10.1080/00207179.2016.1266516
Abstract: ABSTRACT Note that the conservatism of the delay-dependent stability criteria can be reduced by increasing the integral terms in Lyapunov–Krasovskii functional (LKF). This brief revisits the stability problem for a class of linear time-delay systems… read more here.
Keywords: wirtinger based; delay; delay systems; stability ... See more keywords
A conservative numerical scheme for Rosenau-RLW equation based on multiple integral finite volume method
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DOI: 10.1186/s13661-019-1273-2
Abstract: A multiple integral finite volume method combined and Lagrange interpolation are applied in this paper to the Rosenau-RLW (RRLW) equation. We construct a two-level implicit fully discrete scheme for the RRLW equation. The numerical scheme… read more here.
Keywords: integral finite; finite volume; scheme; numerical scheme ... See more keywords
Some multiple integral inequalities via the divergence theorem
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Inequalities"
DOI: 10.7153/jmi-2020-14-42
Abstract: SOME MULTIPLE INTEGRAL INEQUALITIES VIA THE DIVERGENCE THEOREM SILVESTRU SEVER DRAGOMIR (Communicated by J. Pečarić) Abstract. In this paper, by the use of the divergence theorem, we establish some inequalities for functions defined on closed… read more here.
Keywords: divergence theorem; integral inequalities; divergence; inequalities via ... See more keywords