Fully-geometric mesh one-leg methods for the generalized pantograph equation: Approximating Lyapunov functional and asymptotic contractivity ☆
Sign Up to like & getrecommendations! Published in 2017 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2017.01.019
Abstract: Abstract Motivated by recent stability results on one-step methods, especially Runge–Kutta methods, for the generalized pantograph equation (GPE), in this paper we study the stability of one-leg multistep methods for these equations since the one-leg… read more here.
Keywords: one leg; lyapunov functional; leg; methods generalized ... See more keywords
Synchronization of delayed memristive neural networks by establishing novel Lyapunov functional
Sign Up to like & getrecommendations! Published in 2019 at "Neurocomputing"
DOI: 10.1016/j.neucom.2019.08.060
Abstract: Abstract This paper inquires into the synchronization for delayed chaotic memristive neural networks. First, a novel criterion is proposed to determine whether a quadratic function is negative or not on a closed interval without regard… read more here.
Keywords: synchronization delayed; neural networks; novel lyapunov; memristive neural ... See more keywords
Stability analysis of delayed neural networks based on a relaxed delay-product-type Lyapunov functional
Sign Up to like & getrecommendations! Published in 2021 at "Neurocomputing"
DOI: 10.1016/j.neucom.2021.01.098
Abstract: Abstract This paper deals with the stability analysis of delayed neural networks. A necessary and sufficient condition for positivity or negativity of the high-order polynomial over a finite interval is derived. An appropriate Lyapunov-Krasovskii functional… read more here.
Keywords: delay product; type lyapunov; stability; product type ... See more keywords