Results 31 to 40 of about 8,985 (243)
Distributed wireless network resource optimisation method based on mobile edge computing
IET Networks, EarlyView., 2022 This paper mainly compares the network ranking leader, consumption amount and network signal reception of the three algorithms. The study found that in terms of network sort captain, there are significant differences between the CPLEX algorithm, the CCST algorithm, and edge computing methods. The CCST algorithm and edge computing have little difference
Jiongting Jiang +4 more
wiley +1 more source
Lyapunov functionals and stability of stochastic functional differential equations [PDF]
, 2013 Stability conditions for functional differential equations can be obtained using Lyapunov functionals. Lyapunov Functionals and Stability of Stochastic Functional Differential Equations describes the general method of construction of Lyapunov functionals
Shaikhet, Leonid
core +1 more source
Computation and Verification of Lyapunov Functions [PDF]
SIAM Journal on Applied Dynamical Systems, 2015 Summary: Lyapunov functions are an important tool to determine the basin of attraction of equilibria in Dynamical Systems through their sublevel sets. Recently, several numerical construction methods for Lyapunov functions have been proposed, among them the RBF (Radial Basis Function) and CPA (Continuous Piecewise Affine) methods.
Peter Giesl, Sigurdur F. Hafstein
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Construction of Lyapunov-Krasovskii functional for time-varying delay systems [PDF]
, 2008 International audienceThis paper provides some new techniques to construct a Lyapunov-Krasovskii functional for time varying delay systems. The construction is based on a partitioning scheme of the time-varying delay leading to a new type of Lyapunov ...
Gouaisbaut, Frédéric +3 more
core +1 more source
Dissipativity Analysis for Neural Networks with Time-Varying Delays via a Delay-Product-Type Lyapunov Functional Approach [PDF]
, 2021 This article is concerned with the problem of dissipativity and stability analysis for a class of neural networks (NNs) with time-varying delays. First, a new augmented Lyapunov-Krasovskii functional (LKF), including some delay-product-type terms, is ...
Yan, H +4 more
core +1 more source
Advances in Difference Equations, 2019 In this work, the exponential stability problem of impulsive recurrent neural networks is investigated; discrete time delay, continuously distributed delay and stochastic noise are simultaneously taken into consideration.
M. Iswarya +5 more
doaj +1 more source
A discrete logarithmic function and Lyapunov function
JSIAM Letters, 2022 Summary: The Lyapunov function plays an important role in the stability theory of dynamical systems. Its counterpart for discrete dynamical systems is not studied so much, though importance of such systems is increasing. In this letter, an attempt is made to construct a discrete analog of the Lyapunov function for the competitive Lotka-Volterra ...
Isojima, Shin, Suzuki, Seiichiro
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On Vector Lyapunov Functions [PDF]
Proceedings of the American Mathematical Society, 1971 It has been proved that the use of a vector Lyapunov function is more advantageous in certain situations rather than a scalar function. Moreover, each function needs to satisfy less rigid requirements. In this paper a new situation has been considered where vector Lyapunov functions play a further useful role. For this purpose, a new type of stability,
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MANAS: Journal of Engineering, 2021 In this manuscript, we consider the first order neutral Volterra integro-differential equation (NVIDE) with delay argument. Firstly, we obtain novel sufficient conditions to establish the asymptotic behaviours of solutions of considered NVIDE using the ...
Yener Altun
doaj +1 more source
Lyapunov Functionals in Integral Equations
Axioms, 2023 Lyapunov functions/functionals have found their footing in Volterra integro-differential equations. This is not the case for integral equations, and it is therefore further explored in this paper. In this manuscript, we utilize Lyapunov functionals combined with Laplace transform to qualitatively analyze the solutions of the integral equation In ...
Youssef N. Raffoul, Joseph Raffoul
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