Results 31 to 40 of about 47,271 (274)
Dynamic multi‐objective optimisation of complex networks based on evolutionary computation
IET Networks, EarlyView., 2022 Abstract As the problems concerning the number of information to be optimised is increasing, the optimisation level is getting higher, the target information is more diversified, and the algorithms are becoming more complex; the traditional algorithms such as particle swarm and differential evolution are far from being able to deal with this situation ...
Linfeng Huang
wiley +1 more source
Нелокальная краевая задача для уравнения с производными дробного порядка с различными началами
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2023 Рассматривается линейное обыкновенное дифференциальное уравнение дробного порядка с композицией лево- и правосторонних операторов дробных производных в главной части.
Энеева, Л.М.
doaj +1 more source
Electronic Research Archive, 2023 We explore the master-slave chaos synchronization of stochastic time-delay Lur'e systems within a networked environment. To tackle the challenges posed by potential mode-mismatch behavior and limited networked channel resources, an asynchronous and ...
Xinling Li +3 more
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On the Lyapunov Type Inequality
Russian Mathematics, 2020 The author's main result concernes an estimate on the zeros of the solutions to a linear equation of the type \[ x''+p(t)x'(t)+q(t)x=0. \] When \(p(t)\) is identically equal to zero, Lyapunov provided the following result: if \(x(t)\) is a solution such that \(x(a)=x(b)=0\) and \(x(t)\ne0\) for every \(t\in(a,b)\), then \[ \int_a^b|q(t)|\,dt\ge\frac{4}{
openaire +4 more sources
Mathematics, 2019 We consider a coupled system of partial differential equations involving Laplacian operator, on a rectangular domain with zero Dirichlet boundary conditions. A Lyapunov-type inequality related to this problem is derived.
Mohamed Jleli, Bessem Samet
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Stability analysis for time delay systems via a generalized double integral inequality
AIMS Mathematics, 2020 This paper proposes a new stability condition for a class of time delay systems. Firstly, a generalized double integral inequality is obtained. Then, a less conservative stability criterion is proposed by using the double integral inequality and choosing
Junkang Tian, Zerong Ren, Shouming Zhong
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Non ultracontractive heat kernel bounds by Lyapunov conditions [PDF]
, 2013 Nash and Sobolev inequalities are known to be equivalent to ultracontractive properties of heat-like Markov semigroups, hence to uniform on-diagonal bounds on their kernel densities.
Bolley, François +2 more
core +3 more sources
On an inequality of Lyapunov [PDF]
Proceedings of the American Mathematical Society, 1969 According to Fink and St. Mary [2] the proof of (2) given in [1] is incorrect, and therefore the inequality is, as yet, undecided. For n = 2 and P2 0, (2) is known to be correct and also the best possible. This case was first proved by Lyapunov and is generally referred to as Lyapunov's theorem.
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Linearly Solvable Stochastic Control Lyapunov Functions [PDF]
, 2016 This paper presents a new method for synthesizing stochastic control Lyapunov functions for a class of nonlinear stochastic control systems. The technique relies on a transformation of the classical nonlinear Hamilton-Jacobi-Bellman partial differential ...
Burdick, Joel W. +2 more
core +3 more sources
Wirtinger-Type Inequality and the Stability Analysis of Delayed Lur'e System
Discrete Dynamics in Nature and Society, 2013 This paper proposes a new delay-depended stability criterion for a class of delayed Lur'e systems with sector and slope restricted nonlinear perturbation.
Zixin Liu +3 more
doaj +1 more source