Results 111 to 120 of about 2,005 (225)

Stable time periodic solutions for damped Sine-Gordon equations

Electronic Journal of Differential Equations, 2006
We investigate existence and stability of time periodic solutions for damped Sine-Gordon equations with delay under reasonable assumptions. The key-step is constructing suitable Lyapunov functionals and establishing the priori bound for all ...
Jianmin Zhu, Zhixiang Li, Yicheng Liu
doaj  

Degenerate Lyapunov functionals of a well-known prey–predator model with discrete delays

, 1999
It is commonly believed that, as far as stabilities are concerned, ‘small delays are negligible in some modelling processes’. However, to have an affirmative answerfor this common belief is still an open problem for many nonlinear equations.
Xue-Zhong He
core   +1 more source

Stabilization of Hybrid Stochastic McKean–Vlasov Differential Equations by Feedback Control Based on Discrete-Time State Observation

Mathematics
This paper addresses the stabilization problem of hybrid stochastic McKean–Vlasov differential equations via a discrete-time state observation feedback control strategy.
Pengfei Zhao, Haiyan Yuan, Kechao Wang
doaj   +1 more source

Analysis of stochastic SEIR(S) models with random total populations and variable diffusion rates

Electronic Journal of Qualitative Theory of Differential Equations
A stochastic SEIR(S) model with random total population, overall saturation constant $K>0$ and general, local Lipschitz-continuous diffusion rates is presented. We prove the existence of unique, Markovian, continuous time solutions w.r.t.
Henri Schurz, Taniya Chandrasena, Shanika Chandrasena   +2 more
doaj   +1 more source

Note on the Lyapunov functional method

Applied Mathematics Letters, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Lyapunov functionals for output regulation of exponentially stable semigroups via integral action and application to a hyperbolic systems

, 2018
International audienceThe paper deals with output feedback stabilization of exponentially stable systems by integral controllers. We propose appropriate Lyapunov functionals to prove exponential stability of the closed-loop systems.
dos Santos Martins, V, Xu, C.-Z, Terrand-Jeanne, A, Andrieu, Vincent   +3 more
core   +1 more source

Interior feedback stabilization of wave equations with time dependent delay

Electronic Journal of Differential Equations, 2011
We study the stabilization problem by interior damping of the wave equation with boundary or internal time-varying delay feedback in a bounded and smooth domain. By introducing suitable Lyapunov functionals exponential stability estimates are obtained
Serge Nicaise, Cristina Pignotti
doaj  

Complete Quadratic Lyapunov functionals using Bessel-Legendre inequality

, 2014
International audienceThe article is concerned with the stability analysis of time-delay systems using complete- Lyapunov functionals. This class of functionals has been employed in the literature because of their nice properties.
Gouaisbaut, Frédéric, Seuret, Alexandre   +1 more
core   +1 more source

Stabilization of retarded systems of neutral type by control Lyapunov–Krasovskii functionals

, 2016
This paper deals with the stabilization and the practical stabilization of nonlinear systems described by neutral functional differential equations in Hale's form, affine in the control input.
PEPE, PIERDOMENICO
core   +1 more source

Global stability of latency-age/stage-structured epidemic models with differential infectivity. [PDF]

J Math Biol, 2023
Liu X, Chen Y, Li X, Li J.
europepmc   +1 more source