scholarly journals Exponential Stability for a Nonlinear Timoshenko System with Distributed Delay

2021 ◽  
Keyword(s):  
Exponential Stability ◽  
Distributed Delay ◽  
Timoshenko System

scholarly journals A perspective on graph theory-based stability analysis of impulsive stochastic recurrent neural networks with time-varying delays

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
M. Iswarya ◽  
R. Raja ◽  
G. Rajchakit ◽  
J. Cao ◽  
J. Alzabut ◽  
...  
Keyword(s):  
Neural Networks ◽  
Graph Theory ◽  
Exponential Stability ◽  
Recurrent Neural Networks ◽  
Lyapunov Functional ◽  
Large Scale ◽  
Sufficient Conditions ◽  
Distributed Delay ◽  
Theoretic Approach ◽  
Discrete Time Delay

AbstractIn 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. In order to guarantee the exponential stability of our considered recurrent neural networks, two distinct types of sufficient conditions are derived on the basis of the Lyapunov functional and coefficient of our given system and also to construct a Lyapunov function for a large scale system a novel graph-theoretic approach is considered, which is derived by utilizing the Lyapunov functional as well as graph theory. In this approach a global Lyapunov functional is constructed which is more related to the topological structure of the given system. We present a numerical example and simulation figures to show the effectiveness of our proposed work.

scholarly journals On the System of Coupled Nondegenerate Kirchhoff Equations with Distributed Delay: Global Existence and Exponential Decay

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Abdelbaki Choucha ◽  
Salah Mahmoud Boulaaras ◽  
Djamel Ouchenane ◽  
Salem Alkhalaf ◽  
Ibrahim Mekawy ◽  
...  
Keyword(s):  
Global Existence ◽  
Exponential Stability ◽  
Galerkin Method ◽  
Exponential Decay ◽  
Energy Method ◽  
Existence Of Solutions ◽  
Distributed Delay ◽  
Stability Result ◽  
Kirchhoff Equations ◽  
Global Existence Of Solutions

This paper studies the system of coupled nondegenerate viscoelastic Kirchhoff equations with a distributed delay. By using the energy method and Faedo-Galerkin method, we prove the global existence of solutions. Furthermore, we prove the exponential stability result.

scholarly journals Exponential stabilty for a Timoshenko system with nonlocal delay

2020 ◽  
Vol 21 (3) ◽  
pp. 395
Author(s):  
C. A. S. Nonato ◽  
C. A. Raposo ◽  
H. H. Nguyen
Keyword(s):  
Linear Operator ◽  
Exponential Stability ◽  
Well Posedness ◽  
Timoshenko System ◽  
Nonlocal Delay

The purpose of this paper is to study  the Timoshenko system with nonlocal time-delayed condition. The well-posedness is proved  by Hille-Yosida theorem. Exploring  the  dissipative properties of the linear operator associated to full damped model, we obtain the exponential stability by using Gearhart-Huang-Prüss theorem.

Exponential Stability of the Energy of the Wave Equation with Variable Coefficients and a Boundary Distributed Delay

2014 ◽  
Vol 69 (10-11) ◽  
pp. 547-552 ◽  
Author(s):  
Wenjun Liu
Keyword(s):  
Wave Equation ◽  
Exponential Stability ◽  
Space Variable ◽  
Distributed Delay ◽  
Variable Coefficients ◽  
Point Of View ◽  
Geometry Method ◽  
Riemannian Geometry Method ◽  
Evolution Systems ◽  
Energy Argument

AbstractIn this paper, we consider a wave equation with space variable coefficients. Due to physical considerations, a distributed delay damping is acted on the part of the boundary. Under suitable assumptions, we prove the exponential stability of the energy based on the use of Riemannian geometry method, the perturbed energy argument, and some observability inequalities. From the applications point of view, our results may provide some qualitative analysis and intuition for the researchers in fields such as engineering, biophysics, and mechanics. And the method is rather general and can be adapted to other evolution systems with variable coefficients (e. g. elasticity plates) as well.

scholarly journals A new perspective of exponential stability for Timoshenko systems under history and thermal effects1

2021 ◽  
pp. 1-32
Author(s):  
Marcio A. Jorge Silva ◽  
Sandro B. Pinheiro
Keyword(s):  
Exponential Stability ◽  
Thermal Effects ◽  
Viscoelastic Problem ◽  
Timoshenko System ◽  
Uniform Exponential Stability ◽  
The Subject ◽  
New Perspective ◽  
The Stability ◽  
Timoshenko Systems ◽  
With Memory

We address a Timoshenko system with memory in the history context and thermoelasticity of type III for heat conduction. Our main goal is to prove its uniform (exponential) stability by illustrating carefully the sensitivity of the heat and history couplings on the Timoshenko system. This investigation contrasts previous insights on the subject and promotes a new perspective with respect to the stability of the thermo-viscoelastic problem carried out, by combining the whole strength of history and thermal effects.

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