[LIBRO][B] Dynamic inequalities on time scales

R Agarwal, D O'Regan, S Saker - 2014 - Springer
Ravi Agarwal · Donal O'Regan Samir Saker Page 1 Ravi Agarwal · Donal O'Regan Samir
Saker Dynamic Inequalities On Time Scales Page 2 Dynamic Inequalities On Time Scales …

Exponential stability of continuous-time and discrete-time cellular neural networks with delays

S Mohamad, K Gopalsamy - Applied Mathematics and Computation, 2003 - Elsevier
Convergence characteristics of continuous-time cellular neural networks with discrete
delays are studied. By using Lyapunov functionals, we obtain delay independent sufficient …

Stability analysis of stochastic delayed systems with an application to multi-agent systems

X Wu, Y Tang, W Zhang - IEEE Transactions on Automatic …, 2016 - ieeexplore.ieee.org
This technical note is concerned with the stability problem of stochastic delayed systems by
using a more general Halanay-type inequality with time-varying coefficients. A new …

[HTML][HTML] Exponential stability in p-th mean of solutions, and of convergent Euler-type solutions, of stochastic delay differential equations

CTH Baker, E Buckwar - Journal of Computational and Applied …, 2005 - Elsevier
One concept of the stability of a solution of an evolutionary equation relates to the sensitivity
of the solution to perturbations in the initial data; there are other stability concepts, notably …

Impulsive delay differential inequality and stability of neural networks

D Xu, Z Yang - Journal of Mathematical Analysis and Applications, 2005 - Elsevier
In this article, a generalized model of neural networks involving time-varying delays and
impulses is considered. By establishing the delay differential inequality with impulsive initial …

Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks

S Mohamad - Physica D: Nonlinear Phenomena, 2001 - Elsevier
Convergence dynamics of continuous-time bidirectional neural networks with constant
transmission delays are studied. Without assuming the symmetry of synaptic connection …

Synchronization of multi-agent systems with time-varying control and delayed communications

Q Jia, Z Han, WKS Tang - … on Circuits and Systems I: Regular …, 2019 - ieeexplore.ieee.org
This paper investigates the synchronization problem of nonlinear multi-agent systems with
time-varying control in the presence of transmission delay over a communication network …

[HTML][HTML] Retarded differential equations

CTH Baker - Journal of Computational and Applied Mathematics, 2000 - Elsevier
Retarded differential equations (RDEs) are differential equations having retarded
arguments. They arise in many realistic models of problems in science, engineering, and …

The exponential asymptotic stability of singularly perturbed delay differential equations with a bounded lag

H Tian - Journal of Mathematical Analysis and Applications, 2002 - Elsevier
This paper is concerned with the exponential stability of singularly perturbed delay
differential equations with a bounded (state-independent) lag. A generalized Halanay …

Generalized Halanay inequalities and their applications to neural networks with unbounded time-varying delays

B Liu, W Lu, T Chen - IEEE transactions on neural networks, 2011 - ieeexplore.ieee.org
In this brief, we discuss some variants of generalized Halanay inequalities that are useful in
the discussion of dissipativity and stability of delayed neural networks, integro-differential …