Results 71 to 80 of about 841 (156)
STABILITY OF NEURAL NETWORKS WITH RANDOM IMPULSES
Dynamic systems and applications, 2018 One of the main properties of solutions of neural networks is stability and often the direct Lyapunov method is used to study stability properties. We consider the Hopfield’s graded response neural network in the case when the neurons are subject to a ...
S. Hristova, P. Kopanov
semanticscholar +1 more source
On (h0, h)‐stability of autonomous systems
International Journal of Stochastic Analysis, Volume 5, Issue 4, Page 331-337, 1992., 1992 In this paper, we discuss the qualitative behavior of a map h along solutions of an autonomous system whose initial values are measured by a second map h0. By doing this, we may deal with, in a unified way, several concepts and associated problems, which are usually considered separately. Five theorems on asymptotic stability are given and two examples
Xinzhi Liu
wiley +1 more source
On the minimum exit rate for a diffusion process pertaining to a chain of distributed control systems with random perturbations [PDF]
, 2014 In this paper, we consider the problem of minimizing the exit rate with which a diffusion process pertaining to a chain of distributed control systems, with random perturbations, exits from a given bounded open domain.
Getachew K. Befekadu +2 more
core
Halanay type inequalities on time scales with applications
, 2011 This paper aims to introduce Halanay type inequalities on time scales. By means of these inequalities we derive new global stability conditions for nonlinear dynamic equations on time scales. Giving several examples we show that beside generalization and
Adıvar, Murat, Bohner, Elvan Akın
core +1 more source
A note on stability of the vertical uniform rotations of the heavy top
, 2012 We prove that the stability problem of a vertical uniform rotation of a heavy top is completely solved by using the linearization method and the conserved quantities of the differential system which describe the rotation of the heavy ...
Comanescu, Dan
core +1 more source
Some nonlinear inequalities and applications [PDF]
, 2010 Sufficient conditions are given for the relation $\lim_{t\to\infty}y(t) = 0$ to hold, where $y(t)$ is a continuous nonnegative function on $[0,1)$ satisfying some nonlinear inequalities.
Hoang, N. S., Ramm, A. G.
core +4 more sources
Stability of equilibrium states in the Zhukovski case of heavy gyrostat using algebraic methods
, 2011 We study the stability of the equilibrium points of a skew product system. We analyze the possibility to construct a Lyapunov function using a set of conserved quantities and solving an algebraic system.
Aeyels +11 more
core +1 more source
, 2016 The main purpose of this work is to investigate the qualitative behavior of an HIV dynamics model with two types of cocirculating target cells. The model takes into account both short-lived and long lived chronically infected cells.
A. Elaiw, N. Almuallem
semanticscholar +1 more source
, 2014 The positive stability and D-stability of singular M-matrices, perturbed by (non-trivial) nonnegative rank one perturbations, is investigated. In special cases positive stability or D-stability can be established. In full generality this is not the case,
Bierkens, Joris, Ran, André
core +2 more sources
On Lr-norm-based derivatives and fuzzy Henstock-Kurzweil integrals with an application
Alexandria Engineering Journal, 2023 The fundamental theorem of calculus not only plays an important role in the study of differential equation theory, but also in many practical problems solving.
Yabin Shao, Yubing Li, Zengtai Gong
doaj +1 more source