Results 31 to 40 of about 8,492 (262)

Global asymptotic stability in discrete systems

Journal of Mathematical Analysis and Applications, 1989
Global asymptotic stability results are given for difference equations \(x_{i+1}=T(x_ i)\) where \(T: {\mathbb{R}}^ n\to {\mathbb{R}}^ n\) is continuous.
Wu, Jinn-Wen, Brown, David P
openaire   +1 more source

Existence and Global Uniform Asymptotic Stability of Almost Periodic Solutions for Cellular Neural Networks with Discrete and Distributed Delays

Journal of Applied Mathematics, 2013
This paper discusses the existence and global uniform asymptotic stability of almost periodic solutions for cellular neural networks (CNNS). By utilizing the theory of the almost periodic differential equation and the Lyapunov functionals method, some ...
Zongyi Hou, Hongying Zhu, Chunhua Feng
doaj   +1 more source

Lyapunov stability analysis for nonlinear delay systems under random effects and stochastic perturbations with applications in finance and ecology

Advances in Difference Equations, 2021
This manuscript is involved in the study of stability of the solutions of functional differential equations (FDEs) with random coefficients and/or stochastic terms.
Abdulwahab Almutairi, H. El-Metwally, M. A. Sohaly, I. M. Elbaz   +3 more
doaj   +1 more source

Global Asymptotic Stability of Impulsive CNNs with Proportional Delays and Partially Lipschitz Activation Functions

Abstract and Applied Analysis, 2014
This paper researches global asymptotic stability of impulsive cellular neural networks with proportional delays and partially Lipschitz activation functions.
Xueli Song, Jigen Peng
doaj   +1 more source

The Neimark–Sacker Bifurcation and Global Stability of Perturbation of Sigmoid Beverton–Holt Difference Equation

Discrete Dynamics in Nature and Society, 2021
We present the bifurcation results for the difference equation xn+1=xn2/axn2+xn−12+f where a and f are positive numbers and the initial conditions x−1 and x0 are nonnegative numbers.
M. R. S. Kulenović, Connor O’Loughlin, E. Pilav   +2 more
doaj   +1 more source

Lyapunov constraints and global asymptotic stabilization

Journal of Geometric Mechanics, 2011
In this paper, we develop a method for stabilizing underactuated mechanical systems by imposing kinematic constraints (more precisely Lyapunov constraints). If these constraints can be implemented by actuators, i.e., if there exists a related constraint force exerted by the actuators, then the existence of a Lyapunov function for the system under ...
Grillo, Sergio, Marsden, Jerrold, Nair, Sujit   +2 more
openaire   +3 more sources

Permanence and Extinction for a Nonautonomous Malaria Transmission Model with Distributed Time Delay

Journal of Applied Mathematics, 2014
We study the permanence, extinction, and global asymptotic stability for a nonautonomous malaria transmission model with distributed time delay. We establish some sufficient conditions on the permanence and extinction of the disease by using inequality ...
Xiaohong Zhang, Jianwen Jia, Xinyu Song
doaj   +1 more source

Global Asymptotic Stability and Naimark-Sacker Bifurcation of Certain Mix Monotone Difference Equation

Discrete Dynamics in Nature and Society, 2018
We investigate the global asymptotic stability of the following second order rational difference equation of the form xn+1=Bxnxn-1+F/bxnxn-1+cxn-12,  n=0,1,…, where the parameters B, F, b, and c and initial conditions x-1 and x0 are positive real numbers.
M. R. S. Kulenović, S. Moranjkić, M. Nurkanović, Z. Nurkanović   +3 more
doaj   +1 more source

Strong cellularity and global asymptotic stability [PDF]

Fundamenta Mathematicae, 1991
A closed subset \(C\) of a Banach space \(X\) is called a cell in \(X\) if the pairs (\(B(1),\partial B(1)\)) and (\(C,\partial C\)) are homeomorphic, where \(B(1)\) (resp., \(\partial B(1)\)) is the closed ball (resp., the sphere) of radius 1 centered at \(0_ X\). A subset \(A\) of \(X\) is cellular if there is a sequence \(\{C_ n\}\) of cells in \(X\)
openaire   +1 more source

RaMBat: Accurate identification of medulloblastoma subtypes from diverse data sources with severe batch effects

Molecular Oncology, EarlyView.
To integrate multiple transcriptomics data with severe batch effects for identifying MB subtypes, we developed a novel and accurate computational method named RaMBat, which leveraged subtype‐specific gene expression ranking information instead of absolute gene expression levels to address batch effects of diverse data sources.
Mengtao Sun, Jieqiong Wang, Shibiao Wan
wiley   +1 more source