Results 31 to 40 of about 41,557 (312)

Asymptotic behaviour of solutions to certain nonlinear third order neutral functional differential equation

Heliyon, 2021
This paper presents asymptotic behaviour of solution to certain nonlinear nonautonomous neutral functional differential equation of the third order. The third order functional differential equation is cut back to system of first order and used together ...
Adeleke Timothy Ademola
doaj   +1 more source

Asymptotic behaviours of stochastic differential delay equations

, 2005
Most of the existing results on stochastic stability use a single Lyapunov function, but we shall instead use multiple Lyapunov functions in this paper.
Shen, Yi, Mao, Xuerong, Xuerong Mao, Yi Shen   +3 more
core   +1 more source

A Note on the Asymptotic Stability

, 2015
In this paper, we stude the influence of the perturbing term in equation x’ = f(t, x) + g(t, x), on the asymptotically behavior of x’ = f(t, x).
Napoles Valdes, Juan Eduardo, Lugo Motta Bittencurt, Luciano Miguel, Guzmán, Paulo Matias   +2 more
openaire   +2 more sources

Asymptotic Stability Region of Slotted Aloha [PDF]

IEEE Transactions on Information Theory, 2012
We analyze the stability of standard, buffered, slotted-Aloha systems. Specifically, we consider a set of $N$ users, each equipped with an infinite buffer. Packets arrive into user $i$'s buffer according to some stationary ergodic Markovian process of intensity $λ_i$.
Bordenave, Charles, Mcdonald, David, Proutière, Alexandre   +2 more
openaire   +3 more sources

Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching

, 2008
The main aim of this paper is to discuss the almost surely asymptotic stability of the neutral stochastic differential delay equations (NSDDEs) with Markovian switching.
Yuan, Chenggui, Chenggui Yuan, Shen, Yi, Mao, Xuerong, National Natural Science Foundation of China (Funder), , EPSRC (U.K.) (Funder), EPSRC (U.K.) (Funder), , National Natural Science Foundation of China (Funder)   +7 more
core   +1 more source

Generalised theory on asymptotic stability and boundedness of stochastic functional differential equations

, 2011
Asymptotic stability and boundedness have been two of most popular topics in the study of stochastic functional differential equations (SFDEs) (see e.g. Appleby and Reynolds (2008), Appleby and Rodkina (2009), Basin and Rodkina (2008), Khasminskii (1980),
Qi Luo, Luo, Qi, Shen, Yi, Mao, Xuerong, Xuerong Mao, Yi Shen   +5 more
core   +1 more source

Prolongation of solutions and Lyapunov stability for Stieltjes dynamical systems

Electronic Journal of Qualitative Theory of Differential Equations
In this article, we present Lyapunov-type results to study the stability of an equilibrium of a Stieltjes dynamical system. We utilize prolongation results to establish the global existence of the maximal solution.
Lamiae Maia, Noha El Khattabi, Marlene Frigon   +2 more
doaj   +1 more source

Almost sure and moment exponential stability in the numerical simulation of stochastic differential equations [PDF]

, 2007
Relatively little is known about the ability of numerical methods for stochastic differential equations (SDEs) to reproduce almost sure and small-moment stability.
Yuan, C., Mao, X., Chenggui Yuan, Mao, Xuerong, Higham, D.J.   +4 more
core   +1 more source

Oscillation and Global Asymptotic Stability

Journal of Mathematical Analysis and Applications, 2000
The authors establish oscillation results and global asymptotic stability for the difference equation \[ y_{n+1}= A+{y_ny_{n-2} \cdots y_{n-(2k-2)} \over y_{n-1}y_{n-3} \cdots y_{n-(2k-1)}},\;A>0,\;k\geq 2,\;n\geq 2k. \] For related results see the paper of \textit{R. De Vault}, \textit{G. Ladas} and \textit{S. W. Schultz} [Proc. Am. Math. Soc. 126, No.
Mishev, D.P, Patula, W.T
openaire   +2 more sources

A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems

International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam, Anthony Siming Chen, Guido Herrmann   +2 more
wiley   +1 more source