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Search Results: 1 - 10 of 32151 matches for " p-th Moment Stability "
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Razumikhin-Type Theorems on p-th Moment Stability for Stochastic Switching Nonlinear Systems with Delay  [PDF]
Haibo Gu, Caixia Gao
Journal of Applied Mathematics and Physics (JAMP) , 2016, DOI: 10.4236/jamp.2016.47129
Abstract:

This paper mainly tends to utilize Razumikhin-type theorems to investigate p-th moment stability for a class of stochastic switching nonlinear systems with delay. Based on the Lyapunov-Razumik- hin methods, some sufficient conditions are derived to check the stability of stochastic switching nonlinear systems with delay. One numerical example is provided to demonstrate the effectiveness of the results.

Razumikhin-Type Theorems on General Decay Stability of Impulsive Stochastic Functional Differential Systems with Markovian Switching  [PDF]
Zhiyu Zhan, Caixia Gao
Journal of Applied Mathematics and Physics (JAMP) , 2016, DOI: 10.4236/jamp.2016.48172
Abstract: In this paper, the Razumikhin approach is applied to the study of both p-th moment and almost sure stability on a general decay for a class of impulsive stochastic functional differential systems with Markovian switching. Based on the Lyapunov-Razumikhin methods, some sufficient conditions are derived to check the stability of impulsive stochastic functional differential systems with Markovian switching. One numerical example is provided to demonstrate the effectiveness of the results.
具有年龄结构随机种群系统数值解的渐近有界性
ASYMPTOTIC BOUNDEDNESS OF THE NUMERICAL SOLUTIONS OF STOCHASTIC AGE-DEPENDENT POPULATION SYSTEM

作者,辛志贤,张启敏,李强,哈金才
- , 2018,
Abstract: 本文研究了一类具有年龄结构的随机种群系统的数值解问题.在线性增长条件下,利用Euler-Maruyama(EM)方法讨论了具有年龄结构的随机种群系统的数值解的p阶矩渐近有界性,并获得了渐近有界性准则.最后,通过数值算例对所得的结论进行了验证.
A class of stochastic age-dependent population system is studied in this paper. Under linear growth condition, we discuss the p-th asymptotic boundedness of the numerical solutions for stochastic age-dependent population system and establish a criterion for the asymptotical boundedness by using Euler-Maruyama (EM) method. Finally, numerical example is presented to demonstrate the accuracy of the conclusion
随机脉冲时刻下微分系统的稳定性
Stabilization of Differential Systems with Random Impulsive Effect
 [PDF]

韩文博, 高彩霞
Advances in Applied Mathematics (AAM) , 2014, DOI: 10.12677/AAM.2014.32013
Abstract:

本文研究了当脉冲时刻是随机变量时,脉冲微分系统的稳定性。因为在随机脉冲时刻的影响下,脉冲微分方程的解为随机过程,这与传统的确定性脉冲时刻的微分方程解的性质相差甚远。本文便研究随机脉冲的发生是如何影响系统稳定性的,并给出使系统P阶指数稳定的充分条件。
This paper studies the stability of impulsive differential systems when the pulses happen in the random time. Under the influence of random pulses, the solutions of impulsive differential equations become the stochastic processes, so the solutions are far different from the deterministic impulsive differential equations’. In this paper, we study how the random pulses affect the stability of the systems, and then the sufficient condition on P-moment stability is established.

Asymptotical p-moment stability of stochastic impulsive differential system and its application to chaos synchronization

Niu Yu-Jun,Xu Wei,Lu Zhao-Yang,

中国物理 B , 2010,
Abstract: In this paper, the asymptotical p-moment stability of stochastic impulsive differential equations is studied and a comparison theory to ensure the asymptotical p-moment stability of the trivial solution is established, which is important for studying the impulsive control and synchronization in stochastic systems. As an application of this theory, we study the problem of chaos synchronization in the Chen system excited by parameter white-noise excitation, by using the impulsive method. Numerical simulations verify the feasibility of this method.
p-moment stability of stochastic impulsive differential equations and impulsive synchronization of Lorenz system excited by parameter white-noise
随机脉冲微分方程的p阶矩稳定性和参激白噪声作用下Lorenz系统的脉冲同步

Niu Yu-Jun,Xu Wei,Rong Hai-Wu,Wang Liang,Feng Jin- Qian,
牛玉俊
,徐伟,戎海武,王亮,冯进钤

物理学报 , 2009,
Abstract: In this paper, the p-moment stability of impulsive differential equations is considered. A theory about this problem under a weak condition and an assumption which is more familiar in impulsive system is proved. As an application, the impulsive synchronization of Lorenz system excited by white-noise is considered, the p-moment stability of error system is proved, so the synchronization can be realized using impulsive method under p-moment stability. Numerical simulation verify the feasibility of this synchronization method.
Exponential Stability of Differential Systems with Impulsive Effect on Random Moments
随机脉冲微分系统指数稳定性

TUN Shu-Jin,
吴述金

数学物理学报(A辑) , 2005,
Abstract: The model of nonlinear differential systems with impulsive effect on random moments is brought forward by author in this paper. Then, some sufficient conditions for p-moment exponential stability and almost surely exponential stability of the trivial solution to the systems are presented, in which $dV(t,x(t))dt$ isn't required to be negative definite. Finally, an example is illustrated to show the application of the obtained results.
First-principles calculations for titanium monoxide clusters TinO (n=1--9)

Lu Zhang-Hui,Cao Jue-Xian,

中国物理 B , 2008,
Abstract: Based on the density-functional theory, this paper studies the geometric and magnetic properties of Ti$_{n}$O ($n$=1--9) clusters. The resulting geometries show that the oxygen atom remains on the surface of clusters and does not change the geometry of Ti$_{n}$ significantly. The binding energy, second-order energy differences with the size of clusters show that Ti$_{7}$O cluster is endowed with special stability. The stability of Ti$_{n}$O clusters is validated by the recent time-of-flight mass spectra. The total magnetic moments for Ti$_{n}$O clusters with $n$=1--4, 8--9 are constant with 2 and drop to zero at $n$=5--7. The local magnetic moment and charge partition of each atom, and the density of states are discussed. The magnetic moment of the Ti$_{n}$O is clearly dominated by the localized 3d electrons of Ti atoms while the oxygen atom contributes a very small amount of spin in Ti$_{n}$O clusters.
Sharp Thresholds for a Random Constraint Satisfaction Problem  [PDF]
Ya'nan Liu
Open Journal of Applied Sciences (OJAppS) , 2017, DOI: 10.4236/ojapps.2017.710041
Abstract: The phenomenon of phase transition in constraint satisfaction problems (CSPs) plays a crucial role in the field of artificial intelligence and computational complexity theory. In this paper, we propose a new random CSP called d-p-RB model, which is a generalization of RB model on domain size d and constraint tightness p. In this model, the variable domain size d?Ε [ nα, nny], and all constraints are uniformly divided into several groups with different constraint tightness p. It is proved by the second moment method that the d-p-RB model undergoes phase transition from a region where almost all instances are satisfiable to a region where almost all instances are unsatisfiable as the control parameter increases. Moreover, the threshold value at which the phase transition occurs is located exactly.
On exponential stability of C_0-quasisemigroups in Banach spaces
Mihail Megan,Vincen?iu Cuc
Le Matematiche , 1999,
Abstract: Inthis paper we study some stability concepts for linear systems the evolution which can be described by a C_0 -quasisemigroup. The results obtained may be regarded as generalizations of well known results of Datko, Pazy, Littman and Neerven about exponential stability of C_0 -semigroups.
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