Modeling hybrid network dynamics under random perturbations

被引:3
作者
Korzeniowski, Andrzej [2 ]
Ladde, G. S. [1 ]
机构
[1] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
[2] Univ Texas Arlington, Dept Math, Arlington, TX 76019 USA
关键词
Single node dynamics; Random networks; Stability; Reliability;
D O I
10.1016/j.nahs.2008.12.001
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We define stochastic network models based on internal structural dynamics of individual nodes which undergo Markovian switching subject to noise and external shocks. Steady-state stability and reliability criteria are established in closed form and show explicit dependence on system parameters. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:143 / 149
页数:7
相关论文
共 21 条
[1]  
Anabtawi M.J., 2005, MATH COMPUT MODEL, P966
[2]  
[Anonymous], 1996, Stochastic Processes
[3]  
Bremaud Pierre, 2001, MARKOV CHAINS
[4]  
Chandra J., 2004, INT J HYBRID SYSTEMS, V4, P179
[5]   Qualitative properties of stochastic iterative processes under random structural perturbations [J].
Griffin, BL ;
Ladde, GS .
MATHEMATICS AND COMPUTERS IN SIMULATION, 2004, 67 (03) :181-200
[6]   Stability of Stochastic Differential Equations Under Discretization [J].
Korzeniowski, Andrzej .
STOCHASTIC ANALYSIS AND APPLICATIONS, 2008, 26 (06) :1267-1273
[7]   Mean reversal for stochastic hybrid systems [J].
Korzeniowski, Andrzej .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2008, 2 (02) :613-625
[8]  
Ladde G.S., 1980, RANDOM DIFFERENTIAL
[9]  
Ladde G. S., 1972, Annali di Matematica Pura ed Applicata, V94, P283
[10]  
Ladde G.S., 2002, INT J HYBRID SYST, V2, P237