变时延移动Ad-Hoc网络容量非合作规划博弈模型的渐近稳定性

Asymptotic stability for non-cooperative program game model of the capacity analysis for mobile ad-hoc networks with variable time delay

移动Ad-Hoc网络容量的稳定性是保证其服务质量的关键性质之一.本文提出一种新颖的考虑时变传播时延的非合作规划博弈移动Ad-Hoc网络容量分析模型稳定性控制技术.首先求得加入时变传播时延项的非合作规划博弈移动Ad-Hoc网络容量分析模型的源节点发送流量速率演化方程组—–一类非线性时变时滞微分方程组,在此基础上采用描述器技术结合线性矩阵不等式技术得到该模型的渐进稳定性准则,并设计了模型稳定性控制的迭代算法.由于是基于等价模型变换,所提出的渐近稳定性判别准则具有较小的保守性.仿真实验验证了本算法的有效性.本建模与分析方法虽以具体的非合作规划博弈移动Ad-Hoc网络容量分析模型为例,但其可以应用于一般的移动Ad-Hoc网络容量稳定性控制问题.

Stability of capacity is one of the key properties for quality of service （QoS） support in mobile ad hoc networks （MANETs）. In this paper, a novel technique is proposed for controlling the stability of capacity analysis model for non- cooperative program game MANETs, with the time-varying propagation delay taken into consideration. First, based on the obtained source node flow transmitting rate evolution aligns of capacity analysis model for non-cooperative program game mobile＇ ad-hoc network, when adding the time-varying propagation delay term, which is a class of nonlinear time- varying delay differentiM aligas, the asymptotic stability criteria of the model are presented in the form of descriptor and linear matrix inequalities. Then, an iterative algorithm is also provided for controlling the stability of the model. The proposed criteria are less conservative since they are based on an equivalent model transformation. Simulation experiments verify the effectiveness of this algorithm. Although the model used in this paper focuses on a specific algorithm, we believe that this method has a great potential in analyzing and understanding the general capacity of MANETs stability control issues.