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

作者：Yang Juan^*; Yang Dan; Huang Bin; Zhang Xiao Hong; Yang Cong

来源：Acta Physica Sinica, 2014, 63(2): 20501.

DOI：10.7498/aps.63.020501

• non-cooperative program game
• time-varying propagation delay
• descriptor
• linear matrix inequalities

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 noncooperative 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 non-linear time-varying delay differential aligns, 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.

• 出版日期2014-2
• 单位中国人民解放军重庆通信学院; 重庆大学