Open AccessAsymptotic stability for non-cooperative program game model of the capacity analysis for mobile ad-hoc networks with variable time delay
Author(s) -
Juan Yang,
Dan Yang,
Bin Huang,
Xiaohong Zhang,
Cong Yang
Publication year - 2014
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.63.020501
Subject(s) - computer science , stability (learning theory) , mobile ad hoc network , wireless ad hoc network , node (physics) , quality of service , variable (mathematics) , transformation (genetics) , nonlinear system , mathematical optimization , computer network , distributed computing , telecommunications , mathematics , wireless , mathematical analysis , machine learning , biochemistry , chemistry , physics , structural engineering , quantum mechanics , network packet , engineering , gene
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 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.