Delay-dependent asymptotic stability of mobile ad-hoc networks：A descriptor system approach

doi:10.1088/1674-1056/23/7/070502

›› 2014, Vol. 23 ›› Issue (7): 70502-070502.doi: 10.1088/1674-1056/23/7/070502

Delay-dependent asymptotic stability of mobile ad-hoc networks：A descriptor system approach

杨娟^{a b}, 杨丹^c, 黄彬^d, 张小洪^c, 罗建禄^e

a College of Communication Engineering, Chongqing University, Chongqing 400030, China;
b The 3rd Department, People's Liberation Army, Chongqing Communication Institute, Chongqing 400035, China;
c School of Software Engineering, Chongqing University, Chongqing 400030, China;
d Foundation department, People's Liberation Army, Chongqing Communication College, Chongqing 400035, China;
e The Department of Electronic Technology, People's Armed Police, Police College, Chengdu 610213, China

收稿日期:2013-10-30 修回日期:2014-01-21 出版日期:2014-07-15 发布日期:2014-07-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 61173131), the Fundamental Research Funds for the Interdisciplinary Class Major Projects for the Central Universities of Ministry of Education of China (Grant No. CDJZR12098801), the Based and Advanced Research Projects of Chongqing of China (Grant No. cstc2013jcyjA40033), the Key Strategic Project of Chongqing of China (Grant No. CSTC2009AB2230), the Strategeic Project of Chongqing of China (Grant No. 2009AC2057), and the Special Funding for Scientific Research Project of Chongqing Postdoctoral Researchers, China (Grant No. XM20120054).

Delay-dependent asymptotic stability of mobile ad-hoc networks：A descriptor system approach

Yang Juan (杨娟)^{a b}, Yang Dan (杨丹)^c, Huang Bin (黄彬)^d, Zhang Xiao-Hong (张小洪)^c, Luo Jian-Lu (罗建禄)^e

a College of Communication Engineering, Chongqing University, Chongqing 400030, China;
b The 3rd Department, People's Liberation Army, Chongqing Communication Institute, Chongqing 400035, China;
c School of Software Engineering, Chongqing University, Chongqing 400030, China;
d Foundation department, People's Liberation Army, Chongqing Communication College, Chongqing 400035, China;
e The Department of Electronic Technology, People's Armed Police, Police College, Chengdu 610213, China

Received:2013-10-30 Revised:2014-01-21 Online:2014-07-15 Published:2014-07-15
Contact: Yang Juan E-mail:juanyang@cqu.edu.cn
About author:05.45.-a; 02.30.Yy
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 61173131), the Fundamental Research Funds for the Interdisciplinary Class Major Projects for the Central Universities of Ministry of Education of China (Grant No. CDJZR12098801), the Based and Advanced Research Projects of Chongqing of China (Grant No. cstc2013jcyjA40033), the Key Strategic Project of Chongqing of China (Grant No. CSTC2009AB2230), the Strategeic Project of Chongqing of China (Grant No. 2009AC2057), and the Special Funding for Scientific Research Project of Chongqing Postdoctoral Researchers, China (Grant No. XM20120054).

摘要/Abstract

摘要： In order to analyze the capacity stability of the time-varying-propagation and delay-dependent of mobile ad-hoc networks (MANETs), in this paper, a novel approach is proposed to explore the capacity asymptotic stability for the delay-dependent of MANETs based on non-cooperative game theory, where the delay-dependent conditions are explicitly taken into consideration. This approach is based on the Lyapunov-Krasovskii stability theory for functional differential equations and the linear matrix inequality (LMI) technique. A corresponding Lyapunov-Krasovskii functional is introduced for the stability analysis of this system with use of the descriptor and “neutral-type” model transformation without producing any additional dynamics. The delay-dependent stability criteria are derived for this system. Conditions are given in terms of linear matrix inequalities, and for the first time referred to neutral systems with the time-varying propagation and delay-dependent stability for capacity analysis of MANETs. The proposed criteria are less conservative since they are based on an equivalent model transformation. Furthermore, we also provide an effective and efficient iterative algorithm to solve the constrained stability control model. Simulation experiments have verified the effectiveness and efficiency of our algorithm.

关键词: stability control of capacity, Lyapunov-Krasovskii functional, time delay-dependent, descriptor

Abstract: In order to analyze the capacity stability of the time-varying-propagation and delay-dependent of mobile ad-hoc networks (MANETs), in this paper, a novel approach is proposed to explore the capacity asymptotic stability for the delay-dependent of MANETs based on non-cooperative game theory, where the delay-dependent conditions are explicitly taken into consideration. This approach is based on the Lyapunov-Krasovskii stability theory for functional differential equations and the linear matrix inequality (LMI) technique. A corresponding Lyapunov-Krasovskii functional is introduced for the stability analysis of this system with use of the descriptor and “neutral-type” model transformation without producing any additional dynamics. The delay-dependent stability criteria are derived for this system. Conditions are given in terms of linear matrix inequalities, and for the first time referred to neutral systems with the time-varying propagation and delay-dependent stability for capacity analysis of MANETs. The proposed criteria are less conservative since they are based on an equivalent model transformation. Furthermore, we also provide an effective and efficient iterative algorithm to solve the constrained stability control model. Simulation experiments have verified the effectiveness and efficiency of our algorithm.

Key words: stability control of capacity, Lyapunov-Krasovskii functional, time delay-dependent, descriptor

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

02.30.Yy (Control theory)

杨娟, 杨丹, 黄彬, 张小洪, 罗建禄. Delay-dependent asymptotic stability of mobile ad-hoc networks：A descriptor system approach[J]. , 2014, 23(7): 70502-070502.

Yang Juan (杨娟), Yang Dan (杨丹), Huang Bin (黄彬), Zhang Xiao-Hong (张小洪), Luo Jian-Lu (罗建禄). Delay-dependent asymptotic stability of mobile ad-hoc networks：A descriptor system approach[J]. Chin. Phys. B, 2014, 23(7): 70502-070502.

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Delay-dependent asymptotic stability of mobile ad-hoc networks：A descriptor system approach

Delay-dependent asymptotic stability of mobile ad-hoc networks：A descriptor system approach

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