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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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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. 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.
出处 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第7期293-302,共10页 中国物理B(英文版)
基金 supported by the National Natural Science Foundation of China(Grant No.61173131) the Fundamental Research Funds for the Interdisciplinary ClassMajor Projects for the Central Universities of Ministry of Education of China(Grant No.CDJZR12098801) the Based and Advanced Research Projects ofChongqing of China(Grant No.cstc2013jcyjA40033) the Key Strategic Project of Chongqing of China(Grant No.CSTC2009AB2230) the Strategeic Projectof Chongqing of China(Grant No.2009AC2057) the Special Funding for Scientific Research Project of Chongqing Postdoctoral Researchers,China(Grant No.XM20120054)
关键词 stability control of capacity Lyapunov-Krasovskii functional time delay-dependent DESCRIPTOR stability control of capacity, Lyapunov-Krasovskii functional, time delay-dependent, descriptor
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