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

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

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.

Keywords: stability control of capacity Lyapunov-Krasovskii functional time delay-dependent descriptor

Received: 30 October 2013
Revised: 21 January 2014
Accepted manuscript online:

PACS:	05.45.-a	(Nonlinear dynamics and chaos)
	02.30.Yy	(Control theory)

Fund: 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).

Corresponding Authors: Yang Juan
E-mail: juanyang@cqu.edu.cn

About author: 05.45.-a; 02.30.Yy

Cite this article:

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 2014 Chin. Phys. B 23 070502

[1]	Gupta P and Kumar P 2000 IEEE Trans. Inf. Theory 46 388
[2]	Grossglauser M and Tse D N C 2002 IEEE ACM Trans. Netw. 10 477
[3]	Zhao S M and Liu J 2010 Acta Phys. Sin. 59 771 (in Chinese)
[4]	Shirong D, John N D and Bahram A 2011 Ad Hoc Netw. 9 120
[5]	Zhao H T, Emiliano G P, Jibo W and Yong X 2011 Phys. Commun. 4 98
[6]	Zhong L, Wang C, Jiang C J and Li X Y 2013 Ad Hoc Netw. 11 29
[7]	Wang L J, Cai L and Liu X Z 2009 Comput. Netw. 53 338
[8]	Georgiadis L, Szpankowski W and Tassiulas L 1997 IEEE Trans. Inform. Theory 43 923
[9]	Li W X, Su H and Wang K 2011 Automatica 47 215
[10]	Feijer D and Paganini F. 2010 Automatica 46 1974
[11]	Dargie W and Schill A 2011 J. Comput. Syst. Sci. 77 852
[12]	Chen C H, Yin C C and Yue G X 2011 The Journal of China Universities of Posts and Telecommunications 18 22
[13]	Jae Y S and Seong L K 2012 Comput. Commun. 35 1345
[14]	Mansoori M and Mahdavi M 2013 Performance Evaluation 70 45
[15]	Liu S, Liu B, Zhang Y K and Wen Y 2010 Acta Phys. Sin. 59 38 (in Chinese)
[16]	Shi P M, Li J Z, Liu B and Han D Y 2011 Acta Phys. Sin. 60 094501 (in Chinese)
[17]	Yamamoto K 2005 IEICE Trans. Commun. E88-B 1009
[18]	Kherani A, El-Khoury R and El-Azouzi R 2008 Comput. Netw. 52 1365
[19]	Farhadi A and Charalambous C D 2010 Automatica 46 889
[20]	Yang J, Li Y, Zhang Z J and Li J Q 2012 J. Elect. Inf. Technol. 34 75
[21]	Yang J, Yang D, Huang B, Zhang X H and Yang C 2014 Acta Phys. Sin. (in press) (in Chinese)
[22]	Liao X F, Liu Y B, Guo S T and Mai H H 2009 Commun. Nonlinear Sci. Numer. Simulat. 14 3120
[23]	Li C D and Liao X F 2006 Int. J. Bifurc. Chaos 16 3323
[24]	Arik S 2002 IEEE Trans. Neural Netw. 13 1239
[25]	Cao J D 2001 IEEE Trans. Circ. Syst. 48 1330
[26]	Hale J and Verduyn L S M 1993 Introduction to Functional Differential Equations (New York: Springer) p. 332
[27]	Kolmanovskii V and Nosov V 1986 Stability of Functional Differential Eequations (New York: Academic Press) p. 214
[28]	Kolamnovskii V and Myshkis A 1999 Applied Theory of Functional Differential Equations (Boston (MA): Kluwer) p. 59
[29]	Gopalsamy K 1992 Ph.D. Dissertation (Netherlands: Kluwer Academic)
[30]	Fridman E 2001 Syst. Control Lett. 43 309
[31]	Yang J 2011 Ph.D. Dissertation (Chongqing: Chongqing University) (in Chinese)
[32]	Fridman E 2002 J. Math. Anal. Appl. 273 24
[33]	Fridman E and Shaked U 2002 Linear Algebra Appl. 351 271
[34]	Wu M and He Y 2008 Delay System Robust Control-Liberty Matrix Method (Beijing: Science Press) p. 1 (in Chinese)

[1]	A novel extended Tsypkin criterion for discrete-time descriptor systems with ferromagnetic hysteresis nonlinear physical phenomenon Zhang Hua-Guang(张化光), Song Zheng(宋铮), and Zhang Qing-Ling(张庆灵). Chin. Phys. B, 2010, 19(12): 120512.
[2]	Using three-dimensional discrete spherical Fourier descriptors based on surface curvature voxels for pollen particle recognition Xie Yong-Hua(谢永华) and Michael OhEigeartaigh. Chin. Phys. B, 2010, 19(11): 110601.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

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

Cite this article:

Online attention