Stability analysis of linear fractional differential system with multiple time delays

doi:10.1007/s11071-006-9094-0

CSpace

	Stability analysis of linear fractional differential system with multiple time delays
	Deng, Weihua ; Li, Changpin ; Lu, Jinhu
	2007-06-01
发表期刊	NONLINEAR DYNAMICS
ISSN	0924-090X
卷号	48 期号:4 页码:409-416
摘要	In this paper, we study the stability of n-dimensional linear fractional differential equation with time delays, where the delay matrix is defined in (R+)(nxn). By using the Laplace transform, we introduce a characteristic equation for the above system with multiple time delays. We discover that if all roots of the characteristic equation have negative parts, then the equilibrium of the above linear system with fractional order is Lyapunov globally asymptotical stable if the equilibrium exist that is almost the same as that of classical differential equations. As its an application, we apply our theorem to the delayed system in one spatial dimension studied by Chen and Moore [Nonlinear Dynamics 29, 2002, 191] and determine the asymptotically stable region of the system. We also deal with synchronization between the coupled Duffing oscillators with time delays by the linear feedback control method and the aid of our theorem, where the domain of the control-synchronization parameters is determined.
关键词	delay Duffing oscillator linear fractional differential system stability synchronization
DOI	10.1007/s11071-006-9094-0
语种	英语
WOS研究方向	Engineering ; Mechanics
WOS类目	Engineering, Mechanical ; Mechanics
WOS记录号	WOS:000244837200005
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4743
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Changpin
作者单位	1.Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China 2.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Deng, Weihua,Li, Changpin,Lu, Jinhu. Stability analysis of linear fractional differential system with multiple time delays[J]. NONLINEAR DYNAMICS,2007,48(4):409-416.
APA	Deng, Weihua,Li, Changpin,&Lu, Jinhu.(2007).Stability analysis of linear fractional differential system with multiple time delays.NONLINEAR DYNAMICS,48(4),409-416.
MLA	Deng, Weihua,et al."Stability analysis of linear fractional differential system with multiple time delays".NONLINEAR DYNAMICS 48.4(2007):409-416.