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New globally asymptotic stability criteria for delayed cellular neural networks

หน่วยงาน Central Queensland University, Australia

รายละเอียด

ชื่อเรื่อง : New globally asymptotic stability criteria for delayed cellular neural networks
นักวิจัย : Xiao, Shen-Ping. , Zhang, Xian-Ming.
คำค้น : Neural networks (Computer science) Stability. , Strategic basic research. , 970101 Expanding Knowledge in the Mathematical Sciences. , 010203 Calculus of Variations, Systems Theory and Control Theory. , 010204 Dynamical Systems in Applications. , Time delay systems. , Delay lines. , Globally asymptotic stability -- Linear matrix inequality (LMI) -- Neural networks -- Time-varying delay , Journal Article. Refereed, Scholarly Journal
หน่วยงาน : Central Queensland University, Australia
ผู้ร่วมงาน : -
ปีพิมพ์ : 2552
อ้างอิง : http://hdl.cqu.edu.au/10018/62158
ที่มา : Xiao, S & Zhang, X 2009, 'New globally asymptotic stability criteria for delayed cellular neural networks', IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 56, no. 8, pp.659-663, http://dx.doi.org/10.1109/TCSII.2009.2024244
ความเชี่ยวชาญ : -
ความสัมพันธ์ : IEEE transactions on circuits and systems. II, Express briefs. United States : IEEE, 2009. Vol. 56, no. 8 (August 2009), p. 659-663 5 pages Refereed 1549-7747 , ACQUIRE [electronic resource] : Central Queensland University Institutional Repository.
ขอบเขตของเนื้อหา : -
บทคัดย่อ/คำอธิบาย :

This brief is concerned with the stability analysis for cellular neural networks with time-varying delays. First, an appropriate Lyapunov-Krasovskii functional is introduced to form some new delay-dependent stability conditions in terms of linear matrix inequalities (LMIs). Quite differently, these stability criteria are derived by using the convex combination property, which equivalently converts the original LMI containing a convex combination on the time-varying delay into two boundary LMIs. Second, this newly proposed approach is then extended to a class of uncertain neural networks with time-varying delays, from which new delay-dependent robust stability criteria are formulated. Finally, two numerical examples are given to show that the proposed criteria are of much less conservatism than the existing ones in the literature

บรรณานุกรม :
Xiao, Shen-Ping. , Zhang, Xian-Ming. . (2552). New globally asymptotic stability criteria for delayed cellular neural networks.
    กรุงเทพมหานคร : Central Queensland University, Australia.
Xiao, Shen-Ping. , Zhang, Xian-Ming. . 2552. "New globally asymptotic stability criteria for delayed cellular neural networks".
    กรุงเทพมหานคร : Central Queensland University, Australia.
Xiao, Shen-Ping. , Zhang, Xian-Ming. . "New globally asymptotic stability criteria for delayed cellular neural networks."
    กรุงเทพมหานคร : Central Queensland University, Australia, 2552. Print.
Xiao, Shen-Ping. , Zhang, Xian-Ming. . New globally asymptotic stability criteria for delayed cellular neural networks. กรุงเทพมหานคร : Central Queensland University, Australia; 2552.