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Research Papers

Robust Exponential Stability of Large-Scale System With Mixed Input Delays and Impulsive Effect

[+] Author and Article Information
Huanbin Xue

State Key Laboratory of Traction Power,
Southwest Jiaotong University,
No. 111, Second Ring Road,
Sichuan, Chengdu 610031, China;
School of Mechanics and Engineering,
Southwest Jiaotong University,
No. 111, Second Ring Road,
Sichuan, Chengdu 610031, China;
College of Mathematics and Statistics,
Hanshan Normal University,
Qiaodong,
Guangdong, Chaozhou 521041, China
e-mail: huanbinxue@163.com

Jiye Zhang, Weifan Zheng

State Key Laboratory of Traction Power,
Southwest Jiaotong University,
No. 111, Second Ring Road,
Sichuan, Chengdu 610031, China

Wang Hong

School of Mechanics and Engineering,
Southwest Jiaotong University,
No. 111, Second Ring Road,
Sichuan, Chengdu 610031, China

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received November 4, 2015; final manuscript received March 21, 2016; published online May 12, 2016. Assoc. Editor: Gabor Stepan.

J. Comput. Nonlinear Dynam 11(5), 051019 (May 12, 2016) (6 pages) Paper No: CND-15-1353; doi: 10.1115/1.4033253 History: Received November 04, 2015; Revised March 21, 2016

In this paper, a class of large-scale systems with impulsive effect, input disturbance, and both variable and unbounded delays were investigated. On the assumption that all subsystems of the large-scale system can be exponentially stabilized, and the stabilizing feedbacks and corresponding Lyapunov functions (LFs) for the closed-loop systems are available, using the idea of vector Lyapunov method and M-matrix property, the intero-differential inequalities with variable and unbounded delays were constructed. By the stability analysis of the intero-differential inequalities, the sufficient conditions to ensure the robust exponential stability of the large-scale system were obtained. Finally, the correctness and validity of the methods was verified by two numerical examples.

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Figures

Grahic Jump Location
Fig. 1

The state response of the closed-loop system (30)

Grahic Jump Location
Fig. 2

The state responses of the closed-loop system (32)

Grahic Jump Location
Fig. 3

The state norm response of the closed-loop system (32)

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