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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September 2016
Research-Article
Robust Exponential Stability of Large-Scale System With Mixed Input Delays and Impulsive Effect
Huanbin Xue,
Huanbin Xue
State Key Laboratory of Traction Power,
Southwest Jiaotong University,
No. 111, Second Ring Road,
Sichuan, Chengdu 610031, China;
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;
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
Hanshan Normal University,
Qiaodong,
Guangdong, Chaozhou 521041, China
e-mail: huanbinxue@163.com
Search for other works by this author on:
Jiye Zhang,
Jiye Zhang
State Key Laboratory of Traction Power,
Southwest Jiaotong University,
No. 111, Second Ring Road,
Sichuan, Chengdu 610031, China
Southwest Jiaotong University,
No. 111, Second Ring Road,
Sichuan, Chengdu 610031, China
Search for other works by this author on:
Weifan Zheng,
Weifan Zheng
State Key Laboratory of Traction Power,
Southwest Jiaotong University,
No. 111, Second Ring Road,
Sichuan, Chengdu 610031, China
Southwest Jiaotong University,
No. 111, Second Ring Road,
Sichuan, Chengdu 610031, China
Search for other works by this author on:
Wang Hong
Wang Hong
School of Mechanics and Engineering,
Southwest Jiaotong University,
No. 111, Second Ring Road,
Sichuan, Chengdu 610031, China
Southwest Jiaotong University,
No. 111, Second Ring Road,
Sichuan, Chengdu 610031, China
Search for other works by this author on:
Huanbin Xue
State Key Laboratory of Traction Power,
Southwest Jiaotong University,
No. 111, Second Ring Road,
Sichuan, Chengdu 610031, China;
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;
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
Hanshan Normal University,
Qiaodong,
Guangdong, Chaozhou 521041, China
e-mail: huanbinxue@163.com
Jiye Zhang
State Key Laboratory of Traction Power,
Southwest Jiaotong University,
No. 111, Second Ring Road,
Sichuan, Chengdu 610031, China
Southwest Jiaotong University,
No. 111, Second Ring Road,
Sichuan, Chengdu 610031, China
Weifan Zheng
State Key Laboratory of Traction Power,
Southwest Jiaotong University,
No. 111, Second Ring Road,
Sichuan, Chengdu 610031, China
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
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. Sep 2016, 11(5): 051019 (6 pages)
Published Online: May 12, 2016
Article history
Received:
November 4, 2015
Revised:
March 21, 2016
Citation
Xue, H., Zhang, J., Zheng, W., and Hong, W. (May 12, 2016). "Robust Exponential Stability of Large-Scale System With Mixed Input Delays and Impulsive Effect." ASME. J. Comput. Nonlinear Dynam. September 2016; 11(5): 051019. https://doi.org/10.1115/1.4033253
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