Robust Exponential Stability of Large-Scale System With Mixed Input Delays and Impulsive Effect-Reference-Cited by-同舟云学术

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

Published:2016-05-12 Issue:5 Volume:11 Page:
ISSN:1555-1415
Container-title:Journal of Computational and Nonlinear Dynamics
language:en
Short-container-title:

Author:

Xue Huanbin¹²³,Zhang Jiye⁴,Zheng Weifan⁴,Hong Wang⁵

Affiliation:

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

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

3. College of Mathematics and Statistics, Hanshan Normal University, Qiaodong, Guangdong, Chaozhou 521041, China e-mail:

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

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

Abstract

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.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/doi/10.1115/1.4033253/6107830/cnd_011_05_051019.pdf

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