New results of stability analysis for systems with time-varying delay

Authors

  • Xun-Lin Zhu,

    1. College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning 110004, People's Republic of China
    2. School of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou, Henan 450002, People's Republic of China
    Search for more papers by this author
  • Guang-Hong Yang

    Corresponding author
    1. College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning 110004, People's Republic of China
    2. Key Laboratory of Integrated Automation of Process Industry (Ministry of Education), Northeastern University, Shenyang 110004, People's Republic of China
    • College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning 110004, People's Republic of China
    Search for more papers by this author

Abstract

This paper studies the problem of stability analysis for continuous-time systems with time-varying delay. By developing a delay decomposition approach, the information of the delayed plant states can be taken into full consideration, and new delay-dependent sufficient stability criteria are obtained in terms of linear matrix inequalities. The merits of the proposed results lie in their less conservatism, which are realized by choosing different Lyapunov matrices in the decomposed integral intervals and estimating the upper bound of some cross term more exactly. Numerical examples are given to illustrate the effectiveness and less conservatism of the proposed method. Copyright © 2009 John Wiley & Sons, Ltd.

Ancillary