Technical communique: Delay-range-dependent stability for systems with time-varying delay

  • Authors:

  • Yong He;Qing-Guo Wang;Chong Lin;Min Wu

  • Affiliations:

  • School of Information Science and Engineering, Central South University, Changsha 410083, China and Department of Electrical and Computer Engineering, National University of Singapore, 10 Kent Rid ...;Department of Electrical and Computer Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore;Department of Electrical and Computer Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore and Institute of Complexity Science, College of Automation ...;School of Information Science and Engineering, Central South University, Changsha 410083, China

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2007

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Abstract

This paper is concerned with the stability analysis for systems with time-varying delay in a range. An appropriate type of Lyapunov functionals is proposed to investigate the delay-range-dependent stability problem. The present results may improve the existing ones due to a method to estimate the upper bound of the derivative of Lyapunov functional without ignoring some useful terms and the introduction of additional terms into the proposed Lyapunov functional, which take into account the range of delay. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method.