Brief paper: Delay-dependent stability for discrete systems with large delay sequence based on switching techniques

  • Authors:

  • Xi-Ming Sun;Guo-Ping Liu;David Rees;Wei Wang

  • Affiliations:

  • Research Center of Information and Control, Dalian University of Technology, Dalian 116024, China and Faculty of Advanced Technology, University of Glamorgan, Pontypridd, CF37 1DL, United Kingdom;Faculty of Advanced Technology, University of Glamorgan, Pontypridd, CF37 1DL, United Kingdom and CSIS Lab, Institute of Automation, Chinese Academy of Sciences, China;Faculty of Advanced Technology, University of Glamorgan, Pontypridd, CF37 1DL, United Kingdom;Research Center of Information and Control, Dalian University of Technology, Dalian 116024, China

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2008

Quantified Score

Hi-index 22.15

Visualization

Abstract

This paper considers the exponential stability problem for a class of discrete time-varying delay systems with large delay sequences (LDSs). A new method based on a switching technique is presented to solve this problem. A switched delay system, in which one of the discrete subsystems may be unstable, is firstly employed to describe such a system, and then some new concepts about LDSs are introduced. Next, using a novel piecewise Lyapunov functional, explicit delay-dependent conditions are developed to show how long and how frequent the LDSs can be and still maintain the system exponentially stable. Without LDSs, the criterion obtained in this paper includes the established one as a special case. Two numerical examples are given to show the effectiveness of the proposed method.