Delay-dependent robust stability criteria for uncertain systems with interval time-varying delay

  • Authors:

  • Chen Peng;Yu-Chu Tian

  • Affiliations:

  • School of Software Engineering and Data Communications, Faculty of Information Technology, GPO Box 2434, Brisbane, QLD 4001, Australia and School of Electrical and Automation Engineering, Nanjing ...;School of Software Engineering and Data Communications, Faculty of Information Technology, GPO Box 2434, Brisbane, QLD 4001, Australia

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2008

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Abstract

This paper proposes an approach for the robust stability of uncertain systems with interval time-varying delay. The key features of the approach include the introduction of uncorrelated augmented matrix items into the Lyapunov functional and the use of a tighter bounding technology. Unlike existing methodologies, the proposed approach involves neither free weighting matrices nor any model transformation. It can, however, lead to much less conservative stability criteria than the existing ones for the systems under consideration. Numerical examples show that the proposed criteria improve the existing results significantly with much less computational effort.