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Robust stability analysis of linear systems with parametric uncertainty

Author

Listed:
  • Ding Zhai
  • Qing-Ling Zhang
  • Guo-Yi Liu

Abstract

This article is concerned with the problem of robust stability analysis of linear systems with uncertain parameters. By constructing an equivalent system with positive uncertain parameters and using the properties of these parameters, a new stability analysis condition is derived. Due to making use of the properties of uncertain parameters, the new proposed method has potential to give less conservative results than the existing approaches. A numerical example is given to illustrate the effectiveness of the proposed method.

Suggested Citation

  • Ding Zhai & Qing-Ling Zhang & Guo-Yi Liu, 2012. "Robust stability analysis of linear systems with parametric uncertainty," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(9), pages 1683-1688.
    • Handle: RePEc:taf:tsysxx:v:43:y:2012:i:9:p:1683-1688
    DOI: 10.1080/00207721.2010.549591
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