Scientific Research and Essays

  • Abbreviation: Sci. Res. Essays
  • Language: English
  • ISSN: 1992-2248
  • DOI: 10.5897/SRE
  • Start Year: 2006
  • Published Articles: 2768

Full Length Research Paper

Finite-time stability analysis for linear time-varying singular impulsive systems

Linna Zhou1*, Chunyu Yang2, Qingling Zhang3 and Yingwu Lai4
1School of Business Administration, Northeastern University, Shenyang, 110819, Peoples Republic of China. 2State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, 110819, Peoples Republic of China. 3Institute of Systems Science, Northeastern University, Shenyang, 110819, Peoples Republic of China. 4CNPC Liaoyang Petrochemical Company Machinary Factory, Liaoyang, 111003, Peoples Republic of China.
Email: [email protected]

  •  Accepted: 28 July 2011
  •  Published: 19 August 2011

Abstract

This paper considers the finite-time stability of linear time-varying singular impulsive systems. A lemma which states an important inequality was first established. Then some sufficient conditions for the systems to be finite-time stable were derived. The proposed results remove some restrictions of the existing methods and thus can be applied to more general systems. Finally, a numerical example was presented to illustrate the proposed approaches.

 

Key words: Singular impulsive systems, finite-time stability, comparison principle.

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