Practical Stability in Terms of Two Measures for Hybrid Dynamic Systems

Tom 58 / 2010

Shurong Sun, Zhenlai Han, Elvan Akin-Bohner, Ping Zhao Bulletin Polish Acad. Sci. Math. 58 (2010), 221-237 MSC: 34N05, 34A38, 34D20. DOI: 10.4064/ba58-3-5

Streszczenie

We study hybrid dynamic systems on time scales. Using Lyapunov-like functions, we obtain sufficient conditions for practical stability and strict practical stability in terms of two measures for hybrid dynamic systems on time scales.

Autorzy

  • Shurong SunSchool of Science
    University of Jinan
    Jinan, Shandong 250022, P.R. China
    and
    Department of Mathematics and Statistics
    Missouri University of Science
    and Technology
    Rolla, MO 65409-0020, U.S.A.
    e-mail
  • Zhenlai HanSchool of Science
    University of Jinan
    Jinan, Shandong 250022, P.R. China
    and
    School of Control Science and Engineering
    Shandong University
    Jinan, Shandong 250061, P.R. China
    e-mail
  • Elvan Akin-BohnerDepartment of Mathematics and Statistics
    Missouri University of Science
    and Technology
    Rolla, MO 65409-0020, U.S.A.
    e-mail
  • Ping ZhaoSchool of Control Science and Engineering
    University of Jinan
    Jinan, Shandong 250022, P.R. China
    e-mail

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