Practical Stability in Terms of Two Measures
 for Hybrid Dynamic Systems

Shurong Sun; Zhenlai Han; Elvan Akin-Bohner; Ping Zhao

doi:10.4064/ba58-3-5

Publishing house / Journals and Serials / Bulletin of the Polish Academy of Sciences. Mathematics / All issues

Practical Stability in Terms of Two Measures for Hybrid Dynamic Systems

Volume 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

Abstract

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.

Authors

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

Free download under CC-BY license

Search for IMPAN publications