Geodesic
Practical Stability in Terms of Two Measures for Hybrid Dynamic Systems
Shurong Sun1 ; Zhenlai Han2 ; Elvan Akin-Bohner3 ; Ping Zhao4
1School 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.
2School 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
3Department of Mathematics and Statistics Missouri University of Science and Technology Rolla, MO 65409-0020, U.S.A.
4School of Control Science and Engineering University of Jinan Jinan, Shandong 250022, P.R. China
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 58 (2010) no. 3, pp. 221-237
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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.
DOI : 10.4064/ba58-3-5
Keywords: study hybrid dynamic systems time scales using lyapunov like functions obtain sufficient conditions practical stability strict practical stability terms measures hybrid dynamic systems time scales

Shurong Sun  1   ; Zhenlai Han  2   ; Elvan Akin-Bohner  3   ; Ping Zhao  4

1 School 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.
2 School 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
3 Department of Mathematics and Statistics Missouri University of Science and Technology Rolla, MO 65409-0020, U.S.A.
4 School of Control Science and Engineering University of Jinan Jinan, Shandong 250022, P.R. China 
@article{10_4064_ba58_3_5,
     author = {Shurong Sun and Zhenlai Han and Elvan Akin-Bohner and Ping Zhao},
     title = {Practical {Stability} in {Terms} of {Two} {Measures
} for {Hybrid} {Dynamic} {Systems}},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     pages = {221--237},
     year = {2010},
     volume = {58},
     number = {3},
     doi = {10.4064/ba58-3-5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ba58-3-5/}
}
TY  - JOUR
AU  - Shurong Sun
AU  - Zhenlai Han
AU  - Elvan Akin-Bohner
AU  - Ping Zhao
TI  - Practical Stability in Terms of Two Measures
 for Hybrid Dynamic Systems
JO  - Bulletin of the Polish Academy of Sciences. Mathematics
PY  - 2010
SP  - 221
EP  - 237
VL  - 58
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ba58-3-5/
DO  - 10.4064/ba58-3-5
LA  - en
ID  - 10_4064_ba58_3_5
ER  - 
%0 Journal Article
%A Shurong Sun
%A Zhenlai Han
%A Elvan Akin-Bohner
%A Ping Zhao
%T Practical Stability in Terms of Two Measures
 for Hybrid Dynamic Systems
%J Bulletin of the Polish Academy of Sciences. Mathematics
%D 2010
%P 221-237
%V 58
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/ba58-3-5/
%R 10.4064/ba58-3-5
%G en
%F 10_4064_ba58_3_5
Shurong Sun; Zhenlai Han; Elvan Akin-Bohner; Ping Zhao. Practical Stability in Terms of Two Measures
 for Hybrid Dynamic Systems. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 58 (2010) no. 3, pp. 221-237. doi: 10.4064/ba58-3-5

Cité par Sources :