| Title:
|
Construction of a smooth Lyapunov function for an asymptotically stable set (English) |
| Author:
|
Nadzieja, Tadek |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
40 |
| Issue:
|
2 |
| Year:
|
1990 |
| Pages:
|
195-199 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C40 |
| MSC:
|
34D20 |
| MSC:
|
58F10 |
| idZBL:
|
Zbl 0714.58028 |
| idMR:
|
MR1046287 |
| DOI:
|
10.21136/CMJ.1990.102373 |
| . |
| Date available:
|
2008-06-09T15:32:17Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102373 |
| . |
| Reference:
|
[1] N. P. Bhatia G. P. Szegö: Stability Theory of Dynamical Systems.Springer-Verlag, Berlin-Heidelberg-New York 1970. MR 0289890 |
| Reference:
|
[2] J. Kurzweil: On the inversion of Lyapunov's second theorem on stability of motion.Czechoslovak Math. J. 81 (1956), 217-259, 455-473 (in Russian; Summary in English, ibidem, 474-484). English transl.: Amer. Math. Soc. Transl., Ser. II, 24 (1963), 19-77. |
| Reference:
|
[3] J. L. Massera: Contributions to stability theory.Ann. of Math. 64 (1956), 182-206; Erratum, Ann. of Math. 68 (1958), 202. Zbl 0070.31003, MR 0079179, 10.2307/1969955 |
| Reference:
|
[4] J. L. Massera: Converse theorems of Lyapunov's second method.Symp. Intern. Ecuac. Dif. Ordin., Mexixo 1961 (1962), 158-163. MR 0132259 |
| Reference:
|
[5] K. P. Persidskii: On a theorem of Lyapunov.Dokl. Akad. Nauk SSSR 14 (1937), 541-544 (in Russian). |
| Reference:
|
[6] F. W. Wilson: Smoothing derivatives of functions and applications.Trans. Am. Math. Soc. 139 (1969), 413-428. Zbl 0175.20203, MR 0251747, 10.1090/S0002-9947-1969-0251747-9 |
| Reference:
|
[7] V. I. Zubov: Methods of A. M. Lyapunov and their Application.Leningrad 1957 (in Russian). English transl.: Groningen 1964. MR 0086966 |
| . |
