Construction of a smooth Lyapunov function for an asymptotically stable set
Nadzieja, Tadek
Czechoslovak Mathematical Journal, Tome 40 (1990), p. 195-199 / Harvested from Czech Digital Mathematics Library
Publié le : 1990-01-01
Classification:  34C40,  34D20,  58F10
@article{102373,
     author = {Tadek Nadzieja},
     title = {Construction of a smooth Lyapunov function for an asymptotically stable set},
     journal = {Czechoslovak Mathematical Journal},
     volume = {40},
     year = {1990},
     pages = {195-199},
     zbl = {0714.58028},
     mrnumber = {1046287},
     language = {en},
     url = {http://dml.mathdoc.fr/item/102373}
}
Nadzieja, Tadek. Construction of a smooth Lyapunov function for an asymptotically stable set. Czechoslovak Mathematical Journal, Tome 40 (1990) pp. 195-199. http://gdmltest.u-ga.fr/item/102373/

N. P. Bhatia G. P. Szegö Stability Theory of Dynamical Systems, Springer-Verlag, Berlin-Heidelberg-New York 1970. (1970) | MR 0289890

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. (1956)

J. L. Massera Contributions to stability theory, Ann. of Math. 64 (1956), 182-206; Erratum, Ann. of Math. 68 (1958), 202. (1956) | Article | MR 0079179 | Zbl 0070.31003

J. L. Massera Converse theorems of Lyapunov's second method, Symp. Intern. Ecuac. Dif. Ordin., Mexixo 1961 (1962), 158-163. (1961) | MR 0132259

K. P. Persidskii On a theorem of Lyapunov, Dokl. Akad. Nauk SSSR 14 (1937), 541-544 (in Russian). (1937)

F. W. Wilson Smoothing derivatives of functions and applications, Trans. Am. Math. Soc. 139 (1969), 413-428. (1969) | Article | MR 0251747 | Zbl 0175.20203

V. I. Zubov Methods of A. M. Lyapunov and their Application, Leningrad 1957 (in Russian). English transl.: Groningen 1964. (1957) | MR 0086966