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Construction of a smooth Lyapunov function for an asymptotically stable set
Czechoslovak Mathematical Journal, Tome 40 (1990) no. 2, pp. 195-199
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DOI : 10.21136/CMJ.1990.102373
Classification : 34C40, 34D20, 58F10 
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Nadzieja, Tadek. Construction of a smooth Lyapunov function for an asymptotically stable set. Czechoslovak Mathematical Journal, Tome 40 (1990) no. 2, pp. 195-199. doi: 10.21136/CMJ.1990.102373

[1] N. P. Bhatia G. P. Szegö: Stability Theory of Dynamical Systems. Springer-Verlag, Berlin-Heidelberg-New York 1970. | MR

[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.

[3] J. L. Massera: Contributions to stability theory. Ann. of Math. 64 (1956), 182-206; Erratum, Ann. of Math. 68 (1958), 202. | DOI | MR | Zbl

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

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

[6] F. W. Wilson: Smoothing derivatives of functions and applications. Trans. Am. Math. Soc. 139 (1969), 413-428. | DOI | MR | Zbl

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

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