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@article{MZM_1994_56_3_a10, author = {P. Seibert}, title = {The reduction principle in stability theory of dynamical and semidynamical systems}, journal = {Matemati\v{c}eskie zametki}, pages = {134--143}, publisher = {mathdoc}, volume = {56}, number = {3}, year = {1994}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_1994_56_3_a10/} }
P. Seibert. The reduction principle in stability theory of dynamical and semidynamical systems. Matematičeskie zametki, Tome 56 (1994) no. 3, pp. 134-143. http://geodesic.mathdoc.fr/item/MZM_1994_56_3_a10/
[1] Liapounoff A. M., “Problème général de la stabilité du mouvement”, Ann. Fac. Sci. Toulouse, 9:2 (1907), 27–474; Ann. of Math. Studies, 17, Princeton, 1949; original in Russian, Kharkov, 1892 | MR
[2] Pliss V. A., “Printsip svedeniya v teorii ustoichivosti”, Izv. AN SSSR. Ser. matem., 28:6 (1964), 1297–1324 | MR | Zbl
[3] Seibert P., “On Stability relative a set and to the whole space”, $5^{th}$ Int. Conf. on Nonlin. Oscillations, V. 2 (1969), Inst. Mat. Akad. Nauk USSR, Kiev, 1970, 448–457
[4] Seibert P., “Relative stability and stability of closed sets”, Sem. Diff. Equations Dynam. Syst., V. II, Lect. Notes Math., 144, Springer-Verlag, Berlin–Heidelberg–New York, 1970 | MR
[5] Vidyasagar M., “Decomposition techniques for large-scale systems with nonaditive interactions: Stability and stabilizability”, IEEE Trans. Automat. Control, 25 (1980), 773–779 | DOI | MR | Zbl
[6] Sontag E. D., “Remarks on stabilization and input-to-state stability”, Proc. $28^{th}$ Conf. Decision Control (Tampa FL), 1989, 1376–1378 | MR
[7] Seibert P., Suárez R., “Global stabilization of nonlinear cascade systems”, Systems Control Lett., 14 (1990), 347–352 | DOI | MR | Zbl
[8] Ladyzhenskaya O., “Attractors for Semigroups and Evolution Equations”, Accad. Naz. Lincei, Univers. Press, Cambridge, 1991 | Zbl
[9] Kalitin B. S., “K zadache Florio–Seiberta”, Diff. uravneniya, 25:4 (1989), 727–729 | MR | Zbl
[10] Baris Ya. S., Lykova O. B., “Integralnye mnogoobraziya i printsip svedeniya v teorii ustoichivosti, I”, Ukr. matem. zhurn., 41:12 (1989), 1607–1613 | MR
[11] Bhatia N. P., Szegö G. P., Stability Theory of Dynamical Systems, Springer-Verlag, New York–Heidelberg–Berlin, 1970 | Zbl
[12] La Salle J. P., The Stability of Dynamical Systems, Regional Conf. Ser. in Appl. Math., Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1976 | MR
[13] Krasovskii N. N., Stability of Motion, Stanford Univ. Press, Stanford, Calif., 1963; Original, Moscow, 1959