Literature Cited
A. A. Martynyuk, The Practical Stability of Motion [in Russian], Naukova Dumka, Kiev (1983).
A. A. Martynyuk, “The Lyapunov matrix function and stability of hybrid systems,” Prikl. Mekh.,21, No. 4, 89–96 (1985).
P. Borne, Contribution a l'etude des systemes discrets nonlineaire de grande dimensions. Application aux systemes interconnectes. These de Doctorat es Science, Lille, France (1976).
J. C. Gentina, Contribution a L'analyse et a la synthese des systemes continus non lineaires de grande dimension. These de Doctorat es Sciences, Lille, France (1976).
Lj. T. Grujič, “Practical stability with the settling time of composite system,” Automatica,9, No. 1, 1–11 (1975).
A. A. Martynyuk, “Lyapunov matrix function and stability theory,” in: Proc. IMACS-IFAC Symp. (June 3–6, 1986), IDN, Villeneuve d'Ascq, France, pp. 261–265.
A. A. Martynyuk, “The Lyapunov matrix function and stability of hybrid systems,” Nonlinear Anal.,10, No. 12, 1449–1457 (1986).
Additional information
Communicated at the 12th IMACS World Congress on scientific computations (Paris, July 1988).
Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 25, No. 2, pp. 101–107, February, 1989.
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Martynyuk, A.A. Practical stability of hybrid systems. Soviet Applied Mechanics 25, 194–200 (1989). https://doi.org/10.1007/BF00888136
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DOI: https://doi.org/10.1007/BF00888136