Literature Cited
V. I. Goncharenko, “Statement of problem of a shims wheel with a three-stage suspension, and its propagation in the case of including dry friction in a rotation junction,” Vsesoyuz. Inst. Nauch. Tekhn. Inform., Moscow (1980).
V. F. Zadorozhnyi and A. A. Martynyuk, “Solution of the general aggregation problem as a moment problem,” Mat. Fiz., No. 14, 49 (1973).
M. V. Keldysh, “Shims of the leading of a three-wheel chasis,” Tr. Tsentr. Aerogidrodinam. Inst., No. 564, 1 (1945).
N. N. Krasovskii, Problems in the Theory of Stability of Motion [in Russian], Fizmatgiz (1959).
A. A. Martynyuk, Stability of Motion of Complex Systems [in Russian], Naukova Dumka, Kiev (1975).
A. A. Martynyuk and A. Yu. Obolenskii, “Stability of autonomous Wazewski systems,” Diff. Uravn.,16, 1392 (1980).
V. M. Matrosov, “Method of Lyapunov vector functions in systems with inverse coupling,” Avtomat. Telemekh., No. 9, 63 (1972).
Yu. I. Neimark and N. A. Fufaev, “Stability of curvilinear motion of equipment of balloon wheels,” Prikl. Mat. Mekh.,35, 899 (1971).
A. A. Tikhonov, “Stability of motion for constantly acting perturbations,” Vestn. Leningr. Univ.,7, 95 (1965).
A. N. Michel and R. K. Miller, Qualitative Analysis of Large-Scale Dynamical Systems, Academic Press, New York (1977).
D. D. Siljak, Large-Scale Dynamical Systems, New York (1978).
T. Wazewski, “Systems of ordinary differential equations and inequalities of two monotonic members and their applications,” [in French], Ann. Soc. Polon. Mat.,23, 112 (1950).
Additional information
Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 17, No. 12, pp. 97–102, December, 1981.
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Martynyuk, A.A., Nikitina, N.V. Nonlinear comparison systems in stability problems of large-scale systems. Soviet Applied Mechanics 17, 1123–1128 (1981). https://doi.org/10.1007/BF00885183
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DOI: https://doi.org/10.1007/BF00885183