On the asymptotic stability of equilibria of nonlinear mechanical systems with delay

Author:

Aleksandrov A. Yu.,Zhabko A. P.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics,Analysis

Reference22 articles.

1. Vorotnikov, V.I. and Rumyantsev, V.V., Ustoichivost’ i upravlenie po chasti koordinat fazovogo vektora dinamicheskikh sistem: teoriya, metody i prilozheniya (Stability and Control with Respect to Part of the Coordinates of the Phase Vector of Dynamical Systems: Theory, Methods, and Applications), Moscow: Nauchnyi Mir, 2001.

2. El’sgol’ts, L.E. and Norkin, S.B., Vvedenie v teoriyu differentsial’nykh uravnenii s otklonyayushchimsya argumentom (Introduction to the Theory of Differential Equations with Deviating Arguments), Moscow: Nauka, 1971.

3. Krasovskii, N.N., Nekotorye zadachi teorii ustoichivosti dvizheniya (Certain Problems in the Theory of Stability of Motion), Moscow: Gosudarstv. Izdat. Fiz.-Mat. Lit., 1959.

4. Hale, J., Theory of Functional Differential Equations, New York: Springer, 1977. Translated under the title Teoriya funktsional’no-differentsial’nykh uravnenii, Moscow: Mir, 1984.

5. Kharitonov, V.L., Lyapunov Functionals with a Given Derivative. I. Functionals of the Complete Type, Vestn. St.-Peterburg. Univ. Ser. 10, 2005, no. 1, pp. 110–117.

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