Abstract
Problems are considered of the asymptotic stability of the equilibrium of singular mechanical systems subjected to potential and dissipative forces under conditions of conventional control and alternate control.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
Zhechev, M.M., Equations of Motion of Mechanical Systems Including Elements with Zero Masses, Tekh. Mekh., 1998, no. 6, pp. 125–135.
Zhechev, M.M., Features of Description of Mathematical Models of Mechanical Systems Including Elements with Zero Masses, Tekh. Mekh., 1998, no. 6, pp. 112–124.
Zhechev, M.M., A Speed-Optimal Mobile Control with Small Turns of a Space Vehicle. Part 1. Optimal Control, Avtom. Telemekh., 1995, no. 8, pp. 74–82.
Zhechev, M.M., A Speed-Optimal Mobile Control with Small Turns of a Space Vehicle. Part 2. Optimal Synthesis, Avtom. Telemekh., 1995, no. 9, pp. 22–29.
Zhechev, M.M., Stabilization of the Position of Equilibrium of Autonomous Systems with Alternate Control, Avtomat. Telemekh., 1998, no. 3, pp. 3–9.
Rouche, N., Habets, P., and LaLoy, M., Stability Theory by Liapunov's Direct Method, New York: Springer-Verlag, 1977. Translated under the title Pryamoi metod Lyapunova v teorii ustoichivosti, Moscow: Mir, 1980.
Zhechev, M.M., Mobile Control of a Multilink Mechanism with Massless Links, Tekh. Mekh., 1993, no. 1, pp. 23–31.
Filippov, A.F., Differentsial'nye uravneniya s razryvnoi pravoi chast'yu (Differential Equations with Discontinuous Right Sides), Moscow: Nauka, 1985. Translated into English under the title Differential Equations with Discontinuous Righthand Sides, Boston: Kluwer, 1988.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Zhechev, M.M. Asymptotic Stability of the Equilibrium of Singular Mechanical Systems. Automation and Remote Control 62, 383–390 (2001). https://doi.org/10.1023/A:1002850009892
Issue Date:
DOI: https://doi.org/10.1023/A:1002850009892