On the Aizerman problem

Automation and Remote Control

Volumn 70, Issue 7, 2009, Pages 1120-1131

  Leonov, G A ^a  

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

AUTOMATION;

DEGENERATE CASE; HARMONIC LINEARIZATION; PERIODIC OSCILLATION; ROUTH-HURWITZ;

CONTROL;

EID: 68549130878     PISSN: 00051179     EISSN: None     Source Type: Journal    
DOI: 10.1134/S0005117909070042     Document Type: Conference Paper

References (11)

1. M.A. Aizerman 1949 On One Problem Concerning the Stability in "Large" of Dynamic Systems Usp. Mat. Nauk 4 issue4 186 188
2. Aizerman, M.A. and Gantmacher, F.R., Absolyutnaya ustoichivost' reguliruemykh sistem (Absolute Stability of Adjustable Systems), Moscow: Akad. Nauk SSSR, 1963.
3. Liberzon, M.R., Essays on the Absolute Stability Theory, Autom. Remote Control, 2006, no. 10, pp. 1610-1644.
4. G.A. Leonov 1970 On Necessity of the Frequency Condition of Absolute Stability of Stationary Systems in the Critical Case of the Pair of Pure Imaginary Roots Dokl. Akad. Nauk SSSR 193 4 756 759
5. Leonov, G.A., Burkin, I.M., and Shepelyavyi, A.I., Frequency Methods in Oscillation Theory, Dordrect: Kluver, 1993.
6. Leonov, G.A., Ponomarenko, D.V., and Smirnova, V.B., Frequency Methods for Nonlinear Analysis. Theory and Applications, Singapore: World Scientific, 1996.
7. Leonov, G.A., On the Method of Harmonic Linearization, Autom. Remote Control, 2009, no. 5, pp. 800-810.
8. Malkin, I.G., Ustoichivost' dvizheniya (Motion Stability), Moscow: Nauka, 1966.
9. Gelig, A.Kh., Leonov, G.A., and Yakubovich, V.A., Ustoichivost' nelineinykh system s needinstvennym sostoyaniem ravnovesiya (Stability of Nonlinear Systems with the Nonunique Equilibrium State), Moscow: Nauka, 1978.
10. Metody issledovaniya nelineinykh sistem avtomaticheskogo upravleniya (Methods of Investigation of Nonlinear Automatic Control Systems), Nelepin, R.A., Ed., Moscow: Nauka, 1975.
11. Pliss, V.A., Nekotorye problemy teorii ustoichivosti dvizheniya (Some Problems of Theory of Motion Stability), Leningrad: Leningr. Gos. Univ., 1958.