On the harmonic linearization method

Doklady Mathematics

Volumn 79, Issue 1, 2009, Pages 144-146

  Leonov, G A ^a  

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

DOMAIN OF ATTRACTION; HARMONIC LINEARIZATION; MULTI-STEP PROCEDURES; PERIODIC OSCILLATION; PERIODIC SOLUTION; POINCARE; SMALL PARAMETER METHOD; STABILITY LOSS;

LINEARIZATION; NUMERICAL METHODS;

HARMONIC ANALYSIS;

EID: 66749192144     PISSN: 10645624     EISSN: None     Source Type: Journal    
DOI: 10.1134/S1064562409010426     Document Type: Article

References (10)

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2. E. P. Popov, The Theory of Nonlinear Automatic Control and Adjustment Systems (Nauka, Moscow, 1979) [in Russian].
3. A. A. Pervozvanskii, A Course in the Theory of Automatic Control (Nauka, Moscow, 1986) [in Russian].
4. H. K. Khalil, Nonlinear Systems (Prentice Hall, Englewood Cliffs, N.J., 2002).
5. I. G. Malkin, Stability of Motion (Nauka, Moscow, 1966) [in Russian].
6. M. A. Aizerman and F. B. Gantmakher, The Absolute Stability of Adjustable Systems (Akad. Nauk SSSR, Moscow, 1963) [in Russian].
7. G. A. Leonov, I. M. Burkin, and A. I. Shepelyavy, Frequency Methods in Oscillation Theory (Kluwer, Dordrecht, 1996).
8. G. A. Leonov, D. V. Ponomarenko, and V. B. Smirnova, Frequency-Domain Methods for Nonlinear Analysis. Theory and Applications (World Sci., Singapore, 1996).
9. B. A. Aizerman 1949 Usp. Mat. Nauk 4 4 186 188
10. V. A. Pliss, Some Problems of the Theory of Global Stability of Motion (Leningr. Gos. Univ., Leningrad, 1958) [in Russian].