On problems of Aizerman and Kalman

Vestnik St. Petersburg University: Mathematics

Volumn 43, Issue 3, 2010, Pages 148-162

  Leonov, G A ^a   Kuznetsov, N V ^a   Bragin, V O ^a  

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

Author keywords

absolute stability; Aizerman conjecture; hidden oscillations; Kalman conjecture; periodic solutions

Indexed keywords

EID: 84859726147     PISSN: 10634541     EISSN: 19347855     Source Type: Journal    
DOI: 10.3103/S1063454110030052     Document Type: Article

References (18)

1. M. A. Aizerman, Usp. Mat. Nauk 4(4), 186-188 (1949).
2. R. E. Kalman, Trans. ASME 79(3), 553-566 (1957).
3. V. A. Pliss, Some Problems of Motion Stability Theory (Izd. Leningrad. Univ., Leningrad, 1958).
4. E. Noldus, Int. J. Control 12(4) (1970).
5. G. A. Leonov, Dokl. Akad. Nauk SSSR 193, 756-759 (1970).
6. G. A. Leonov, I. M. Burkin, and A. I. Shepelyavyi, Frequency Methods in Oscillation Theory (Kluwer, Dordrecht, 1993).
7. G. A. Leonov, D. V. Ponomarenko, and V. B. Smirnova, Frequency Methods for Nonlinear Analysis. Theory and Applications (World Sci., Singapore, 1996).
8. G. A. Leonov, Prikl. Mat. Mekh. 74(1), 37-73 (2010).
9. S. Lefschetz, Stability of Nonlinear Control Systems (Academic, New York, 1965; Mir, Moscow, 1967).
10. R. E. Fitts, Trans. IEEE AC-11(3), 553-556 (1966).
11. Usp. Mat. Nauk 37(1), 163-167 (1982).
12. N. E. Barabanov, Sibirsk. Mat. Zh. 29(3), 3-11 (1988).
13. J. Bernat and J. Llibre, Dyn. Continuous Discrete Impulsive Syst. 2(3), 337-379 (1996).
14. G. Meisters, http://www. math. unl. edu/gmeisters1/papers/HK1996. pdf (1996).
15. Usp. Mat. Nauk 53(2), 169-172 (1998).
16. G. A. Leonov, Avtom. Telemekh., No. 7, 37-49 (2009).
17. G. A. Leonov, V. O. Bragin, and N. V. Kuznetsov, Doklady Mathematics 82(1) (2010).
18. G. A. Leonov, V. I. Vagaitsev, and N. V. Kuznetsov, Doklady Mathematics 82(1) (2010).