Algorithm for constructing counterexamples to the Kalman problem

Doklady Mathematics

Volumn 82, Issue 1, 2010, Pages 540-542

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

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ABSOLUTE STABILITY; COMPUTATIONAL PROCEDURES; DOMAIN OF ATTRACTION; INCREASING FUNCTIONS; NON-LINEARITY; PERIODIC SOLUTION; STABLE SOLUTIONS;

ALGORITHMS; DYNAMICAL SYSTEMS; NONLINEAR DYNAMICAL SYSTEMS; PROBLEM SOLVING;

CONTROL SYSTEM STABILITY;

EID: 77956048305     PISSN: 10645624     EISSN: None     Source Type: Journal    
DOI: 10.1134/S1064562410040101     Document Type: Article

References (11)

1. S. Lefschetz, Stability of Nonlinear Control Systems (Academic, New York, 1965; Mir, Moscow, 1967).
2. R. E. Kalman 1957 Trans. ASME 79 553 566 88420
3. M. A. Aizerman and F. R. Gantmakher, Absolute Stability of Controlled Systems (Akad. Nauk SSSR, Moscow, 1963) [in Russian].
4. G. A. Leonov, D. V. Ponomarenko, and V. B. Smirnova, Frequency Methods for Nonlinear Analysis: Theory and Applications (World Scientific, Singapore, 1996).
5. R. E. Fitts 1966 IEEE Trans. Autom. Control 11 553 556 10.1109/TAC.1966.1098369
6. N. E. Barabanov 1988 Sib. Mat. Zh. 29 3 3 11 953016
7. "In Moscow Mathematical Society," Usp. Mat. Nauk 53(2), 169-172 (1998).
8. J. Bernat J. Llibre 1996 Dyn. Continuous, Discrete Impulsive Syst. 2 337 379 0889.34047 1411771
9. G. A. Leonov 1970 Dokl. Akad. Nauk SSSR 193 756 759 268466
10. G. A. Leonov, I. M. Burkin, and A. I. Shepelyavyi, Frequency-Domain Methods in Oscillation Theory (Kluwer, Dordrecht, 1993).
11. G. A. Leonov, Avtom. Telemekh., No. 7, 37-49 (2009).