Principle of Vibrational Control: Theory and Applications

IEEE Transactions on Automatic Control

Volumn 25, Issue 4, 1980, Pages 755-762

  Meerkov, Semyon M ^a  

^a ILLINOIS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

VIBRATIONAL CONTROL;

CONTROL SYSTEMS;

EID: 0019045831     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/TAC.1980.1102426     Document Type: Article

References (15)

1. N. N. Boboliubov, On Some Statistical Methods in Mathematical Physics (in Russian). Kiev, Ukr. Acad. Sci. Publishers, 1945.
2. S. M. Meerkov “Averaging of trajectories of slow dynamic systems,” Differential Equations, vol. 9, pp. 1239–1245, 1973.
3. —, “Vibrational control theory,” J. Franklin Inst., pp. 117–128, 1977.
4. M. S. Livingston, High-Energy Accelerators. New York: Wiley-Interscience, 1954.
5. A. M. Soroka and G. I. Shapiro “Ionisation thermal instability in the glow discharge plasma,” Phys. Plasma, vol. 6, pp. 879–883, 1975.
6. 2laser,” Automat. Remote Contr., vol. 37, pp. 821–830, 1976.
7. S. M. Osovets “Dynamic methods of retention and stabilization of plasma,” Uspehi Fizicheskih Nauk, vol. 112, pp. 637–684, 1974.
8. B. P. Demidovich, Lectures on Mathematical Theory of Stability (in Russian). Moscow: Nauka, 1967, p. 167.
9. R. Gabasov and F. Kirillova, Qualitative Theory of Optimal Processes (in Russian). Moscow: Nauka, 1971.
10. D. Graupe, Identification of Systems. Huntington, NY: Krieger, 1976.
11. S. M. Meerkov and M. Yu. Tsitkin “The effectiveness of the method of vibrational control for the dynamic systems of the order n,” Automat. Remote Contr., vol. 36, pp. 525–529, 1975.
12. S. M. Meerkov “Vibrational control,” Automat. Remote Contr., vol. 34, pp. 201–209, 1973.
13. I. A. Generalov, V. P. Zimakov, V. D. Kosinkin, Yu. P. Raizer, and D. I. Roitenburt, “A method for substantial increase of discharge stability in fast flux large volume laser,” Pis'ma o Zurnal Technicheskoi Fiziki, vol. 1, 1975.
14. M. A. Leibowits “Statistical behavior of linear systems with randomly varying parameters,” J. Math. Phys., vol. 4, pp. 852–858, 1963.
15. R. Z. Khasminsky, Stability of Systems of Differential Equations with Random Disturbances of Their Parameters (in Russian). Moscow: Nauka, 1969.