Stability of Fast Periodic Systems

IEEE Transactions on Automatic Control

Volumn 30, Issue 3, 1985, Pages 289-291

  Bellman, Richard ^a   Bentsman, Joseph ^b   Meerkov, Semyon M ^b  

^a UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEMS, LINEAR;

CONSTANT MATRIX; FAST PERIODIC SYSTEMS; STABILITY CRITERION;

SYSTEM STABILITY;

EID: 0022026447     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/TAC.1985.1103936     Document Type: Article

References (11)

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3. R. A. Skoog and C. G. Y. Lau, Instability of slowly varying systems, IEEE Trans. Automaf. Contr., vol. AC-17, pp. 86-92, Feb. 1972
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7. N. N. Bogoliubov and Yu. A. Mitropolsky, Asymptotic Methods in the Theory of Nonlinear Oscillations. New York: Gordon and Breach, 1961.
8. R. Bellman, Stability Theory of Differential Equations. New York: McGraw-Hill, 1953.
9. M. A. Krasnosel’skii, V. Sh. Burd, and Yu. S. Kolesov, Nonlinear Almost Periodic Oscillations. New York: Wiley, 1973.
10. S. M. Meerkov, “Averaging of trajectories of slow dynamic systems,” J. Differential Equations, vol. 9, pp. 1239–1245, 1973.
11. M.-Y. Wu, “Some new results in linear time-varying systems,” IEEE Trans. Automat. Contr., vol. AC-20, pp. 159–161, Feb. 1975.