System Optimization by Periodic Control.
Interim rept. 1 Oct 77-30 Sep 78,
MICHIGAN UNIV ANN ARBOR DEPT OF AEROSPACE ENGINEERING
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Eight papers were published or prepared for publication during the period of this report. Two papers received the O.H. Schuck Award of the American Automatic Control Council for being the best papers at the 1977 Joint Automatic Control Conference. Second order conditions for optimality were considered and a frequency domain test the pi test was obtained to show that periodic operation may be better than optimal steady-state operation. The work begun on nonlinear systems and realization theory has been carried further. Results have shown how to go from the specification of a nonlinear inputoutput map in terms of its Volterra transfer functions to a minimal realization in state bilinear form for discrete-time systems. The investigation of backward shift realizations for nonlinear systems has stimulated new thoughts on its use in linear system theory. This has resulted in a comprehensive view of such topics as - minimal realization, minimal partial realizations, minimal realizations in the infinite dimensional case, and canonical forms. Author
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