STABILITY OF NONLINEAR CONTROL SYSTEMS,
MARTIN MARIETTA CORP BALTIMORE MD RESEARCH INST FOR ADVANCED STUDIES
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A concise picture of control stability is presented as it has developed from the method of hiapunov. Elementary work, dealing only with dimensions one and two, is presented first. The theory in the pre-Popov period is presented, with emphasis placed on vectors and matrices. Popovs contribution is presented along with his extensive use of Fourier transforms and advanced analysis. A theorem weaker than Kalmans completion of Popovs second theorem is presented. It rests upon an important lemma due to Yacubovich and its proof follows that of Kalman.