Abstract
Introduction I NSTABILITIES in linear systems can be generated by changing the parameters of the system periodically. This phenomenon is called parametric excitation. Perhaps the best known example is the Mathieu equation (see McLachlan). Parametric excitation can also occur in adaptive systems, Even the simplest cases are very hard to analyze analytically. Attempts to compute the stability regions have been made earlier (see James). These results have been used as examples in, e.g., Mareels and Astrom. However, the results presented in James' paper are not completely accurate, as a new investigation has shown.
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