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The describing function for bounded nonlinearities

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1 Author(s)

We consider an autonomous single-loop feedback system where the nonlinear element is assumed to be a continuous bounded function. Sufficient conditions are obtained for the existence and nonexistence of an oscillation of the system in terms of the describing function criterion. In addition to the qualitative existence results, error bounds on some pertinent oscillation parameters are computed. A graphical procedure is developed to aid in the application of these results.

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Circuits and Systems, IEEE Transactions on  (Volume:28 ,  Issue: 5 )