Some new results on the oscillatory behavior of impulse and step responses for linear time-invariant systems
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In this paper, we examine the zero crossings of impulse and step responses of linear, time-invariant systems. Of particular interest are positive impulse response transfer functions and nonminimum phase systems. The results presented in this paper provide guidelines for designing controllers that guarantee non-overshooting step response.
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Proceedings of 35th IEEE Conference on Decision and Control