A Bound on the Impulse Response of Stable Rational Plants

[+] Author and Article Information
C. R. MacCluer

Department of Mathematics, Michigan State University, East Lansing, MI 48824

J. Dyn. Sys., Meas., Control 113(2), 315-316 (Jun 01, 1991) (2 pages) doi:10.1115/1.2896382 History: Received January 01, 1989; Online March 17, 2008


The magnitude of the impulse response of a strictly proper stable rational plant at time t is estimated to be of order 0(1/t) where the implied constant is explicitly given in terms of the spectral energy and the real parts of the zeros and poles. When exact location of poles and zeros is uncertain, this estimate can usefully replace the actual but uncertain exponential decay.

Copyright © 1991 by The American Society of Mechanical Engineers
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