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RESEARCH PAPERS

Space Sampling Effects in Nonlinear Distributed System Stability

[+] Author and Article Information
Guy Jumarie

Department of Mathematics, Université du Québec à Montréal, Montréal H3C 3P8, Canada

J. Dyn. Sys., Meas., Control 103(1), 54-60 (Mar 01, 1981) (7 pages) doi:10.1115/1.3139643 History: Received December 22, 1980; Online July 21, 2009

Abstract

The purpose of this paper is to determine, from a practical point of view, the effects of a space sampling on the input-output stability, and the absolute stability of distributed parameter systems with distributed control. Three models are proposed which involve, respectively, transfer functions in space and time, Laplace-Green’s functions, and distributed transfer functions. It is shown that the first model is the most pessimistic, but in contrast is the easiest to use. While the first model applies to system with constant coefficients only, the other ones can be used with constant or space dependent coefficients.

Copyright © 1981 by ASME
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