FURTHER RESULT ON PERFORMANCE DEGRADATION FOR NONLINEAR MULTIVARIABLE SYSTEMS.

In an earlier paper, the authors derived bounds on the worst-case deviation that the response of a nonlinear multivariable system can make from its nominal (linear) response. The technique presented there makes use of the properties of L//2 norms of truncated functions and recently developed matrix...

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Bibliographic Details
Main Authors: Harrison, R, Kouvaritakis, B
Format: Journal article
Language:English
Published: 1988
Description
Summary:In an earlier paper, the authors derived bounds on the worst-case deviation that the response of a nonlinear multivariable system can make from its nominal (linear) response. The technique presented there makes use of the properties of L//2 norms of truncated functions and recently developed matrix scaling techniques to reduce the conservatism which derives from the multivariable nature of the problem. The result thus obtained may be computed for any time point and provides time-dependent bounds on the system response functions. The paper presents a refinement of the earlier method and shows, by means of an example, that the new bounds can be significantly less conservative during the transients than those proposed in the earlier paper.