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Theory of the potential energy boundary surface

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4 Author(s)
Hsiao-dong Chiang ; University of California, Berkely, CA ; Felix F. Wu ; Pravin P. Varaiya ; Chin-woo Tan

In this paper we provide a theoretical foundation of the PEBS method. First, we study the properties of the stability boundary of a gradient system. We then relate the stability boundary of a class of second-order dynamical systems to the gradient system. Using these results, we analyze the PEBS method. Conditions under which the PEBS method gives accurate stability estimate are discussed.

Published in:

Decision and Control, 1985 24th IEEE Conference on

Date of Conference:

11-13 Dec. 1985