Generalized Gap Metrics and Robust Stability of Nonlinear Systems

Bian, Wenming (2010) Generalized Gap Metrics and Robust Stability of Nonlinear Systems. Communication in Applied Analysis (to appear)


A gap metric of Georgiou and Smith (IEEE Trans. Auto. Control, 42(9):1200--1229, 1997), which does not need causal and surjective mapping between graphs to define, is studied and generalized based on the notion of biased norm, the corresponding robust stability theorem is presented in the notion of stability with bias terms. The obtained results are then applied to studied the stability of linear system realizations, semilinear systems with bounded nonlinearities and a nonlinear system with time delay in the inputs.

Item Type: Article
Additional Information: Event Dates: 1-4, June, 2010
Divisions : Faculty of Physical Sciences and Engineering > Electronics and Computer Science
ePrint ID: 271234
Accepted Date and Publication Date:
June 2010Submitted
Date Deposited: 07 Jun 2010 13:54
Last Modified: 31 Mar 2016 14:18
Further Information:Google Scholar

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