Generalized Gap Metrics and Robust Stability of Nonlinear Systems
Generalized Gap Metrics and Robust Stability of Nonlinear Systems
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.
Bian, Wenming
7fed6a6f-4242-4fdb-9096-cbf73a7d96fc
Bian, Wenming
7fed6a6f-4242-4fdb-9096-cbf73a7d96fc
Bian, Wenming
(2010)
Generalized Gap Metrics and Robust Stability of Nonlinear Systems.
Communication in Applied Analysis.
(Submitted)
Abstract
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.
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Submitted date: June 2010
Additional Information:
Event Dates: 1-4, June, 2010
Venue - Dates:
Emerging Problems in Nonlinear Analysis and Differential Equations: Advances in Theory and Applications, Glasgow, 2010-06-01 - 2010-06-04
Organisations:
Electronics & Computer Science
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Local EPrints ID: 271234
URI: http://eprints.soton.ac.uk/id/eprint/271234
PURE UUID: 88bb77c2-aacc-498c-9ad3-0aa0bec55c1f
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Date deposited: 07 Jun 2010 13:54
Last modified: 14 Mar 2024 09:26
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Author:
Wenming Bian
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