Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.automatica.2004.06.005
Title: Stability regions for constrained nonlinear systems and their functional characterization via support-vector-machine learning
Authors: Ong, C.J. 
Keerthi, S.S.
Gilbert, E.G.
Zhang, Z.H.
Keywords: Constrained nonlinear system
Stability region
Support vector machine
Issue Date: Nov-2004
Source: Ong, C.J., Keerthi, S.S., Gilbert, E.G., Zhang, Z.H. (2004-11). Stability regions for constrained nonlinear systems and their functional characterization via support-vector-machine learning. Automatica 40 (11) : 1955-1964. ScholarBank@NUS Repository. https://doi.org/10.1016/j.automatica.2004.06.005
Abstract: This paper develops a computational approach for characterizing the stability regions of constrained nonlinear systems. A decision function is constructed that allows arbitrary initial states to be queried for inclusion within the stability region. Data essential to the construction process are generated by simulating the nonlinear system with multiple initial states. Using special procedures based on known properties of the stability region, the state data are randomly selected so that they are concentrated in desirable locations near the boundary of the stability region. Selected states belong either to the stability region or do not, thus producing a two-class pattern recognition problem. Support vector machine learning, applied to this problem, determines the decision function. Special techniques are introduced that significantly improve the accuracy and efficiency of the learning process. Numerical examples illustrate the effectiveness of the overall approach. © 2004 Elsevier Ltd. All rights reserved.
Source Title: Automatica
URI: http://scholarbank.nus.edu.sg/handle/10635/61360
ISSN: 00051098
DOI: 10.1016/j.automatica.2004.06.005
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