Numerical sliding bifurcation analysis: An application to a relay control system

Dercole, F., Gragnani, A., Kuznetsov, Y.A., & Rinaldi, S. (2003). Numerical sliding bifurcation analysis: An application to a relay control system. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 50 (8) 1058-1063. 10.1109/TCSI.2003.815214.

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This paper is devoted to the study of the long-term dynamic behavior of exploited renewable resources. The focus is on the case of protected resources, namely resources that can not be harvested when they are too scarce. The model is a controlled system composed of a nonlinear second-order single-input-single-output system and an on-off feedback controller. Thus, the model belongs to the class of discontinuous piecewise-smooth autonomous systems for which bifurcation theory has been recently extended. The analysis is performed through the numerical continuation of the sliding bifurcations of the system, for which specialized software has been developed. The results show that for suitable combinations of the parameters the system can have multiple attractors.

Item Type: Article
Research Programs: Adaptive Dynamics Network (ADN)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 02:15
Last Modified: 31 Aug 2016 13:58

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