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Global asymptotic stability of the limit cycle in piecewise linear versions of the Goodwin oscillato

Salinas-Varela, AA and Stan, GB and Goncalves, JM (2008) Global asymptotic stability of the limit cycle in piecewise linear versions of the Goodwin oscillato. In: UNSPECIFIED.

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Abstract

Conditions in the form of linear matrix inequalities (LMIs) are used in this paper to guarantee the global asymptotic stability of a limit cycle oscillation for a class of piecewise linear (PWL) systems defined as the feedback interconnection of a saturation controller with a single input, single output (SISO) linear time-invariant (LTI) system. The proposed methodology extends previous results on impact maps and surface Lyapunov functions to the case when the sets of expected switching times are arbitrarily large. The results are illustrated on a PWL version of the Goodwin oscillator. Copyright © 2007 International Federation of Automatic Control All Rights Reserved.

Item Type: Conference or Workshop Item (UNSPECIFIED)
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 17 Jul 2017 19:16
Last Modified: 28 Nov 2019 02:25
DOI: 10.3182/20080706-5-KR-1001.2562