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dc.contributor.advisor de Figueiredo, Rui J. P.
dc.creatorDutertre, Jacques Andre
dc.date.accessioned 2016-04-21T12:02:18Z
dc.date.available 2016-04-21T12:02:18Z
dc.date.issued 1968
dc.identifier.citation Dutertre, Jacques Andre. "On asymptotic stability properties of direct control systems with a feedback characteristic lying partly outside the Hurwitz sector." (1968) Master’s Thesis, Rice University. https://hdl.handle.net/1911/89374.
dc.identifier.urihttps://hdl.handle.net/1911/89374
dc.description.abstract In his original work,Popov developped a simple frequency domain criterion by which global asymptotic stability of a nonlinear control system is guaranteed for all nonlinearities lying inside a certain sector called the Popov sector. Following this result, particular attention has been devoted in the scientific literature to the cases in which the Popov sector differs from the Hurwitz sector, this with a view to establishing additional conditions on the nonlinearity that may permit the so-called Aizerman conjecture to be verified. In the present work, second order nonlinear control problems, with finite Popov sector, are investigated with respect to asymptotic stability of the origin for nonlinear feedback characteristics lying partly outside the Popov-Hurwitz sector, which seems to be a new viewpoint. A new kind of stability ,near asymptotic stability is introduced and studied for second order control systems with a piecewise linear feedback characteristic and is extended to systems with a general feedback characteristic of the type mentioned above. A theorem is given which permits to predict near asymptotic stability for such second order systems. All the studies carried out in this work are obtained through the use of a state space approach and their validity is illustrated both by analog and digital computer solutions.
dc.format.extent 58 pp
dc.language.iso eng
dc.title On asymptotic stability properties of direct control systems with a feedback characteristic lying partly outside the Hurwitz sector
dc.type Thesis
dc.identifier.digital RICE0412
dc.type.material Text
thesis.degree.department Electrical Engineering
thesis.degree.discipline Engineering
thesis.degree.grantor Rice University
thesis.degree.level Masters
thesis.degree.name Master of Science
dc.format.digitalOrigin reformatted digital
dc.identifier.callno Thesis E.E. 1968 DUTERTRE


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