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The Nyquist criterion for LTI time-delay systems

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dc.title The Nyquist criterion for LTI time-delay systems en
dc.contributor.author Pekař, Libor
dc.contributor.author Matušů, Radek
dc.contributor.author Dostálek, Petr
dc.contributor.author Dolinay, Jan
dc.relation.ispartof Recent Researches in Automatic Control - 13th WSEAS International Conference on Automatic Control, Modelling and Simulation, ACMOS'11
dc.identifier.isbn 978-1-61804-004-6
dc.date.issued 2011
dc.citation.spage 80
dc.citation.epage 85
dc.event.title 13th WSEAS International Conference on Automatic Control, Modelling and Simulation, ACMOS'11
dc.event.location Lanzarote, Canary Islands
utb.event.state-en Spain
utb.event.state-cs Španělsko
dc.event.sdate 2011-05-27
dc.event.edate 2011-05-29
dc.type conferenceObject
dc.language.iso en
dc.relation.uri http://www.wseas.us/e-library/conferences/2011/Lanzarote/ACMOS/ACMOS-12.pdf
dc.subject Gain margin en
dc.subject Nyquist criterion en
dc.subject Quasipolynomial en
dc.subject Stability en
dc.subject Stabilization en
dc.subject Time-delay systems en
dc.description.abstract This paper extends results about stability and stabilization of a retarded quasipolynomial obtained using the Mikhaylov criterion earlier. Retarded quasipolynomials appear as numerators and denominators of linear time-invariant time-delay systems (LTI-TDS). A LTI-TDS system of retarded type (destitute of distributed delays) is said to be stable if all roots of its characteristic quasipolynomial are located in the open left-half complex plane. The contribution transforms the formulation of spectrum assignment of a characteristic quasipolynomial into the language of the Nyquist criterion for the open loop of a control system. Again, the argument principle is utilized to derive generalized Nyquist criterion for LTI-TDS. Stability measures related to the criterion are discussed with the specifications for LTI-TDS. An illustrative example is presented to illuminate the results. en
utb.faculty Faculty of Applied Informatics
dc.identifier.uri http://hdl.handle.net/10563/1004817
utb.identifier.obdid 43865907
utb.identifier.scopus 2-s2.0-80055041876
utb.source d-scopus
dc.date.accessioned 2015-06-04T12:55:36Z
dc.date.available 2015-06-04T12:55:36Z
utb.contributor.internalauthor Pekař, Libor
utb.contributor.internalauthor Matušů, Radek
utb.contributor.internalauthor Dostálek, Petr
utb.contributor.internalauthor Dolinay, Jan
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