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A stability test for control systems with delays based on the Nyquist criterion

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dc.title A stability test for control systems with delays based on the Nyquist criterion en
dc.contributor.author Pekař, Libor
dc.contributor.author Prokop, Roman
dc.contributor.author Matušů, Radek
dc.relation.ispartof International Journal of Mathematical Models and Methods in Applied Sciences
dc.identifier.issn 1998-0140 Scopus Sources, Sherpa/RoMEO, JCR
dc.date.issued 2011
utb.relation.volume 5
utb.relation.issue 7
dc.citation.spage 1213
dc.citation.epage 1224
dc.type article
dc.language.iso en
dc.relation.uri http://www.naun.org/main/NAUN/ijmmas/17-128.pdf
dc.subject argument principle en
dc.subject distributed delays en
dc.subject Nyquist criterion en
dc.subject stability en
dc.subject stabilization en
dc.subject time delay systems en
dc.description.abstract The aim of this contribution is to revise and extend results about stability and stabilization of a retarded quasipolynomial and systems obtained using the Mikhaylov criterion in our papers earlier. Not only retarded linear time-invariant time-delay systems (LTI-TDS) are considered in this paper; neutral as well as distributeddelay systems are the matter of the research. A LTI-TDS system of retarded type is said to be asymptotically stable if all its poles rest in the open left half plane. Asymptotic stability of neutral systems described by its spectrum is not sufficient to express the notion of stability at whole since neutral LTI-TDS are sensitive to infinitesimal delay changes. This yields the concept of so called strong stability involving this fact. Moreover, stability can not be studied using the characteristic quasipolynomial when distributed delays in either input-output or internal relation appear in a model. The contribution transforms the formulation of the Mikhaylov criterion (the argument principle) into the language of the Nyquist criterion for the open loop of a control system. The classical simple feedback loop is considered. Illustrative examples are presented to clarify the results. en
utb.faculty Faculty of Applied Informatics
dc.identifier.uri http://hdl.handle.net/10563/1002619
utb.identifier.rivid RIV/70883521:28140/11:43865977!RIV12-MSM-28140___
utb.identifier.obdid 43865997
utb.identifier.scopus 2-s2.0-80055043376
utb.source j-scopus
dc.date.accessioned 2012-02-10T13:15:18Z
dc.date.available 2012-02-10T13:15:18Z
utb.contributor.internalauthor Pekař, Libor
utb.contributor.internalauthor Prokop, Roman
utb.contributor.internalauthor Matušů, Radek
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