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  • In the presented paper, we address a problem of the appropriate setting of a parameter in a selected quasipolynomial with two delay elements in order to ensure that all its zeros are located in the open left-half complex plane. The quasipolynomial can represent the dynamics of a system with internal delays and thus it can decide about system stability. In contrast to many other analyses, a non-delay real parameter is being to set. The argument principle (Mikhaylov criterion) is utilized for this purpose. Stability bounds for the parameter are found through proven lemmas, propositions and theorems.
  • In the presented paper, we address a problem of the appropriate setting of a parameter in a selected quasipolynomial with two delay elements in order to ensure that all its zeros are located in the open left-half complex plane. The quasipolynomial can represent the dynamics of a system with internal delays and thus it can decide about system stability. In contrast to many other analyses, a non-delay real parameter is being to set. The argument principle (Mikhaylov criterion) is utilized for this purpose. Stability bounds for the parameter are found through proven lemmas, propositions and theorems. (en)
Title
  • Stability Conditions for a Retarded Quasipolynomial and their Applications
  • Stability Conditions for a Retarded Quasipolynomial and their Applications (en)
skos:prefLabel
  • Stability Conditions for a Retarded Quasipolynomial and their Applications
  • Stability Conditions for a Retarded Quasipolynomial and their Applications (en)
skos:notation
  • RIV/70883521:28140/10:63508947!RIV11-MSM-28140___
http://linked.open...avai/riv/aktivita
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  • Z(MSM7088352102)
http://linked.open...iv/cisloPeriodika
  • 4
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 289572
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  • RIV/70883521:28140/10:63508947
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  • Stability; time-delay systems; characteristic quasipolynomial; argument principle; Mikhaylov criterion. (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [72C8BE209FB0]
http://linked.open...i/riv/nazevZdroje
  • International Journal of Mathematics and Computers in Simulations
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 3
http://linked.open...iv/tvurceVysledku
  • Matušů, Radek
  • Pekař, Libor
  • Prokop, Roman
http://linked.open...n/vavai/riv/zamer
issn
  • 1998-0159
number of pages
http://localhost/t...ganizacniJednotka
  • 28140
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