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  • 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.
  • 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)
Title
  • The Nyquist criterion for LTI Time-Delay Systems
  • The Nyquist criterion for LTI Time-Delay Systems (en)
skos:prefLabel
  • The Nyquist criterion for LTI Time-Delay Systems
  • The Nyquist criterion for LTI Time-Delay Systems (en)
skos:notation
  • RIV/70883521:28140/11:43865889!RIV12-MSM-28140___
http://linked.open...avai/riv/aktivita
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  • P(ED2.1.00/03.0089), Z(MSM7088352102)
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  • 216913
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  • RIV/70883521:28140/11:43865889
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  • Time-delay systems, Nyquist criterion, stability, stabilization, quasipolynomial, gain margin (en)
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  • [EC829064E2A1]
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  • Lanzarote
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  • Recent Researches in Automatic Control
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  • Dolinay, Jan
  • Matušů, Radek
  • Pekař, Libor
  • Dostálek, Petr
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  • WSEAS Press
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  • 978-1-61804-004-6
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  • 28140
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