Argument Principle Based Stability Conditions of a Retarded Quasipolynomial with Two Delays

نویسندگان

  • LIBOR PEKAŘ
  • ROMAN PROKOP
چکیده

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. Key-Words: Stability, time-delay systems, characteristic quasipolynomial, argument principle, Mikhaylov criterion.

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تاریخ انتشار 2010