Argument principle based stability conditions of a retarded quasipolynomial with two delays

Abstract

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.