Toward robust stability margin evaluation in continuous and discrete systems

The work presents the problem of determining the robust stability margin, i.e. the stability margin in conditions of uncertainty in setting all or part of parameters of continuous and discrete dynamic systems. A procedure for determining the maximum stability margin, based on the introduction of the parameter determining the value of the stability margin into the characteristic equation in explicit form, is suggested. When determining the robust stability of reduced polynomials, the Routh–Hurwitz theorem for continuous dynamical systems and the Korsakov criterion for discrete dynamical systems, as well as the basic statements of the theory of robust stability, which allows to take into account the initial parametric uncertainty, are used. Examples of finding the maximum robust stability margin in concrete continuous dynamical systems with the second and third order characteristic polynomials are presented.