Title :
Robust stability of quasi-polynomials and the finite inclusions theorem
Author :
Mondié, S. ; Santos, J. ; Kharitonov, V.L.
Author_Institution :
Dept. of Autom. Control, CINVESTAV-IPN, Mexico City, Mexico
Abstract :
A semianalytic tool for the study of the robust stability of quasi-polynomials of retarded type is presented. The approach is based on graphical methods. The finite Nyquist theorem for polynomials is extended to the case of quasi-polynomials with the help of a novel approach. The finite inclusions theorem for quasi-polynomials is derived. It allows to conclude on the stability of polytopic families of quasi-polynomials from a finite number of testing values.
Keywords :
Nyquist stability; delay systems; inclusions; polynomials; finite Nyquist theorem; finite inclusion theorems; graphical test; quasi-polynomials; retarded type; robust stability; time delay systems; Differential equations; Functional analysis; Optimal control; Partial differential equations; Polynomials; Riccati equations; Robust stability; Stochastic processes; Testing; Viscosity; Graphical test; quasi-polynomials; robust stability; time-delay systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2005.858649
