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Robust stability of quasi-polynomials and the finite inclusions theorem

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3 Author(s)
S. Mondie ; Dept. of Autom. Control, CINVESTAV-IPN, Mexico City, Mexico ; J. Santos ; V. L. Kharitonov

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.

Published in:

IEEE Transactions on Automatic Control  (Volume:50 ,  Issue: 11 )