Title :
The Kharitonov theorem with degree drop
Author :
Willems, Jan C. ; Tempo, Roberto
Author_Institution :
Dept. of Math., Groningen Univ., Netherlands
fDate :
11/1/1999 12:00:00 AM
Abstract :
The purpose of this paper is to present a proof of the Kharitonov theorem based on Bezoutians. An interesting consequence of this proof is that it shows the validity of Kharitonov´s result in the presence of a degree drop
Keywords :
Lyapunov methods; polynomials; stability criteria; Bezoutians; Kharitonov theorem; Lyapunov function; polynomials; Algorithm design and analysis; Attenuation; Automatic control; Control systems; Costs; Optimization methods; Polynomials; Sliding mode control; Stability; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on