Title :
Comments on "On the robust Popov criterion for interval Lur"e systems
Author :
Mori, T. ; Nishimura, T. ; Kuroe, Y. ; Kokame, H.
Author_Institution :
Dept. of Electron. & Inf. Sci., Kyoto Inst. of Technol., Japan
Abstract :
This paper supplements the remarks made in a paper by Dahleh et al. (IEEE Trans. Automat. Contr. vol.38, p.1400-5 (1993)) regarding the Popov sector of Lur\´e systems with interval plants. A numerical example is provided to show that strict inequalities hold among three sectors: those obtained by the theorem of the paper, by applying Popov theorem to each member system, and by applying that to each of the systems with Kharitonov plants. This counterexample negates a tempting conjecture on "strong" robust Popov criterion.<>
Keywords :
Popov criterion; absolute stability; robust control; stability criteria; Kharitonov plants; Lur´e systems; inequality; interval plants; robust Popov criterion; Automatic control; Computer applications; Control systems; Linear systems; Matrix decomposition; Observability; Robustness; Singular value decomposition; State-space methods; Time varying systems;
Journal_Title :
Automatic Control, IEEE Transactions on
