Comments on "On the robust Popov criterion for interval Lur"e systems

1 January 1995

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control

Vol. 40 (1) , 136-137
https://doi.org/10.1109/9.362884

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

This publication has 2 references indexed in Scilit:

Symbolic computation approach for absolute stability
International Journal of Control, 1993
On the robust Popov criterion for interval Lur'e system
IEEE Transactions on Automatic Control, 1993