On delay-dependent passivity

Author

Fridman, E. ; Shaked, U.

Author_Institution

Dept. of Electr. Eng.-Syst., Tel Aviv Univ., Israel

Volume

47

Issue

4

fYear

2002

fDate

4/1/2002 12:00:00 AM

Firstpage

664

Lastpage

669

Abstract

Sufficient conditions for passivity (positive realness) are obtained for continuous-time, linear, retarded, and neutral-type systems. A delay-dependent solution is given in terms of linear matrix inequalities (LMIs) by using a descriptor model transformation of the system and by applying Park´s inequality for bounding cross terms. A memoryless state-feedback solution is derived. Numerical examples are given which illustrate the effectiveness of the new theory

Keywords

closed loop systems; continuous time systems; delays; linear systems; matrix algebra; memoryless systems; state feedback; transfer functions; Park inequality; bounding cross terms; closed-loop system; continuous-time systems; delay-dependent passivity; delay-dependent solution; descriptor model transformation; linear matrix inequalities; linear systems; memoryless state-feedback solution; neutral-type systems; numerical examples; passivity conditions; positive realness; positive-real lemma; retarded systems; time-delay systems; Circuit theory; Control systems; Delay systems; Frequency domain analysis; Kernel; Linear matrix inequalities; Riccati equations; Sufficient conditions; Symmetric matrices; Transmission line matrix methods;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.995046

Filename

995046