State space characterization and robust stabilization of dissipative LTI systems

Author

Gupta, Swastik ; Joshi, Suresh M.

Author_Institution

ViGYAN Inc., Hampton, VA, USA

Volume

5

fYear

1995

fDate

21-23 Jun 1995

Firstpage

3616

Abstract

Dissipative linear time-invariant (LTI) systems represent a large class of systems, which include bounded real, positive real and sector bounded systems as special cases, In this paper, a sufficient condition is developed for stability of the feedback interconnection of two dissipative LTI systems. The stability result generalizes and unifies previous stability results such as small gain, passivity and sector-boundedness theorems. State-space characterization of dissipative LTI systems is presented in terms of a “dissipativity lemma”, which extends the positive realness (Kalman-Yakubovich), bounded realness and sector-boundedness lemmas. These conditions are equivalently expressed as linear matrix inequalities

Keywords

asymptotic stability; feedback; interconnected systems; linear systems; state-space methods; transfer function matrices; bounded realness; dissipative linear time-invariant systems; feedback interconnection; linear matrix inequality; passivity; positive realness; robust stabilization; sector bounded systems; sector-boundedness; small gain; stability; state space characterization; sufficient condition; Disruption tolerant networking; Filtering theory; Frequency response; Linear matrix inequalities; Riccati equations; Robustness; State-space methods; Symmetric matrices; Time invariant systems; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, Proceedings of the 1995

Conference_Location

Seattle, WA

Print_ISBN

0-7803-2445-5

Type

conf

DOI

10.1109/ACC.1995.533811

Filename

533811