Existence of unmixed solutions of the discrete-time algebraic Riccati equation and a nonstrictly bounded real lemma

Authors
Wimmer, HK
Citation
Hk. Wimmer, Existence of unmixed solutions of the discrete-time algebraic Riccati equation and a nonstrictly bounded real lemma, SYST CONTR, 43(2), 2001, pp. 141-147
Citations number
15
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
SYSTEMS & CONTROL LETTERS
ISSN journal
01676911 → ACNP
Volume
43
Issue
2
Year of publication
2001
Pages
141 - 147
Database
ISI
SICI code
0167-6911(20010615)43:2<141:EOUSOT>2.0.ZU;2-U
Abstract
The existence of a solution of the discrete-time algebraic Riccati equation is established assuming modulus controllability and positive semidefiniten ess on the unit circle of the Popov function. As an application a nonstrict ly bounded real lemma is obtained. (C) 2001 Elsevier Science B.V. All right s reserved.