HOMOGENEOUS RICCATI-EQUATIONS VERSUS QUADRATIC INEQUALITIES

Authors
RODMAN L
Citation
L. Rodman, HOMOGENEOUS RICCATI-EQUATIONS VERSUS QUADRATIC INEQUALITIES, Systems & control letters, 26(4), 1995, pp. 283-288
Citations number
23
Categorie Soggetti
Controlo Theory & Cybernetics","System Science","Operatione Research & Management Science
Journal title
Systems & control letters → ACNP
ISSN journal
01676911
Volume
26
Issue
4
Year of publication
1995
Pages
283 - 288
Database
ISI
SICI code
0167-6911(1995)26:4<283:HRVQI>2.0.ZU;2-I
Abstract
It is proved that, under certain hypotheses, the existence of hermitia n solutions of a homogenized algebraic Riccati equation of continuous type is guaranteed if the corresponding quadratic inequality admits a hermitian solution. Both finite-dimensional (matrices) and infinite-di mensional (Hilbert space operators) Riccati equations are considered.