DocumentCode
3247160
Title
On the solutions of Riccati inequalities with sign indefinite quadratic terms
Author
Barabanov, Nikita E.
Author_Institution
Dept. of Software Eng., St. Petersburg Electr. Eng. Univ., Russia
Volume
4
fYear
1996
fDate
11-13 Dec 1996
Firstpage
4516
Abstract
Riccati inequality may have a solution even if nonstrict frequency domain inequality is broken, In this paper the necessary and sufficient conditions of solvability of Riccati inequalities are derived. These conditions are expressed in terms of signatures of root subspaces of associated Hamiltonian matrix corresponding to pure imaginary eigenvalues
Keywords
Riccati equations; frequency-domain analysis; frequency-domain synthesis; matrix algebra; Riccati inequalities; associated Hamiltonian matrix; imaginary eigenvalues; necessary and sufficient conditions; nonstrict frequency domain inequality; root subspace signatures; sign indefinite quadratic terms; Cost function; Eigenvalues and eigenfunctions; Frequency domain analysis; Linear matrix inequalities; Optimal control; Riccati equations; Software engineering; Sufficient conditions; Testing;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location
Kobe
ISSN
0191-2216
Print_ISBN
0-7803-3590-2
Type
conf
DOI
10.1109/CDC.1996.577576
Filename
577576
Link To Document