DocumentCode :
845178
Title :
A skew-symmetric formulation of the algebraic Riccati equation problem
Author :
Incertis, F.
Author_Institution :
IBM Madrid Scientific Center, Madrid, Spain
Volume :
29
Issue :
5
fYear :
1984
fDate :
5/1/1984 12:00:00 AM
Firstpage :
467
Lastpage :
470
Abstract :
By introducing a set of matrix transformations a new canonical representation in the field of real skew-symmetric matrices is obtained for the algebraic Riccati equation. As a consequence of this reformulation closed-form analytical solutions are derived in R^{2 \\times 2} or when some special commutativity conditions are fulfilled in the transformed space. The formulation extends the results of [6] to a wider class of Riccati equations.
Keywords :
Algebraic Riccati equation (ARE); Riccati equations, algebraic; Costs; Frequency; H infinity control; MIMO; Poles and zeros; Riccati equations; Servomechanisms; Steady-state; Symmetric matrices; Transfer functions;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1984.1103565
Filename :
1103565
Link To Document :
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