DocumentCode
1377910
Title
Periodic Riccati difference equations: approaching equilibria by implicit systems
Author
Carpanese, Nevio
Author_Institution
Dipt. di Elettronica e Inf., Padova Univ., Italy
Volume
45
Issue
7
fYear
2000
fDate
7/1/2000 12:00:00 AM
Firstpage
1391
Lastpage
1396
Abstract
A parameterization of solutions to the periodic Riccati difference equation (RDE) is given. By using behavioral tools the moving equilibria of the periodic RDE are encompassed among the trajectories of the implicit AR model associated to the symplectic pencil of the corresponding Hamiltonian equations. This allows a parameterization of solutions of periodic RDEs even in the case the dynamic matrix is singular
Keywords
Riccati equations; difference equations; geometry; matrix algebra; optimal control; time-varying systems; Hamiltonian equations; behavioral tools; dynamic matrix; implicit AR model; moving equilibria; periodic Riccati difference equations; symplectic pencil; Automatic control; Control systems; Control theory; Difference equations; Linear feedback control systems; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Riccati equations; State feedback;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.867066
Filename
867066
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