𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Parametrization of Solutions of the Discrete-time Algebraic Riccati Equation Based on Pairs of Opposite Unmixed Solutions

✍ Scribed by Wimmer, Harald K.

Book ID
118205015
Publisher
Society for Industrial and Applied Mathematics
Year
2006
Tongue
English
Weight
181 KB
Volume
44
Category
Article
ISSN
0363-0129

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Existence and uniqueness of unmixed solu
Existence and uniqueness of unmixed solutions of the discrete-time algebraic Riccati equation
✍ David J. Clements; Harald K. Wimmer πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 193 KB

A solution X of a discrete-time algebraic Riccati equation is called unmixed if the corresponding closed-loop matrix (X ) has the property that the common roots of det(sI -(X )) and det(I -s (X ) \* ) (if any) are on the unit circle. A necessary and su cient condition is given for existence and uniq

Existence of unmixed solutions of the di
Existence of unmixed solutions of the discrete-time algebraic Riccati equation and a nonstrictly bounded real lemma
✍ Harald K. Wimmer πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 114 KB

The existence of a solution of the discrete-time algebraic Riccati equation is established assuming modulus controllability and positive semideΓΏniteness on the unit circle of the Popov function. As an application a nonstrictly bounded real lemma is obtained.