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Existence of unmixed solutions of the discrete-time algebraic Riccati equation and a nonstrictly bounded real lemma

✍ Scribed by Harald K. Wimmer

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
114 KB
Volume
43
Category
Article
ISSN
0167-6911

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✦ Synopsis

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.

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