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Existence and uniqueness of extremal solutions of the Riccati equation, and symplectic geometry

โœ Scribed by L. E. Faibusovich

Publisher
Springer US
Year
1985
Tongue
English
Weight
255 KB
Volume
19
Category
Article
ISSN
0016-2663

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๐Ÿ“œ SIMILAR VOLUMES

Existence and Uniqueness of Contractive
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In this paper we establish criteria for the existence and uniqueness of contractive solutions K of the Riccati equation KBK+KA&DK&C=0 under the assumption that the spectra of A and D are disjoint.

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Existence and uniqueness of unmixed solutions of the discrete-time algebraic Riccati equation
โœ David J. Clements; Harald K. Wimmer ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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