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Global aspects of the matrix Riccati equation

โœ Scribed by C. R. Schneider

Publisher
Springer
Year
1973
Tongue
English
Weight
325 KB
Volume
7
Category
Article
ISSN
1433-0490

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๐Ÿ“œ SIMILAR VOLUMES

Global theory of the Riccati equation
Global theory of the Riccati equation
โœ R.S. Bucy ๐Ÿ“‚ Article ๐Ÿ“… 1967 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 402 KB

The asymptotic theory of the matrix Riccati equation is developed using nonvariational arguments. The cone of positive semi-definite matrices is shown to be invariant under the motions of the Riccati equation and questions of monotonicity and stability are resolved for motions starting in this cone.

Global Existence and Stability of Soluti
Global Existence and Stability of Solutions of Matrix Riccati Equations
โœ Jonq Juang ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 97 KB

We consider a matrix Riccati equation containing two parameters c and โฃ. The quantity c denotes the average total number of particles emerging from a collision, ลฝ . ลฝ . which is assumed to be conservative i.e., 0c F 1 , and โฃ 0 F โฃ -1 is an ร„ลฝ . 4 angular shift. Let S s c, โฃ : 0c F 1 and 0 F โฃ -1 .