๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Global theory of the Riccati equation

โœ Scribed by R.S. Bucy

Publisher
Elsevier Science
Year
1967
Tongue
English
Weight
402 KB
Volume
1
Category
Article
ISSN
0022-0000

No coin nor oath required. For personal study only.

โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

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 .

On the Riccati equation
On the Riccati equation
โœ Richard M Koch; Franklin Lowenthal ๐Ÿ“‚ Article ๐Ÿ“… 1970 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 482 KB
The stochastic Riccati equation
The stochastic Riccati equation
โœ R. Bellman; G. Adomian ๐Ÿ“‚ Article ๐Ÿ“… 1980 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 127 KB