๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Existence and Uniqueness of Contractive Solutions of Some Riccati Equations

โœ Scribed by Vadim Adamjan; Heinz Langer; Christiane Tretter


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
180 KB
Volume
179
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.

โœฆ Synopsis


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.


๐Ÿ“œ SIMILAR VOLUMES


Global Existence and Stability of Soluti
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 .

Existence condition of positive-definite
โœ Hiroyuki Kano ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 453 KB

Algebraic matrix Riccati equations are considered which arise in the optimal filtering as well as in control problems of continuous time-invariant systems. A necessary and sufficient condition is established for the existence of unique positivedefinite solutions and the asymptotically stable closed-

Existence, Uniqueness, and Approximation
โœ Juan J Nieto; W Okrasinski ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 160 KB

We study the existence and approximation of a nontrivial positive solution for a nonlinear ordinary differential equation of second order. To prove the uniqueness of positive solutions, we use some estimates of the error between exact and approximate solutions. The equation arises in the study of so

Approximate Solutions, Existence, and Un
โœ Congxin Wu; Shiji Song; E.Stanley Lee ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 170 KB

The existence and uniqueness theorem is obtained ลฝ . ลฝ ลฝ .. ลฝ . for the solution of the Cauchy problem xะˆ t s f t, x t , x t s x , for the 0 0 fuzzy-valued mappings of a real variable whose values are normal, convex, upper semicontinuous, and compactly supported fuzzy sets in R n , where the functio