POSITIVE INVARIANCE AND ASYMPTOTIC STABILITY OF SOLUTIONS TO CERTAIN RICCATI-EQUATIONS

被引：2
|
作者：
KUIPER, HJ
机构：
[1] Department of Mathematics, Arizona State University, Tempe
来源：
DYNAMICS AND STABILITY OF SYSTEMS | 1994年 / 9卷 / 04期
关键词：
D O I：
10.1080/02681119408806187
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Matrix and operator Riccati equations of the form X' = - AX - XD + B + XCX with A and D positive definite arise in the study of transport processes. In this paper conditions are found that imply the unit ball \\X\\less than or equal to 1 is positively invariant. Also obtained are results on uniqueness, stability and asymptotic stability of steady states.
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页码：331 / 344
页数：14
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