New lower solution bounds of the continuous algebraic Riccati matrix equation
نویسندگان
چکیده
منابع مشابه
New lower solution bounds for the continuous algebraic Riccati equation
In this paper, by constructing the equivalent form of the continuous algebraic Riccati equation (CARE) and applying some matrix inequalities, a new lower bounds solution of the CARE is proposed. Finally, corresponding numerical examples are provided to illustrate the effectiveness of the results.
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In this paper, by constructing the equivalent form of the continuous algebraic Riccati equation (CARE) and applying some matrix inequalities, a new lower bounds solution of the CARE is proposed. Finally, corresponding numerical examples are provided to illustrate the effectiveness of the results.
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Upper bounds for eigenvalues of a solution to continuous time coupled algebraic Riccati equation (CCARE) and discrete time coupled algebraic Riccati equation (DCARE) are developed as special cases of bounds for the uni...ed coupled algebraic Riccati equation (UCARE). They include bounds of the maximal eigenvalues, the sums of the eigenvalues and the trace.
متن کاملSome Upper Matrix Bounds for the Solution of the Continuous Algebraic Riccati Matrix Equation
In this paper, new upper matrix bounds for the solution of the continuous algebraic Riccati equation (CARE) are derived. Following the derivation of each bound, iterative algorithms are developed for obtaining sharper solution estimates. These bounds improve the restriction of the results proposed in a previous paper, and are more general. The proposed bounds are always calculated if the stabil...
متن کاملMatrix Bounds for the Solution of the Continuous Algebraic Riccati Equation
Juan Zhang and Jianzhou Liu Department of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan 411105, China Correspondence should be addressed to Jianzhou Liu, [email protected] Received 19 December 2009; Revised 22 June 2010; Accepted 16 August 2010 Academic Editor: John Burns Copyright q 2010 J. Zhang and J. Liu. This is an open access article distributed under the Crea...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2007
ISSN: 0024-3795
DOI: 10.1016/j.laa.2007.07.017