New upper solution bounds of the discrete algebraic Riccati matrix equation
نویسندگان
چکیده
منابع مشابه
Some 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...
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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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In this note, we first give necessary and sufficient conditionsfor the Hunvitz stability of the family A of polynomials 6(s) = Pm,_(s),where the polynomials F i ( s ) are fixed; and the polynomials Manuscript received July 20, 1990; revised April 18, 1991, and October4. 1991. This work was supportcd by the National Science Foundationunder Grants ECS-8914357, ECS-8613315, and ECS...
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: Journal of Computational and Applied Mathematics
سال: 2008
ISSN: 0377-0427
DOI: 10.1016/j.cam.2007.01.015