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» On Riccati Equations in Banach Algebras
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CDC
2008
IEEE
14 years 2 days ago
Strong solutions and maximal solutions of generalized algebraic Riccati equations
— In this paper, we present a comparison theorem for the solutions of two generalized algebraic Riccati equations (GAREs) coming from two different systems. We show that the so-c...
Xin Xin
AUTOMATICA
2008
118views more  AUTOMATICA 2008»
13 years 5 months ago
Root-mean-square gains of switched linear systems: A variational approach
We consider the problem of computing the root-mean-square (RMS) gain of switched linear systems. We develop a new approach which is based on an attempt to characterize the "w...
Michael Margaliot, João Pedro Hespanha
CDC
2008
IEEE
150views Control Systems» more  CDC 2008»
14 years 2 days ago
Riccati conditioning and sensitivity for a MinMax controlled cable-mass system
— In this paper we study the relationship between the parameter θ, used in the design of the MinMax controller, and the conditioning of the approximate algebraic Riccati equatio...
Lizette Zietsman, Katie A. Evans, J. Teye Brown, R...
MOC
1998
115views more  MOC 1998»
13 years 5 months ago
Analysis and modificaton of Newton's method for algebraic Riccati equations
When Newton’s method is applied to find the maximal symmetric solution of an algebraic Riccati equation, convergence can be guaranteed under moderate conditions. In particular, ...
Chun-Hua Guo, Peter Lancaster
DAGSTUHL
2007
13 years 7 months ago
Nonsymmetric algebraic Riccati equations associated with an M-matrix: recent advances and algorithms
We survey on theoretical properties and algorithms concerning the problem of solving a nonsymmetric algebraic Riccati equation, and we report on some known methods and new algorit...
Dario Andrea Bini, Bruno Iannazzo, Beatrice Meini,...