Matrix bounds for the solution of the continuous algebraic Riccati equation.
Zhang, Juan, Liu, Jianzhou (2010)
Mathematical Problems in Engineering
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Zhang, Juan, Liu, Jianzhou (2010)
Mathematical Problems in Engineering
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Pengov, Marco, Richard, Edouard, Vivalda, Jean-Claude (2001)
Journal of Inequalities and Applications [electronic only]
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Hashimoto, Tomoaki, Amemiya, Takashi (2009)
Mathematical Problems in Engineering
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Razzaghi, Mohsen (1997)
International Journal of Mathematics and Mathematical Sciences
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Guang-Da Hu, Qiao Zhu (2010)
Kybernetika
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This paper is concerned with bounds of eigenvalues of a complex matrix. Both lower and upper bounds of modulus of eigenvalues are given by the Stein equation. Furthermore, two sequences are presented which converge to the minimal and the maximal modulus of eigenvalues, respectively. We have to point out that the two sequences are not recommendable for practical use for finding the minimal and the maximal modulus of eigenvalues.
Ioannis K. Konstantopoulos, Panos J. Antsaklis (1995)
Kybernetika
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Michail M. Konstantinov, Petko Hr. Petkov, Nikolaĭ D. Hristov (2005)
Kybernetika
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The paper presents the technique of splitting operators, intended for perturbation analysis of control problems involving unitary matrices. Combined with the technique of Lyapunov majorants and the application of the Banach or Schauder fixed point principles, it allows to obtain rigorous non-local perturbation bounds for a set of sensitivity analysis problems. Among them are the reduction of linear systems into orthogonal canonical forms, the general feedback synthesis problem, and the...
Wang, Guo-Sheng, Lv, Qiang, Duan, Guang-Ren (2007)
Mathematical Problems in Engineering
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Zuber, Irina E. (1998)
Journal of Applied Mathematics and Stochastic Analysis
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