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Kwon, Wook Hyun; Moon, Young Soo; Ahn, Sang Chul

Bounds in algebraic Riccati and Lyapunov equations: A survey and some new results. (English) Zbl 0852.93005

Int. J. Control 64, No. 3, 377-389 (1996).
Almost 200 bounds on algebraic Riccati and Lyapunov equations solutions are given, some of them new ones. Both continuous and discrete-time cases are considered. The bounds are for the eigenvalues, trace, determinant, norm. Among the references are also Trans. Soc. Intrum. Contr. Engineers in Japanese.
Reviewer: A.Vaněček (Praha)

Cited in 28 Documents

MSC:

93-02 Research exposition (monographs, survey articles) pertaining to systems and control theory
93B60 Eigenvalue problems
93B15 Realizations from input-output data
49-02 Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control

Keywords:

Lyapunov equations; bounds of the solution; algebraic Riccati equations
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\textit{W. H. Kwon} et al., Int. J. Control 64, No. 3, 377--389 (1996; Zbl 0852.93005)
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