Nonsingular systems of generalized Sylvester equations: An algorithmic approach
نویسندگان
چکیده
منابع مشابه
1 2 Se p 20 17 Nonsingular systems of generalized Sylvester equations : an algorithmic approach ∗
We consider the uniqueness of solution (nonsingularity) of systems of r generalized Sylvester and ⋆-Sylvester equations with n × n coefficient matrices. After several reductions, we show that it is sufficient to analyze periodic systems having, at most, one generalized ⋆-Sylvester equation. We provide characterizations for the nonsingularity in terms of spectral properties of either matrix penc...
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The singularity problem of the solutions of some particular Sylvester equations is studied. As a consequence of this study, a good choice of a Sylvester equation which is associated to a linear continuous time system can be made such that its solution is nonsingular. This solution is then used to solve an eigenstructure assignment problem for this system. From a practical point view, this study...
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ژورنال
عنوان ژورنال: Numerical Linear Algebra with Applications
سال: 2019
ISSN: 1070-5325,1099-1506
DOI: 10.1002/nla.2261