
The set of solutions of Lur'e equations in terms of deflating subspaces of even matrix pencils is characterized. It is shown that there exist special extremal solutions in terms of definiteness and a procedure to construct these solutions via deflating subspaces of even matrix pencils is formulated.
Spectral factorization, Numerical Analysis, Deflating subspaces, Algebra and Number Theory, Matrix equations and identities, even matrix pencils, Optimal control, optimal control, extremal solutions, deflating subspaces, Discrete Mathematics and Combinatorics, Even matrix pencils, Geometry and Topology, spectral factorization, Lur’e equations, Matrix pencils, Riccati equations, Lur'e equations
Spectral factorization, Numerical Analysis, Deflating subspaces, Algebra and Number Theory, Matrix equations and identities, even matrix pencils, Optimal control, optimal control, extremal solutions, deflating subspaces, Discrete Mathematics and Combinatorics, Even matrix pencils, Geometry and Topology, spectral factorization, Lur’e equations, Matrix pencils, Riccati equations, Lur'e equations
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