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Comment on the paper ``A group theoretical approach to optimal estimation and control'' by S. J. Orfanidis - MaRDI portal

Comment on the paper ``A group theoretical approach to optimal estimation and control'' by S. J. Orfanidis (Q1121233)

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scientific article; zbMATH DE number 4102967
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English
Comment on the paper ``A group theoretical approach to optimal estimation and control'' by S. J. Orfanidis
scientific article; zbMATH DE number 4102967

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    Comment on the paper ``A group theoretical approach to optimal estimation and control'' by S. J. Orfanidis (English)
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    1989
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    \textit{S. J. Orfanidis} [ibid. 97, 393-416 (1983; Zbl 0549.93068)] stated that stabilizability and detectability are sufficient conditions for the existence of a positive definite equilibrium solution to autonomous and periodic Riccati equations. By indicating to a counterexample the author proves both assertions to be false.
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    symplectic group structure
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    matrix Riccati equation
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    partitioning
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    algorithms
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    integration-free Chandrasekhar type algorithm
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    positive definite equilibrium solution
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    periodic Riccati equations
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    counterexample
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