On the existence of an antistabilizing solution of the discrete algebraic Riccati equation
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作者:
Larin, Vladimir B.
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机构:
S.P. Timoshenko Inst. of Mechanics, Natl. Acad. of Sciences of Ukraine, Kyiv, UkraineS.P. Timoshenko Inst. of Mechanics, Natl. Acad. of Sciences of Ukraine, Kyiv, Ukraine
Larin, Vladimir B.
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机构:
[1] S.P. Timoshenko Inst. of Mechanics, Natl. Acad. of Sciences of Ukraine, Kyiv, Ukraine
Calculations - Control theory - Eigenvalues and eigenfunctions - Hamiltonians - Mathematical transformations - Matrix algebra;
D O I:
10.1615/jautomatinfscien.v33.i10.20
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摘要:
We consider the problem of construction of an antistabilizing solution in the special cases of the discrete algebraic Riccati equation. It is shown that such solutions can be found by means of the Cayley transform. Different approaches to interpretation of such solutions are compared.