Boundary problems for Riccati and Lyapunov equations
1986 ◽
Vol 29
(1)
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pp. 15-21
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Keyword(s):
The resolution problem of the systemwhere U(t), A, B, D and Uo are bounded linear operators on H and B* denotes the adjoint operator of B, arises in control theory, [9], transport theory, [12], and filtering problems, [3]. The finite-dimensional case has been introduced in [6,7], and several authors have studied the infinite-dimensional case, [4], [13], [18]. A recent paper, [17],studies the finite dimensional boundary problemwhere t ∈[0,b].In this paper we consider the more general boundary problemwhere all operators which appear in (1.2) are bounded linear operators on a separable Hilbert space H. Note that we do not suppose C = −B* and the boundary condition in (1.2) is more general than the boundary condition in (1.1).
1969 ◽
Vol 16
(3)
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pp. 227-232
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Keyword(s):
1988 ◽
Vol 31
(1)
◽
pp. 127-144
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Keyword(s):
Keyword(s):
2014 ◽
Vol 57
(3)
◽
pp. 709-718
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Keyword(s):
1978 ◽
Vol 30
(5)
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pp. 1045-1069
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Keyword(s):
1988 ◽
Vol 31
(1)
◽
pp. 99-105
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1984 ◽
Vol 96
(3)
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pp. 483-493
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1996 ◽
Vol 38
(1)
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pp. 61-64
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