On the Lyapunov equation in Banach spaces and applications to control problems
2002 ◽
Vol 29
(3)
◽
pp. 155-166
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Keyword(s):
By extending the Lyapunov equationA*Q+QA=−Pto an arbitrary infinite-dimensional Banach space, we give stability conditions for a class of linear differential systems. Relationship between stabilizability and exact null-controllability is established. The result is applied to obtain new sufficient conditions for the stabilizability of a class of nonlinear control systems in Banach spaces.
1978 ◽
Vol 20
(4)
◽
pp. 434-445
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2014 ◽
Vol 24
(4)
◽
pp. 723-733
2020 ◽
Vol 37
(4)
◽
pp. 1548-1573
2006 ◽
Vol 2006
◽
pp. 1-18
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2011 ◽
Vol 53
(3)
◽
pp. 443-449
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