On the Lyapunov equation in Banach spaces and applications to control problems

By extending the Lyapunov equation A*Q+QA=−P to 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...

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Bibliographic Details
Main Authors: Vu Ngoc Phat, Tran Tin Kiet
Format: Article
Language:English
Published: Wiley 2002-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171202010840
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