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

Vu Ngoc Phat and Tran Tin Kiet

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 29, 1-12

Abstract:

By extending the Lyapunov equation A * Q + Q A = − 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 conditions for the stabilizability of a class of nonlinear control systems in Banach spaces.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:419587

DOI: 10.1155/S0161171202010840

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