On the Lyapunov equation in Banach spaces and applications to control problems-Reference-Cited by-同舟云学术

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

Published:2002 Issue:3 Volume:29 Page:155-166
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Phat Vu Ngoc¹,Kiet Tran Tin²

Affiliation:

1. Institute of Mathematics, Box 631, Bo Ho, Hanoi 10.000, Vietnam

2. Department of Mathematics, Quinhon Pedagogical University, Binh Dinh, Qui Nhon City, Vietnam

Abstract

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.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/2002/419587.pdf

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