IMA Journal of Mathematical Control and Information 1994 11(3):185-200; doi:10.1093/imamci/11.3.185
© 1994 by Institute of Mathematics and its Applications
Constrained controllability of linear infinite-dimensional systems: a set-valued analysis approach
VU NGOC PHAT
Institute of Mathematics P.O. Box 631, BO Ho, Hanoi, Vietnam
This paper presents necessary and sufficient conditions for controllability of linear discrete-time and continuous-time systems with constrained controls in Banach spaces. The proofs of the main results are based on extenosions of the Banach theorem of categories and the surjectivity theorem for convex set-valued functions.

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