Abstract
This paper is devoted to the null-controllability problem for linear, autonomous, discrete-time systems with restrained controls, i.e., systems described by the equationx k+1=Ax k+u k,u k∈ Г, where 0 ∈ Г, but is not necessarily an interior point of Г. Some criteria for local and global null controllability are given with proofs. These results can be considered as extensions to discrete-time systems of the known corresponding criteria for linear, continuous-time systems.
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Communicated by R. Conti
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Nguyen, K.S. On the null-controllability of linear discrete-time systems with restrained controls. J Optim Theory Appl 50, 313–329 (1986). https://doi.org/10.1007/BF00939276
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DOI: https://doi.org/10.1007/BF00939276