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Relative and Trajectory Controllability of Linear Discrete Systems With Constant Coefficients and a Single Delay

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This paper studies the qualitative behavior of solutions of linear discrete systems with constant coefficients and a constant time delay under the influence of a control function. In particular, it… Click to show full abstract

This paper studies the qualitative behavior of solutions of linear discrete systems with constant coefficients and a constant time delay under the influence of a control function. In particular, it deals with a nontrivial task of transferring an arbitrary solution to several prescribed positions (trajectory controllability), being more general and different from the problem of relative controllability frequently solved in the literature. A Kalman-type controllability criterion is proved and, in addition, previous results are discussed and illustrative examples are given.

Keywords: linear discrete; systems constant; trajectory controllability; discrete systems; constant coefficients; controllability

Journal Title: IEEE Transactions on Automatic Control
Year Published: 2019

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