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Finite time stability and relative controllability of second order linear differential systems with pure delay

Mengmeng LiMichal FečkanJinRong Wang — 2023

Applications of Mathematics

We first consider the finite time stability of second order linear differential systems with pure delay via giving a number of properties of delayed matrix functions. We secondly give sufficient and necessary conditions to examine that a linear delay system is relatively controllable. Further, we apply the fixed-point theorem to derive a relatively controllable result for a semilinear system. Finally, some examples are presented to illustrate the validity of the main theorems.

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