Geodesic
Finite time stability and relative controllability of second order linear differential systems with pure delay
Applications of Mathematics, Tome 68 (2023) no. 3, pp. 305-327

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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.
DOI : 10.21136/AM.2022.0249-21
Classification : 34K05, 93C05
Keywords: finite time stability; relative controllability; second order; delayed matrix function 
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Li, Mengmeng; Fečkan, Michal; Wang, JinRong. Finite time stability and relative controllability of second order linear differential systems with pure delay. Applications of Mathematics, Tome 68 (2023) no. 3, pp. 305-327. doi: 10.21136/AM.2022.0249-21

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