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 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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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     title = {Finite time stability and relative controllability of second order linear differential systems with pure delay},
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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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