Exponential stability and relative controllability of first-order delayed integro-differential systems with impulses

被引：5

作者：

Pervaiz, Bakhtawar ^{[1
]}

Zada, Akbar ^{[1
,6
]}

Popa, Ioan-Lucian ^{[2
,3
]}

Ben Moussa, Sana ^{[4
]}

Kallekh, Afef ^{[5
]}

机构：

[1] Univ Peshawar, Dept Math, Peshawar, Pakistan

[2] 1 Decembrie 1918 Univ Alba Iulia, Dept Comp Math & Elect, Alba Iulia, Romania

[3] Transilvania Univ Brasov, Fac Math & Comp Sci, Brasov, Romania

[4] King Khalid Univ, Coll Sci & Art Muhayil Asser, Dept Chem, Abha, Saudi Arabia

[5] King Khalid Univ, Coll Sci & Art Muhayil Asser, Dept Math, Abha, Saudi Arabia

[6] Univ Peshawar, Dept Math, Peshawar 25000, Pakistan

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年 / 47卷 / 09期

关键词：

controllability; delay system; exponential stability; first-order systems; DIFFERENTIAL-SYSTEMS;

D O I：

10.1002/mma.9992

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish sufficient conditions for the exponential stability of nonsingular impulsive delayed integro-differential systems. Our approach to addressing nonsingular differential problems involves the application of permutable matrices and their associated delayed exponential. Furthermore, we investigate the controllability of a nonlinear impulsive and delayed problem by employing the corresponding Gramian matrix. Finally, to illustrate the theoretical outcomes, we provide examples and graphical representations for each situation.

引用

页码：7590 / 7615

页数：26

共 24 条

[1] Some novel existence and uniqueness results for the Hilfer fractional integro-differential equations with non-instantaneous impulsive multi-point boundary conditions and their application [J].