Exponential stability and relative controllability of first‐order delayed integro‐differential systems with impulses-Reference-Cited by-同舟云学术

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

Published:2024-03-04 Issue:9 Volume:47 Page:7590-7615
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Pervaiz Bakhtawar¹,Zada Akbar¹,Popa Ioan‐Lucian²³^ORCID,Ben Moussa Sana⁴,Kallekh Afef⁵

Affiliation:

1. Department of Mathematics University of Peshawar Peshawar Pakistan

2. Department of Computing, Mathematics and Electronics “1 Decembrie 1918” University of Alba Iulia Alba Iulia Romania

3. Faculty of Mathematics and Computer Science Transilvania University of Brasov Brasov Romania

4. Department of Chemistry, College of Science and Art Muhayil Asser King Khalid University Abha Saudi Arabia

5. Department of Mathematics, College of Science and Art Muhayil Asser King Khalid University Abha Saudi Arabia

Abstract

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.

Publisher

Wiley

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.9992

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