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Exponential stability and relative controllability of first‐order delayed integro‐differential systems with impulses.
- Source :
-
Mathematical Methods in the Applied Sciences . Jun2024, Vol. 47 Issue 9, p7590-7615. 26p. - Publication Year :
- 2024
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *EXPONENTIAL stability
*CONTROLLABILITY in systems engineering
Subjects
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 47
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 177146165
- Full Text :
- https://doi.org/10.1002/mma.9992