Controllability and stability analysis of an oscillating system with two delays

Controllability and stability analysis of an oscillating system with two delays

In the current article, controllability and stability analysis of a system of differential equations is investigated. The system is governed by semilinear impulsive differential equations of second order with two delays. Controllability is studied using Rothe's fixed point theory while stabilit...

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Veröffentlicht in:Mathematical methods in the applied sciences 2021-12, Vol.44 (18), p.14733-14765
Hauptverfasser: Shah, Khadija Ali, Zada, Akbar
Format: Artikel
Sprache:eng
Schlagworte:
Control stability
Controllability
Differential equations
finite time stability
Fixed points (mathematics)
impulsive system
Mathematical analysis
multiple delays
Stability analysis
β–Hyers–Ulam–Rassias stability
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Zusammenfassung:In the current article, controllability and stability analysis of a system of differential equations is investigated. The system is governed by semilinear impulsive differential equations of second order with two delays. Controllability is studied using Rothe's fixed point theory while stability analysis is carried out with the help of Grönwall inequality and some other conditions. Fixed point approach is incorporated in determination of uniqueness of solution.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.7739