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Browsing Masters by Author "Akagha, Godson Chukwu"

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    Controllability of impulsive differential systems with perturbation
    (Federal University of Technology, Owerri, 2023-11) Akagha, Godson Chukwu
    This study is on controllability of impulsive differential systems with perturbation. This work tries to assess the various phenomena and specific properties of impulsive equations, especially problems related to (i) controllability of the solution after perturbation on the impulsive moments (ii) stability to solution of differential equation with impulsive effects (iii) modelling and investigating the properties of dynamic systems with impulsive effects which sharply changes its states from ݔ଴ to a desired state ݔଵ . It was observed that the admissible control ݑ)ݐ (adopted in this work is appropriate and rightly tailored to transform a given system from an initial state to a final state and at finite time. However, inadequacies are apparent especially control of impulsive differential system with perturbation clearly shows that their solutions have different behaviours from the solution of non-impulsive control differential system with perturbation. This inadequacies have led to the emergence of application of the admissible control ݑ)ݐ (so as to achieve the desired result. Moreover, recommendations were made because of the dynamic nature of the system. However, we recommend that the work is open for further research especially to find out in particular whether controllability of impulsive system with perturbation will be naturally controllable (i.e. for non-autonomous impulsive optimal control system). Another area of further research may include impulsive differential system with variable moment of impulses.