Authors :
Paul Anaetodike Oraekie; Chukwuma Uzoma Okele
Volume/Issue :
Volume 8 - 2023, Issue 9 - September
Google Scholar :
https://tinyurl.com/2tby9ku9
Scribd :
https://tinyurl.com/zdcxch8x
DOI :
https://doi.org/10.5281/zenodo.8437449
Abstract :
In this work, Nonlinear Neutral Type
Fractional Order Differential Systems with State Delays
and Distributed Delays in the Control and Impulsive
Effects in Banach Space is presented for Controllability
analysis. From the analysis, we established that the
System is Null Controllable, and a set of necessary and
sufficient conditions for such systems to be Null
Controllable were established. Uses were made of the
uniformly asymptotically Stability of its Linear Free
Base System and the Properness of its Linear Control
Base System. We also established that the System
admits the Solution pair (x, u) and hence the form of the
null control of the system was obtained, using the Riesz
theorem and Schauder’s Fixed Point theorem.
Keywords :
Null Controllability, Asymptotically Stability, Properness, Controllability, Orthogonality.
In this work, Nonlinear Neutral Type
Fractional Order Differential Systems with State Delays
and Distributed Delays in the Control and Impulsive
Effects in Banach Space is presented for Controllability
analysis. From the analysis, we established that the
System is Null Controllable, and a set of necessary and
sufficient conditions for such systems to be Null
Controllable were established. Uses were made of the
uniformly asymptotically Stability of its Linear Free
Base System and the Properness of its Linear Control
Base System. We also established that the System
admits the Solution pair (x, u) and hence the form of the
null control of the system was obtained, using the Riesz
theorem and Schauder’s Fixed Point theorem.
Keywords :
Null Controllability, Asymptotically Stability, Properness, Controllability, Orthogonality.
