On the generalized extended constrained controllability of typical delay systems
Department of Mathematics, Imo State University, Owerri, Imo State, Nigeria.
Research Article
Magna Scientia Advanced Engineering and Technology, 2022, 01(01), 018–029
Article DOI: 10.30574/msaet.2022.1.1.0056
Publication history:
Received on 27 December 2021; revised on 03 February 2022; accepted on 05 February 2022
Abstract:
In this work, On the Generalized Extended Constrained Controllability of Typical Delay Systems, we seek to establish some controllability conditions for Linear and Semi linear retarded delay systems. We systematically established a relative approach for necessary and sufficient conditions (N. A. S. C) for the constrained delay system, by varying the order of the integral solution as well as comparing a delay and a control system. Sufficient conditions for local relative controllability of semi linear retarded delay system are also established, using the associated linear dynamical system. We applied the well-known “generalized open mapping theorem” in obtaining our result. Herein, are numerical applications, relevant to the some of the results.
Keywords:
Controllability; Linear; Semi linear; Constrained controls; Delay systems; Retarded delay systems
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