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Controllability of Impulsive Nonlinear Fractional Dynamical System with Delays in State and Control

Year: 2024

Type: article

Abstract: In this paper, the controllability of nonlinear impulsive fractional dynamical system with delays in state and control is analyzed by using a delayed Mittag Leffler (M-L) function. Controllability Grammian matrix is used to establish the controllability of linear system. The sufficient conditions of the considered nonlinear system are derived by utilizing the fixed point techniques. Finally, an example is provided for the illustration of the obtained result.

Source: Contemporary Mathematics

DOI: 10.37256/cm.5420242717

Authors: G. Arthi, S. Gopika

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Science and Engineering Research Board

OpenAlex ID: W4405582812

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