Controllability of Nonlinear Fractional Systems with Multiple State and Control Delays
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Date
2025
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Global Science Press
Abstract
This study focuses on examining the controllability of nonlinear fractional differential systems in finite-dimensional spaces, considering multiple delays in both state and control. For linear systems, the necessary and sufficient conditions for relative controllability are established through the definition and application of the Gramian matrix. For nonlinear systems, controllability conditions are derived using Schauder’s fixed point theorem. © 2025, Global Science Press. All rights reserved.
Description
Keywords
Fractional Differential System, Mittag-Leffler-Type Function, Multiple Control Delays, Multiple State Delays, Multivariate Matrix Equations, Relative Controllability
WoS Q
N/A
Scopus Q
Q3
Source
Journal of Nonlinear Modeling and Analysis
Volume
7
Issue
5
Start Page
1965
End Page
1981