New Developments in Tracking and Stabilization of Fractional-Order Systems

A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Engineering".

Deadline for manuscript submissions: 30 September 2024 | Viewed by 738

Special Issue Editors


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Guest Editor
School of Electrical Engineering, Chungbuk National University, Cheongju 28644, Republic of Korea
Interests: stability and stabilization; fractional-order systems; complex dynamical systems

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Guest Editor
Department of Mathematics, Sungkyunkwan University, Suwon 16419, Republic of Korea
Interests: robust control; stabilization; fractional-order systems; multi-agent systems

Special Issue Information

Dear Colleagues,

The concept of fractional calculus extends the derivatives and integrals to non-integer orders in a generalized manner. Systems that incorporate fractional integrals and derivatives in their dynamical models are known as fractional order systems. Various definitions exist for the fractional derivative, including the Riemann-Liouville, Caputo, and so on, each displaying unique characteristics. Alongside fractional derivatives, fractional-order systems also involve fractional integrals. The study of fractional-order systems has garnered significant attention due to their ability to provide more accurate descriptions of many real-world systems. The applications of fractional-order systems can be found in several areas such as signal processing, biomedical systems, signal processing, and so on. Fractional-order systems and control have become an area of active research and attention due to their potential to provide more accurate modeling and control solutions for various complex processes.

The key objective of this Special Issue is to compile a collection of articles that illustrate new developments and findings in the stabilization and tracking control of fractional-order systems. In this Special Issue, significant attention will be dedicated to discovering novel approaches, highlighting notable innovations in both the theoretical foundations and practical applications of fractional-order systems.

Dr. Sakthivel Ramalingam
Dr. Parivallal Arumugam
Guest Editors

Manuscript Submission Information

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Keywords

  • robust control of fractional-order cyber–physical systems
  • tracking control of fractional-order systems
  • stabilization of fractional-order systems
  • fractional-order time delay systems
  • disturbance rejection of fractional order systems
  • optimal control of fractional-order systems
  • event-triggered control for fractional order systems
  • fractional-order networked control systems
  • fractional-order neural networks
  • fractional-order fuzzy systems

Published Papers (1 paper)

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Research

24 pages, 346 KiB  
Article
Existence of Solutions for Caputo Sequential Fractional Differential Inclusions with Nonlocal Generalized Riemann–Liouville Boundary Conditions
by Murugesan Manigandan, Saravanan Shanmugam, Mohamed Rhaima and Elango Sekar
Fractal Fract. 2024, 8(8), 441; https://doi.org/10.3390/fractalfract8080441 - 26 Jul 2024
Viewed by 397
Abstract
In this study, we explore the existence and uniqueness of solutions for a boundary value problem defined by coupled sequential fractional differential inclusions. This investigation is augmented by the introduction of a novel set of generalized Riemann–Liouville boundary conditions. Utilizing Carathéodory functions and [...] Read more.
In this study, we explore the existence and uniqueness of solutions for a boundary value problem defined by coupled sequential fractional differential inclusions. This investigation is augmented by the introduction of a novel set of generalized Riemann–Liouville boundary conditions. Utilizing Carathéodory functions and Lipschitz mappings, we establish existence results for these nonlocal boundary conditions. Utilizing fixed-point theorems designed for multi-valued maps, we obtain significant existence results for the problem, considering both convex and non-convex values. The derived results are clearly demonstrated with an illustrative example. Numerical examples are provided to validate the theoretical conclusions, contributing to a deeper understanding of fractional-order boundary value problems. Full article
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