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Stabilization of Uncertain Fractional-Order Neutral-Type Delay Systems

  • Book

  • December 2025
  • Elsevier Science and Technology
  • ID: 6250387

Stabilization of Uncertain Fractional-Order Neutral-Type Delay Systems focuses on stabilizing uncertain fractional-order (FO) neutral-type (FONT) systems, addressing challenges like control input saturation and actuator delay. Beginning with a comprehensive introduction, the book progresses from constant fractional-order FONT (CFONT) systems to variable fractional-order FONT (VFONT) systems. It explores non-optimal and sub-optimal control techniques, such as guaranteed cost controllers (GCC), offering closed-loop stability and performance. Stabilization conditions are presented as linear matrix inequalities (LMIs), facilitating easy resolution with available toolboxes like MATLAB's LMI toolbox, or free software such as SEDUMI and YALMIP.

In addition, the book investigates both state- and output-feedback controller structures. While most literature focuses on state-feedback control, the book acknowledges the limitations of accessing all system states and explores output-feedback control as an alternative. Both static and dynamic feedback controller types are studied, with dynamic feedback controllers offering improved transient response at the expense of increased complexity.

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Table of Contents

Part I Introduction
1. Introduction

Part II Stabilization of constant fractional-order neutral-type delay systems Outline Basic concept Lemmas
2. Stabilization of constant fractional-order neutral-type delay systems subject to actuator saturation
3. Stabilization of constant fractional-order neutral-type delay systems with multiple delays and nonlinear perturbations subject to actuator saturation
4. Stabilization of constant fractional-order neutral-type delay systems with distributed delays and nonlinear perturbations subject to actuator saturation
5. Observer-based stabilization of constant fractional-order neutral-type delay systems with time-varying delay subject to actuator saturation

Part III Guaranteed-cost-based control technique for stabilization of constant fractional-order neutral-type delay systems Outline Basic concept Lemmas
6. Stabilization with time-varying structured uncertainties
7. Stabilization with time-varying structured uncertainties and nonlinear perturbations

Part IV Stability and stabilization of variable fractional-order neutral-type delay systems Outline Basic concept Lemmas
8. Stability of variable fractional-order neutral-type delay systems
9. Stabilization of variable fractional-order neutral-type delay systems

Authors

Alireza Alfi Faculty of Electrical Engineering, Shahrood University of Technology, Shahrood, Iran.

Alireza Alfi received a PhD in Control Engineering in 2008, from the Iran University of Science and Technology, Tehran, Iran. His current research interests are: Control Systems Theory, Time Delay Systems, Fractional Order Systems, Multi-agent Systems, Optimization.

Zahra Sadat Aghayan Electrical Engineering Department, Faculty of Engineering, University of Garmsar, Iran. Zahra Sadat Aghayan received a PhD in Control Engineering in 2021, from the Shahrood University of Technology, Shahrood, Iran. Her current research interests are: Fractional Order Systems, Time Delay Systems, Robust Control, Linear Matrix Inequalities. Ant�nio M. Lopes Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, Porto, Portugal. Ant�nio M. Lopes received a PhD in Mechanical Engineering in 2000, from the University of Porto, Portugal. His current research interests are: Automation, Robotics, Complex Systems, Fractional Order Systems, Modelling and Control.