Fractional Dynamics and Control

1. Front Matter

   Pages i-ix

   PDF

2. Fractional Control

   1. Front Matter

      Pages 1-1

      PDF

3. FRACTIONAL CONTROL

   1. A Formulation and Numerical Scheme for Fractional Optimal Control of Cylindrical Structures Subjected to General Initial Conditions

      • Md. Mehedi Hasan, X. W. Tangpong, O. P. Agrawal

      Pages 3-17

   2. Neural Network-Assisted PIλDμ Control

      • Mehmet Önder Efe

      Pages 19-31

   3. Application of Backstepping Control Technique to Fractional Order Dynamic Systems

      • Mehmet Önder Efe

      Pages 33-47

   4. Parameter Tuning of a Fractional-Order PI Controller Using the ITAE Criteria

      • Badreddine Boudjehem, Djalil Boudjehem

      Pages 49-57

   5. A Fractional Model Predictive Control for Fractional Order Systems

      • Djalil Boudjehem, Badreddine Boudjehem

      Pages 59-71

   6. A Note on the Sequential Linear Fractional Dynamical Systems from the Control System Viewpoint and L ² -Theory

      • Abolhassan Razminia, Vahid Johari Majd, Ahmad Feiz Dizaji

      Pages 73-83

   7. Stabilization of Fractional Order Unified Chaotic Systems via Linear State Feedback Controller

      • E. G. Razmjou, A. Ranjbar, Z. Rahmani, R. Ghaderi, S. Momani

      Pages 85-94

4. Fractional Variational Principles and Fractional Differential Equations

   1. Front Matter

      Pages 95-95

      PDF

5. FRACTIONAL VARIATIONAL PRINCIPLES AND FRACTIONAL DIFFERENTIAL EQUATIONS

   1. Fractional Variational Calculus for Non-differentiable Functions

      • Agnieszka B. Malinowska

      Pages 97-108

   2. Fractional Euler–Lagrange Differential Equations via Caputo Derivatives

      • Ricardo Almeida, Agnieszka B. Malinowska, Delfim F. M. Torres

      Pages 109-118

   3. Strict Stability of Fractional Perturbed Systems in Terms of Two Measures

      • Coşkun Yakar, Mustafa Bayram Gücen, Muhammed Çiçek

      Pages 119-132

   4. Initial Time Difference Strict Stability of Fractional Dynamic Systems

      • Coşkun Yakar, Mustafa Bayram Gücen

      Pages 133-144

   5. A Fractional Order Dynamical Trajectory Approach for Optimization Problem with HPM

      • Firat Evirgen, Necati Özdemir

      Pages 145-155

6. Fractional Calculus in Mathematics and Physics

   1. Front Matter

      Pages 157-157

      PDF

7. FRACTIONAL CALCULUS IN MATHEMATICS AND PHYSICS

   1. On the Hadamard Type Fractional Differential System

      • Ziqing Gong, Deliang Qian, Changpin Li, Peng Guo

      Pages 159-171

   2. Robust Synchronization and Parameter Identification of a Unified Fractional-Order Chaotic System

      • E. G. Razmjou, A. Ranjbar, Z. Rahmani, R. Ghaderi

      Pages 173-184

   3. Fractional Cauchy Problems on Bounded Domains: Survey of Recent Results

      • Erkan Nane

      Pages 185-198

   4. Fractional Analogous Models in Mechanics and Gravity Theories

      • Dumitru Baleanu, Sergiu I. Vacaru

      Pages 199-207

Fractional Dynamics and Control provides a comprehensive overview of recent advances in the areas of nonlinear dynamics, vibration and control with analytical, numerical, and experimental results. This book provides an overview of recent discoveries in fractional control, delves into fractional variational principles and differential equations, and applies advanced techniques in fractional calculus to solving complicated mathematical and physical problems.Finally, this book also discusses the role that fractional order modeling can play in complex systems for engineering and science.

• Fractional Control
• Fractional Differential Equations
• Fractional Dyanmics and Control
• Fractional Order Modeling
• Fractional calculus
• Nonlinear Dynamics
• Nonlinear Vibrations
• Partial Differential Equations
• complexity

• Faculty of Art and Sciences, Mathematics and Computer Sciences, Cankaya University, Ankara, Turkey

  Dumitru Baleanu

• Institute of Engineering, Department of Electrical Engineering, Polytechnic Institute of Porto, Porto, Portugal

  José António Tenreiro Machado

• Edwardsville, School of Engineering, Southern Illinois University, Edwardsville, USA

  Albert C. J. Luo

Policies and ethics