2012

Fractional Dynamics and Control

ISBN: 978-1-4614-0456-9 (Print) 978-1-4614-0457-6 (Online)

Table of contents (25 chapters)

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  1. Front Matter

    Pages i-ix

  2. FRACTIONAL CONTROL

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-17

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

    3. No Access

      Book Chapter

      Pages 19-31

      Neural Network-Assisted PIλDμ Control

    4. No Access

      Book Chapter

      Pages 33-47

      Application of Backstepping Control Technique to Fractional Order Dynamic Systems

    5. No Access

      Book Chapter

      Pages 49-57

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

    6. No Access

      Book Chapter

      Pages 59-71

      A Fractional Model Predictive Control for Fractional Order Systems

    7. No Access

      Book Chapter

      Pages 73-83

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

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      Book Chapter

      Pages 85-94

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

  3. FRACTIONAL VARIATIONAL PRINCIPLES AND FRACTIONAL DIFFERENTIAL EQUATIONS

    1. Front Matter

      Pages 95-95

    2. No Access

      Book Chapter

      Pages 97-108

      Fractional Variational Calculus for Non-differentiable Functions

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      Book Chapter

      Pages 109-118

      Fractional Euler–Lagrange Differential Equations via Caputo Derivatives

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      Book Chapter

      Pages 119-132

      Strict Stability of Fractional Perturbed Systems in Terms of Two Measures

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      Book Chapter

      Pages 133-144

      Initial Time Difference Strict Stability of Fractional Dynamic Systems

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      Book Chapter

      Pages 145-155

      A Fractional Order Dynamical Trajectory Approach for Optimization Problem with HPM

  4. FRACTIONAL CALCULUS IN MATHEMATICS AND PHYSICS

    1. Front Matter

      Pages 157-157

    2. No Access

      Book Chapter

      Pages 159-171

      On the Hadamard Type Fractional Differential System

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      Book Chapter

      Pages 173-184

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

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      Book Chapter

      Pages 185-198

      Fractional Cauchy Problems on Bounded Domains: Survey of Recent Results

    5. No Access

      Book Chapter

      Pages 199-207

      Fractional Analogous Models in Mechanics and Gravity Theories

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      Book Chapter

      Pages 209-215

      Schrödinger Equation in Fractional Space

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      Book Chapter

      Pages 217-228

      Solutions of Wave Equation in Fractional Dimensional Space

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      Book Chapter

      Pages 229-236

      Fractional Exact Solutions and Solitons in Gravity

  5. FRACTIONAL ORDER MODELING

    1. Front Matter

      Pages 237-237

    2. No Access

      Book Chapter

      Pages 239-247

      Front Propagation in an Autocatalytic Reaction-Subdiffusion System

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