Fractional Dynamics and Control

2012
ISBN: 978-1-4614-0456-9
Verlag: Springer

Buch, Englisch, 310 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 647 g

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.

Zielgruppe

Research

Autoren/Hrsg.

Baleanu, Dumitru

Luo, Albert C. J.

Machado, José António Tenreiro

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Dynamische Systeme
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung

Inhaltsverzeichnis

Part I Fractional Control.-  A Formulation and Numerical Scheme for Fractional Optimal Control of Cylindrical Structures.- Neural Network Assisted PID Control.- Application of Backstepping Control Technique to Fractional Order Dynamic Systems.- Parameter Tuning of a Fractional-Order PI Controller Using the ITAE Criteria.- A Fractional model predictive control for fractional order systems.- A note on the sequential linear fractional dynamical systems from the control system view point and L^2theory.- Stabilization of Fractional Order Unified Chaotic Systems via Linear State Feedback Controller.- Part II Fractional Variational Principles and Fractional Differential Equations.- Fractional variational calculus for non-differentiable functions.- Fractional Euler-Lagrange differential equations via Caputo derivatives, Ricardo Almeida.-Strict Stability of Fractional Perturbed Systems in Terms of Two Measures.- Initial Time Difference Strict Stability of Fractional Dynamic Systems.- A Fractional Order Dynamical Trajectory Approach for Optimization Problem with HPM.- Part III Fractional Calculus in Mathematics and Physics.- On the Hadamard type fractional differential system.- Robust Synchronization and Parameter Identification of Fractional-Order Unified Chaotic System.- Fractional Cauchy problems on bounded domains: survey of recent results.- Fractional analogous models in mechanics and gravity theories.-Schrodinger equation in fractional space.- Solutions of wave equations in fractional dimensional space.- Fractional exact solutions and solitons in gravity.- Part IV Fractional Order Modeling.- Front propagation in an autocatalytic reaction-subdiffusion system.- Numerical Solution of A Two Dimensional Anomalous Diffusion Problem.- Analyzing Anomalous Diffusion in NMR Using a Distribution ofRate Constants.- Using fractional derivatives to generalize the Hodgkin-Huxley model.- An Application of Fractional Calculus to Dielectric Relaxation Processes.- Fractional wave equation for dielectric medium with Havriliak-Negami response