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Fractional Dynamics and Control

Dumitru Baleanu, José António Tenreiro Machado, and Albert C. J. Luo, editors
Publisher: 
Springer
Publication Date: 
2012
Number of Pages: 
309
Format: 
Hardcover
Price: 
129.00
ISBN: 
9781461404569
Category: 
Anthology
We do not plan to review this book.

Part I Fractional Control.-  A Formulation and Numerical Scheme for Fractional Optimal Control of Cylindrical Structures.- Neural Network Assisted PIlDm 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 of Rate 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