In recent years fractional calculus has played an important role in various fields such as mechanics, electricity, chemistry, biology, economics, modeling, identification, control theory and signal processing. The scope of this book is to present the state of the art in the study of fractional systems and the application of fractional differentiation. Furthermore, the manufacture of nanowires is important for the design of nanosensors and the development of high-yield thin films is vital in procuring clean solar energy.
This wide range of applications is of interest to engineers, physicists and mathematicians.
Author(s): Krishna V. Singh, Miroslav Penchev, Xiaoye Jing, Alfredo A. Martinez–Morales (auth.), Dumitru Baleanu, Ziya B. Guvenc, J. A. Tenreiro Machado (eds.)
Edition: 1
Publisher: Springer Netherlands
Year: 2010
Language: English
Pages: 531
Tags: Appl.Mathematics/Computational Methods of Engineering; Mechanical Engineering; Electrical Engineering; Systems Theory, Control; Simulation and Modeling; Nanotechnology
Front Matter....Pages i-x
Front Matter....Pages 1-1
Novel Molecular Diodes Developed by Chemical Conjugation of Carbon Nanotubes with Peptide Nucleic Acid....Pages 3-15
Hybrid Single Walled Carbon Nanotube FETs for High Fidelity DNA Detection....Pages 17-24
Towards Integrated Nanoelectronic and Photonic Devices....Pages 25-41
Quantum Confinement in Nanometric Structures....Pages 43-56
Front Matter....Pages 57-67
Air-Fuel Ratio Control of an Internal Combustion Engine Using CRONE Control Extended to LPV Systems....Pages 70-70
Analysis of the Fractional Dynamics of an Ultracapacitor and Its Application to a Buck-Boost Converter....Pages 71-86
Approximation of a Fractance by a Network of Four Identical RC Cells Arranged in Gamma and a Purely Capacitive Cell....Pages 87-96
Front Matter....Pages 97-105
On Deterministic Fractional Models....Pages 107-120
A New Approach for Stability Analysis of Linear Discrete-Time Fractional-Order Systems....Pages 122-122
Stability of Fractional-Delay Systems: A Practical Approach....Pages 123-150
Comparing Numerical Methods for Solving Nonlinear Fractional Order Differential Equations....Pages 151-162
Fractional-Order Backward-Difference Definition Formula Analysis....Pages 163-170
Fractional Differential Equations on Algebroids and Fractional Algebroids....Pages 171-179
Generalized Hankel Transform and Fractional Integrals on the Spaces of Generalized Functions....Pages 181-191
Some Bounds on Maximum Number of Frequencies Existing in Oscillations Produced by Linear Fractional Order Systems....Pages 193-201
Fractional Derivatives with Fuzzy Exponent....Pages 203-212
Game Problems for Fractional-Order Systems....Pages 213-220
Synchronization Analysis of Two Networks....Pages 221-231
Front Matter....Pages 233-241
Modeling Ultracapacitors as Fractional-Order Systems....Pages 243-253
IPMC Actuators Non Integer Order Models....Pages 256-256
On the Implementation of a Limited Frequency Band Integrator and Application to Energetic Material Ignition Prediction....Pages 257-262
Fractional Order Model of Beam Heating Process and Its Experimental Verification....Pages 263-272
Analytical Design Method for Fractional Order Controller Using Fractional Reference Model....Pages 273-285
On Observability of Nonlinear Discrete-Time Fractional-Order Control Systems....Pages 287-294
Chaotic Fractional Order Delayed Cellular Neural Network....Pages 295-303
Fractional Wavelet Transform for the Quantitative Spectral Analysis of Two-Component System....Pages 305-312
Fractional Wavelet Transform and Chemometric Calibrations for the Simultaneous Determination of Amlodipine and Valsartan in Their Complex Mixture....Pages 313-320
Front Matter....Pages 321-331
Analytical Impulse Response of Third Generation CRONE Control....Pages 333-340
Stability Analysis of Fractional Order Universal Adaptive Stabilization....Pages 342-342
Position and Velocity Control of a Servo by Using GPC of Arbitrary Real Order....Pages 343-356
Decentralized CRONE Control of mxn Multivariable System with Time-Delay....Pages 357-368
Fractional Order Adaptive Control for Cogging Effect Compensation....Pages 369-376
Generalized Predictive Control of Arbitrary Real Order....Pages 377-391
Frequency Response Based CACSD for Fractional Order Systems....Pages 393-409
Resonance and Stability Conditions for Fractional Transfer Functions of the Second Kind....Pages 411-418
Synchronization of Fractional-Order Chaotic System via Adaptive PID Controller....Pages 419-427
On Fractional Control Strategy for Four-Wheel-Steering Vehicle....Pages 429-444
Fractional Order Sliding Mode Controller Design for Fractional Order Dynamic Systems....Pages 445-452
Front Matter....Pages 453-462
A Fractional Order Adaptation Law for Integer Order Sliding Mode Control of a 2DOF Robot....Pages 463-470
Synchronization of Chaotic Nonlinear Gyros Using Fractional Order Controller....Pages 342-342
Nyquist Envelope of Fractional Order Transfer Functions with Parametric Uncertainty....Pages 471-478
Synchronization of Gyro Systems via Fractional-Order Adaptive Controller....Pages 479-485
Controllability and Minimum Energy Control Problem of Fractional Discrete-Time Systems....Pages 487-494
Control of Chaos via Fractional-Order State Feedback Controller....Pages 495-502
Back Matter....Pages 503-509
....Pages 511-519
