TY - BOOK
ID - 42612
TI - Fractional Order Systems
AU - Petráš, Ivo
PB - MDPI - Multidisciplinary Digital Publishing Institute
PY - 2019
KW - anomalous diffusion
KW - complexity
KW - magnetic resonance imaging
KW - fractional calculus
KW - fractional complex networks
KW - adaptive control
KW - pinning synchronization
KW - time-varying delays
KW - impulses
KW - reaction–diffusion terms
KW - fractional calculus
KW - mass absorption
KW - diffusion-wave equation
KW - Caputo derivative
KW - harmonic impact
KW - Laplace transform
KW - Fourier transform
KW - Mittag-Leffler function
KW - fractional calculus
KW - fractional-order system
KW - long memory
KW - time series
KW - Hurst exponent
KW - fractional
KW - control
KW - PID
KW - parameter
KW - meaning
KW - audio signal processing
KW - linear prediction
KW - fractional derivative
KW - musical signal
KW - optimal randomness
KW - swarm-based search
KW - cuckoo search
KW - heavy-tailed distribution
KW - global optimization
SN - 9783039216086 9783039216093
AB - This book is focused on fractional order systems. Historically, fractional calculus has been recognized since the inception of regular calculus, with the first written reference dated in September 1695 in a letter from Leibniz to L’Hospital. Nowadays, fractional calculus has a wide area of applications in areas such as physics, chemistry, bioengineering, chaos theory, control systems engineering, and many others. In all those applications, we deal with fractional order systems in general. Moreover, fractional calculus plays an important role even in complex systems and therefore allows us to develop better descriptions of real-world phenomena. On that basis, fractional order systems are ubiquitous, as the whole real world around us is fractional. Due to this reason, it is urgent to consider almost all systems as fractional order systems.
ER -