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Book
Advances in Differential Dynamical Systems with Applications to Economics and Biology
Authors: --- ---
ISBN: 3036558667 3036558659 Year: 2022 Publisher: Basel MDPI - Multidisciplinary Digital Publishing Institute

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Abstract

In recent research on natural processes, mathematical modeling has become a very useful tool. It is often the case that, in fields such as economics and biology, a temporal lag between cause and effect must often be taken into consideration. In modeling, a natural and practical implementation of this phenomenon is through the use of distributed delays. This is because they illustrate the situation where temporal lags arise in certain ranges of values for certain related probability distributions, taking into account the variables’ entire history of behavior. Another mathematical tool that allows for the memory and inherited properties of systems to be encompassed in a model is the replacement of integer-order derivatives with fractional derivatives. To address realistic conditions, stochastic perturbation framed by a stochastic differential delay system can be used to explain the ambiguity about the context in which the system operates. The present book comprises all the 16 articles accepted and published in the Special Issue “Advances in Differential Dynamical Systems with Applications to Economics and Biology” of the MDPI journal Mathematics, with focuses on the dynamical analysis of mathematical models, arising from economy and biology, and innovative developments in mathematical techniques for their applications. We expect that the international scientific community will find this collection of research papers influential and that they will spur additional investigations on diverse applications with respect to dynamical systems in all scientific areas.


Book
Selected Papers from the 2018 41st International Conference on Telecommunications and Signal Processing (TSP)
Authors: --- ---
ISBN: 3039210416 3039210408 Year: 2019 Publisher: MDPI - Multidisciplinary Digital Publishing Institute

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This Special Issue contains a series of excellent research works on telecommunications and signal processing, selected from the 2018 41st International Conference on Telecommunications and Signal Processing (TSP) which was held on July 4–6, 2018, in Athens, Greece. The conference was organized in cooperation with the IEEE Region 8 (Europe, Middle East, and Africa), IEEE Greece Section, IEEE Czechoslovakia Section, and IEEE Czechoslovakia Section SP/CAS/COM Joint Chapter by seventeen universities from the Czech Republic, Hungary, Turkey, Taiwan, Japan, Slovak Republic, Spain, Bulgaria, France, Slovenia, Croatia, and Poland, for academics, researchers, and developers, and serves as a premier international forum for the annual exchange and promotion of the latest advances in telecommunication technology and signal processing. The aim of the conference is to bring together both novice and experienced scientists, developers, and specialists, to meet new colleagues, collect new ideas, and establish new cooperation between research groups from universities, research centers, and private sectors worldwide. This collection of 10 papers is highly recommended for researchers, and believed to be interesting, inspiring, and motivating for readers in their further research.


Book
Fractional Differential Equations: Theory, Methods and Applications
Authors: ---
ISBN: 303921733X 3039217321 Year: 2019 Publisher: MDPI - Multidisciplinary Digital Publishing Institute

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Fractional calculus provides the possibility of introducing integrals and derivatives of an arbitrary order in the mathematical modelling of physical processes, and it has become a relevant subject with applications to various fields, such as anomalous diffusion, propagation in different media, and propogation in relation to materials with different properties. However, many aspects from theoretical and practical points of view have still to be developed in relation to models based on fractional operators. This Special Issue is related to new developments on different aspects of fractional differential equations, both from a theoretical point of view and in terms of applications in different fields such as physics, chemistry, or control theory, for instance. The topics of the Issue include fractional calculus, the mathematical analysis of the properties of the solutions to fractional equations, the extension of classical approaches, or applications of fractional equations to several fields.


Book
Fractional Order Systems
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ISBN: 3039216090 3039216082 Year: 2019 Publisher: MDPI - Multidisciplinary Digital Publishing Institute

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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.


Book
Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors
Authors: --- --- --- ---
ISBN: 303897899X 3038978981 Year: 2019 Publisher: MDPI - Multidisciplinary Digital Publishing Institute

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In recent years, entropy has been used as a measure of the degree of chaos in dynamical systems. Thus, it is important to study entropy in nonlinear systems. Moreover, there has been increasing interest in the last few years regarding the novel classification of nonlinear dynamical systems including two kinds of attractors: self-excited attractors and hidden attractors. The localization of self-excited attractors by applying a standard computational procedure is straightforward. In systems with hidden attractors, however, a specific computational procedure must be developed, since equilibrium points do not help in the localization of hidden attractors. Some examples of this kind of system are chaotic dynamical systems with no equilibrium points; with only stable equilibria, curves of equilibria, and surfaces of equilibria; and with non-hyperbolic equilibria. There is evidence that hidden attractors play a vital role in various fields ranging from phase-locked loops, oscillators, describing convective fluid motion, drilling systems, information theory, cryptography, and multilevel DC/DC converters. This Special Issue is a collection of the latest scientific trends on the advanced topics of dynamics, entropy, fractional order calculus, and applications in complex systems with self-excited attractors and hidden attractors.

Keywords

S-Box algorithm --- empirical mode decomposition --- service game --- existence --- hyperchaotic system --- static memory --- complex-variable chaotic system --- neural network --- fractional-order --- permutation entropy --- adaptive approximator-based control --- BOPS --- Bogdanov Map --- complex systems --- Thurston’s algorithm --- parameter estimation --- fractional discrete chaos --- full state hybrid projective synchronization --- self-excited attractor --- stability --- PRNG --- inverse full state hybrid projective synchronization --- entropy measure --- chaos --- chaotic flow --- multistable --- core entropy --- multiscale multivariate entropy --- multistability --- new chaotic system --- strange attractors --- chaotic systems --- spatial dynamics --- spectral entropy --- resonator --- stochastic (strong) entropy solution --- multichannel supply chain --- Hubbard tree --- approximate entropy --- circuit design --- coexistence --- sample entropy --- chaotic maps --- chaotic map --- Gaussian mixture model --- entropy --- laser --- Non-equilibrium four-dimensional chaotic system --- multiple attractors --- projective synchronization --- hidden attractors --- hidden attractor --- chaotic system --- entropy analysis --- self-excited attractors --- multiple-valued --- self-reproducing system --- implementation --- unknown complex parameters --- optimization methods --- image encryption --- generalized synchronization --- uncertain dynamics --- fractional order --- nonlinear transport equation --- external rays --- Lyapunov exponents --- inverse generalized synchronization --- fixed point --- uniqueness --- electronic circuit realization --- synchronization --- Hopf bifurcation


Book
Modeling and Optimal Operation of Hydraulic, Wind and Photovoltaic Power Generation Systems
Authors: --- --- ---
ISBN: 3036558381 3036558373 Year: 2022 Publisher: Basel MDPI - Multidisciplinary Digital Publishing Institute

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The transition to 100% renewable energy in the future is one of the most important ways of achieving "carbon peaking and carbon neutrality" and of reducing the adverse effects of climate change. In this process, the safe, stable and economical operation of renewable energy generation systems, represented by hydro-, wind and solar power, is particularly important, and has naturally become a key concern for researchers and engineers. Therefore, this book focuses on the fundamental and applied research on the modeling, control, monitoring and diagnosis of renewable energy generation systems, especially hydropower energy systems, and aims to provide some theoretical reference for researchers, power generation departments or government agencies.

Keywords

Research & information: general --- Physics --- doubly-fed variable-speed pumped storage --- Hopf bifurcation --- stability analysis --- parameter sensitivity --- pumped storage unit --- degradation trend prediction --- maximal information coefficient --- light gradient boosting machine --- variational mode decomposition --- gated recurrent unit --- high proportional renewable power system --- active power --- change point detection --- maximum information coefficient --- cosine similarity --- anomaly detection --- thermal-hydraulic characteristics --- hydraulic oil viscosity --- hydraulic PTO --- wave energy converter --- pumped storage units --- pressure pulsation --- noise reduction --- sparrow search algorithm --- hybrid system --- facility agriculture --- chaotic particle swarms method --- operation strategy --- stochastic dynamic programming (SDP) --- power yield --- seasonal price --- reliability --- cascaded reservoirs --- doubly-fed variable speed pumped storage power station --- nonlinear modeling --- nonlinear pump turbine characteristics --- pumped storage units (PSUs) --- successive start-up --- ‘S’ characteristics --- low water head conditions --- multi-objective optimization --- fractional order PID controller (FOPID) --- hydropower units --- comprehensive deterioration index --- long and short-term neural network --- ensemble empirical mode decomposition --- approximate entropy --- 1D–3D coupling model --- transition stability --- sensitivity analysis --- hydro power


Book
Emerging Power Electronics Technologies for Sustainable Energy Conversion
Author:
ISBN: 3036563059 3036563067 Year: 2022 Publisher: Basel MDPI - Multidisciplinary Digital Publishing Institute

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Abstract

This Special Issue summarizes, in a single reference, timely emerging topics related to power electronics for sustainable energy conversion. Furthermore, at the same time, it provides the reader with valuable information related to open research opportunity niches.


Book
Deep Learning-Based Machinery Fault Diagnostics
Authors: --- --- ---
ISBN: 3036551743 3036551735 Year: 2022 Publisher: MDPI - Multidisciplinary Digital Publishing Institute

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This book offers a compilation for experts, scholars, and researchers to present the most recent advancements, from theoretical methods to the applications of sophisticated fault diagnosis techniques. The deep learning methods for analyzing and testing complex mechanical systems are of particular interest. Special attention is given to the representation and analysis of system information, operating condition monitoring, the establishment of technical standards, and scientific support of machinery fault diagnosis.

Keywords

Technology: general issues --- History of engineering & technology --- process monitoring --- dynamics --- variable time lag --- dynamic autoregressive latent variables model --- sintering process --- hammerstein output-error systems --- auxiliary model --- multi-innovation identification theory --- fractional-order calculus theory --- canonical variate analysis --- disturbance detection --- power transmission system --- k-nearest neighbor analysis --- statistical local analysis --- intelligent fault diagnosis --- stacked pruning sparse denoising autoencoder --- convolutional neural network --- anti-noise --- flywheel fault diagnosis --- belief rule base --- fuzzy fault tree analysis --- Bayesian network --- evidential reasoning --- aluminum reduction process --- alumina concentration --- subspace identification --- distributed predictive control --- spatiotemporal feature fusion --- gated recurrent unit --- attention mechanism --- fault diagnosis --- evidential reasoning rule --- system modelling --- information transformation --- parameter optimization --- event-triggered control --- interval type-2 Takagi–Sugeno fuzzy model --- nonlinear networked systems --- filter --- gearbox fault diagnosis --- convolution fusion --- state identification --- PSO --- wavelet mutation --- LSSVM --- data-driven --- operational optimization --- case-based reasoning --- local outlier factor --- abnormal case removal --- bearing fault detection --- deep residual network --- data augmentation --- canonical correlation analysis --- just-in-time learning --- fault detection --- high-speed trains --- autonomous underwater vehicle --- thruster fault diagnostics --- fault tolerant control --- robust optimization --- ocean currents --- n/a --- interval type-2 Takagi-Sugeno fuzzy model


Book
Intelligent Control in Energy Systems
Author:
ISBN: 3039214160 3039214152 Year: 2019 Publisher: MDPI - Multidisciplinary Digital Publishing Institute

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The editors of this Special Issue titled “Intelligent Control in Energy Systems” have attempted to create a book containing original technical articles addressing various elements of intelligent control in energy systems. In response to our call for papers, we received 60 submissions. Of those submissions, 27 were published and 33 were rejected. In this book, we offer the 27 accepted technical articles as well as one editorial. Authors from 15 countries (China, Netherlands, Spain, Tunisia, United Sates of America, Korea, Brazil, Egypt, Denmark, Indonesia, Oman, Canada, Algeria, Mexico, and the Czech Republic) elaborate on several aspects of intelligent control in energy systems. The book covers a broad range of topics including fuzzy PID in automotive fuel cell and MPPT tracking, neural networks for fuel cell control and dynamic optimization of energy management, adaptive control on power systems, hierarchical Petri Nets in microgrid management, model predictive control for electric vehicle battery and frequency regulation in HVAC systems, deep learning for power consumption forecasting, decision trees for wind systems, risk analysis for demand side management, finite state automata for HVAC control, robust ?-synthesis for microgrids, and neuro-fuzzy systems in energy storage.

Keywords

energy management system --- artificial neural network --- control architecture --- intelligent buildings --- sensitivity analysis --- neural networks --- active balance --- photovoltaic system --- fast frequency response --- artificial intelligence --- MPPT operation --- model uncertainty --- load frequency control --- decision tree --- multi-agent control --- hybrid power plant --- Fault Ride Through Capability --- optimization --- small scale compressed air energy storage (SS-CAES) --- smart micro-grid --- current distortion --- hybrid electric vehicle --- parameter estimation --- railway --- ANFIS --- solar monitoring system --- urban microgrids --- phase-load balancing --- model reduction --- high-speed railway --- energy internet --- coordination of reserves --- differential evolution --- photovoltaic array --- ancillary service --- adjacent areas --- instantaneous optimization minimum power loss --- model predictive control --- HVAC systems --- sliding mode control --- MPPT: maximum power point tracking --- power oscillations --- thyristor --- interaction minimization --- occupancy model --- fuzzy logic controller --- power transformer winding --- RLS --- integrated energy systems --- vibration characteristics --- battery safety --- error estimation --- error compensation --- static friction --- convolutional neural network --- forecasting --- continuous voltage control --- medium voltage --- bridgeless SEPIC PFC converter --- building climate control --- PEM fuel cell --- proton exchange membrane fuel cell --- compound structured permanent-magnet motor --- occupancy-based control --- four phases interleaved boost converter --- long short term memory --- line switching --- lithium-ion battery pack --- back propagation (BP) neural network --- doubly-fed induction generator --- double forgetting factors --- current controller design --- repetitive controller --- exhaust gas recirculation (EGR) valve system --- neural network controller --- step-up boost converter --- internal short circuit resistance --- electric power consumption --- electric vehicle --- multiphysical field analysis --- energy efficiency --- multi-energy complementary --- system identification --- ?-synthesis --- network sensitivity --- intelligent control --- ?-class function --- frequency support --- multi-step forecasting --- frequency containment reserve --- orthogonal least square --- rule-based control --- industrial process --- hierarchical Petri nets --- wind integrated power system --- probabilistic power flow --- voltage controlling --- adaptive backstepping --- AC-DC converters --- line loss --- demand side management --- energy systems --- short-circuit experiment --- winding-fault characteristics --- neutral section --- stochastic power system operating point drift --- neural network algorithm --- operation limit violations --- fractional order fuzzy PID controller --- preventive control --- AC static switch --- battery packs --- model-based fault detection --- automotive application --- nonlinear power systems --- adaptive damping control --- pilot point --- energy management --- position control --- frequency control dead band --- fuzzy --- voltage violations --- distribution network planning --- frequency regulation --- energy management strategy --- multiple-point control --- electric meter --- polynomial expansion --- commercial/residential buildings --- system modelling --- three-stage --- soft internal short circuit --- demand response


Book
Integral Transforms and Operational Calculus
Author:
ISBN: 3039216198 303921618X Year: 2019 Publisher: MDPI - Multidisciplinary Digital Publishing Institute

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Researches and investigations involving the theory and applications of integral transforms and operational calculus are remarkably wide-spread in many diverse areas of the mathematical, physical, chemical, engineering and statistical sciences.

Keywords

infinite-point boundary conditions --- nonlinear boundary value problems --- q-polynomials --- ?-generalized Hurwitz–Lerch zeta functions --- Hadamard product --- password --- summation formulas --- Hankel determinant --- multi-strip --- Euler numbers and polynomials --- natural transform --- fuzzy volterra integro-differential equations --- zeros --- fuzzy differential equations --- Szász operator --- q)-Bleimann–Butzer–Hahn operators --- distortion theorems --- analytic function --- generating relations --- differential operator --- pseudo-Chebyshev polynomials --- Chebyshev polynomials --- Mellin transform --- uniformly convex functions --- operational methods --- differential equation --- ?-convex function --- Fourier transform --- q)-analogue of tangent zeta function --- q -Hermite–Genocchi polynomials --- Dunkl analogue --- derivative properties --- q)-Euler numbers and polynomials of higher order --- exact solutions --- encryption --- spectrum symmetry --- advanced and deviated arguments --- PBKDF --- wavelet transform of generalized functions --- fuzzy general linear method --- Lommel functions --- highly oscillatory Bessel kernel --- generalized mittag-leffler function --- audio features --- the uniqueness of the solution --- analytic --- Mittag–Leffler functions --- Dziok–Srivastava operator --- Bell numbers --- rate of approximation --- Bessel kernel --- univalent functions --- inclusion relationships --- Liouville–Caputo-type fractional derivative --- tangent polynomials --- Bernoulli spiral --- multi-point --- q -Hermite–Euler polynomials --- analytic functions --- Fredholm integral equation --- orthogonality property --- Struve functions --- cryptography --- Janowski star-like function --- starlike and q-starlike functions --- piecewise Hermite collocation method --- uniformly starlike and convex functions --- q -Hermite–Bernoulli polynomials --- generalized functions --- meromorphic function --- basic hypergeometric functions --- fractional-order differential equations --- q -Sheffer–Appell polynomials --- integral representations --- Srivastava–Tomovski generalization of Mittag–Leffler function --- Caputo fractional derivative --- Bernoulli --- symmetric --- sufficient conditions --- nonlocal --- the existence of a solution --- functions of bounded boundary and bounded radius rotations --- differential inclusion --- symmetry of the zero --- recurrence relation --- nonlinear boundary value problem --- Volterra integral equations --- Ulam stability --- q)-analogue of tangent numbers and polynomials --- starlike function --- function spaces and their duals --- strongly starlike functions --- q)-Bernstein operators --- vibrating string equation --- ?-generalized Hurwitz-Lerch zeta functions --- bound on derivatives --- Janowski convex function --- volterra integral equation --- strongly-starlike function --- Hadamard product (convolution) --- regular solution --- generalized Hukuhara differentiability --- functions with positive real part --- exponential function --- q–Bleimann–Butzer–Hahn operators --- Carlitz-type q-tangent polynomials --- distributions --- Carlitz-type q-tangent numbers --- starlike functions --- Riemann-Stieltjes functional integral --- hash --- K-functional --- (p --- Euler --- truncated-exponential polynomials --- Maple graphs --- Hurwitz-Euler eta function --- higher order Schwarzian derivatives --- generating functions --- strongly convex functions --- Hölder condition --- multiple Hurwitz-Euler eta function --- recurrence relations --- q-starlike functions --- partial sum --- Euler and Genocchi polynomials --- tangent numbers --- spectral decomposition --- determinant definition --- monomiality principle --- highly oscillatory --- Hurwitz-Lerch zeta function --- Adomian decomposition method --- analytic number theory --- existence --- existence of at least one solution --- symmetric identities --- modulus of continuity --- modified Kudryashov method --- MFCC --- q-hypergeometric functions --- differential subordination --- Janowski functions --- and Genocchi numbers --- series representation --- initial conditions --- generalization of exponential function --- upper bound --- q-derivative (or q-difference) operator --- DCT --- Schwartz testing function space --- anuran calls --- generalized Kuramoto–Sivashinsky equation --- Mittag–Leffler function --- subordination --- Hardy space --- convergence --- Hermite interpolation --- direct Hermite collocation method --- q-Euler numbers and polynomials --- distribution space --- Apostol-type polynomials and Apostol-type numbers --- Schauder fixed point theorem --- fractional integral --- convolution quadrature rule --- q)-integers --- Liouville-Caputo fractional derivative --- fixed point --- convex functions --- Grandi curves --- tempered distributions --- higher order q-Euler numbers and polynomials --- radius estimate

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