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The dynamics of systems have proven to be very powerful tools in understanding the behavior of different natural phenomena throughout the last two centuries. However, the attributes of natural systems are observed to deviate from their classical states due to the effect of different types of uncertainties. Actually, randomness and impreciseness are the two major sources of uncertainties in natural systems. Randomness is modeled by different stochastic processes and impreciseness could be modeled by fuzzy sets, rough sets, Dempster–Shafer theory, etc.

Research & information: general --- Mathematics & science --- Fuzzy MARCOS --- Fuzzy PIPRECIA --- traffic risk --- TFN --- MCDM --- dual-rotor --- multi-frequency excitation --- non-intrusive calculation --- metamodel --- NDSL model --- AHP --- criteria weights --- pairwise comparisons --- AES --- PC --- MIMO discrete-time system --- state feedback and output feedback --- parameter dependence --- D numbers --- fuzzy sets --- DEMATEL --- multi-criteria decision-making --- multi-criteria optimization --- RAFSI method --- performance comparison --- rank reversal --- Magnetic Resonance Imaging (MRI) --- wavelet transform --- GARCH --- LLA --- LDA --- KNN --- BWM --- BWM-I --- multi-criteria --- renewable energy --- the CCSD method --- the ITARA method --- the MARCOS method --- stackers --- logistics --- ensemble techniques --- data mining --- classification and discrimination --- linear regression --- applied mathematics general --- prediction theory --- theory of mathematical modeling --- medical applications --- empathic building --- fuzzy grey cognitive maps --- Thayer's emotion model --- artificial emotions --- affective computing --- Fuzzy MARCOS --- Fuzzy PIPRECIA --- traffic risk --- TFN --- MCDM --- dual-rotor --- multi-frequency excitation --- non-intrusive calculation --- metamodel --- NDSL model --- AHP --- criteria weights --- pairwise comparisons --- AES --- PC --- MIMO discrete-time system --- state feedback and output feedback --- parameter dependence --- D numbers --- fuzzy sets --- DEMATEL --- multi-criteria decision-making --- multi-criteria optimization --- RAFSI method --- performance comparison --- rank reversal --- Magnetic Resonance Imaging (MRI) --- wavelet transform --- GARCH --- LLA --- LDA --- KNN --- BWM --- BWM-I --- multi-criteria --- renewable energy --- the CCSD method --- the ITARA method --- the MARCOS method --- stackers --- logistics --- ensemble techniques --- data mining --- classification and discrimination --- linear regression --- applied mathematics general --- prediction theory --- theory of mathematical modeling --- medical applications --- empathic building --- fuzzy grey cognitive maps --- Thayer's emotion model --- artificial emotions --- affective computing

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Noncooperative Game Theory is aimed at students interested in using game theory as a design methodology for solving problems in engineering and computer science. João Hespanha shows that such design challenges can be analyzed through game theoretical perspectives that help to pinpoint each problem's essence: Who are the players? What are their goals? Will the solution to "the game" solve the original design problem? Using the fundamentals of game theory, Hespanha explores these issues and more.The use of game theory in technology design is a recent development arising from the intrinsic limitations of classical optimization-based designs. In optimization, one attempts to find values for parameters that minimize suitably defined criteria-such as monetary cost, energy consumption, or heat generated. However, in most engineering applications, there is always some uncertainty as to how the selected parameters will affect the final objective. Through a sequential and easy-to-understand discussion, Hespanha examines how to make sure that the selection leads to acceptable performance, even in the presence of uncertainty-the unforgiving variable that can wreck engineering designs. Hespanha looks at such standard topics as zero-sum, non-zero-sum, and dynamics games and includes a MATLAB guide to coding.Noncooperative Game Theory offers students a fresh way of approaching engineering and computer science applications.An introduction to game theory applications for students of engineering and computer science Materials presented sequentially and in an easy-to-understand fashionTopics explore zero-sum, non-zero-sum, and dynamics gamesMATLAB commands are included

Noncooperative games (Mathematics) --- Game theory --- Cooperative games (Mathematics) --- MATLAB. --- Minimax Theorem. --- N-player game. --- Nash equilibrium. --- Separating Hyperplane Theorem. --- Sudoku puzzle. --- action space. --- action. --- admissible Nash equilibrium. --- advertising campaign. --- alternate play. --- average security level. --- battle of the sexes. --- behavioral policy. --- behavioral saddle-point equilibrium. --- best-response equivalent games. --- bilateral symmetric game. --- bimatrix game. --- bimatrix potential. --- chicken game. --- circuit design. --- completely mixed Nash equilibrium. --- computational complexity. --- computer science. --- congestion game. --- continuous time cost-to-go. --- continuous time differential. --- continuous time dynamic programming. --- continuous time dynamic. --- convex analysis. --- convex hull. --- decoupled game. --- design methodology. --- differential game. --- discrete time cost-to-go. --- discrete time dynamic programming. --- discrete time dynamic. --- distributed resource allocation. --- dummy game. --- dynamic game. --- engineering. --- extensive form game representation. --- feedback game. --- fictitious play. --- finite one-player. --- game theory. --- graphical method. --- hyperplane. --- identical interests. --- information structure. --- linear program. --- linear quadratic dynamic. --- minimum. --- mixed Nash equilibrium. --- mixed action space. --- mixed policy. --- mixed saddle-point equilibrium. --- mixed security policy. --- multi-stage game. --- network routing. --- non-feedback game. --- non-zero-sum. --- noncooperative game theory. --- open-loop policy. --- open-loop. --- optimization-based design. --- order interchangeability property. --- policy. --- potential game. --- probability distribution. --- pure N-player game. --- pure policy. --- recursive computation. --- regret. --- robust design. --- rock-paper-scissors. --- rope-pulling. --- saddle-point equilibrium. --- security level. --- security policy. --- simultaneous play. --- single-stage game. --- state feedback information structure. --- state-feedback policy. --- stochastic policy. --- strictly dominating policy. --- symmetry game. --- tic-tac-toe. --- tree structure. --- uncertainty. --- variable termination time. --- war of attrition. --- weakly dominating policy. --- zebra in the lake. --- zero sum dynamic. --- zero-sum matrix. --- zero-sum two-person. --- zero-sum. --- MATLAB. --- Minimax Theorem. --- N-player game. --- Nash equilibrium. --- Separating Hyperplane Theorem. --- Sudoku puzzle. --- action space. --- action. --- admissible Nash equilibrium. --- advertising campaign. --- alternate play. --- average security level. --- battle of the sexes. --- behavioral policy. --- behavioral saddle-point equilibrium. --- best-response equivalent games. --- bilateral symmetric game. --- bimatrix game. --- bimatrix potential. --- chicken game. --- circuit design. --- completely mixed Nash equilibrium. --- computational complexity. --- computer science. --- congestion game. --- continuous time cost-to-go. --- continuous time differential. --- continuous time dynamic programming. --- continuous time dynamic. --- convex analysis. --- convex hull. --- decoupled game. --- design methodology. --- differential game. --- discrete time cost-to-go. --- discrete time dynamic programming. --- discrete time dynamic. --- distributed resource allocation. --- dummy game. --- dynamic game. --- engineering. --- extensive form game representation. --- feedback game. --- fictitious play. --- finite one-player. --- game theory. --- graphical method. --- hyperplane. --- identical interests. --- information structure. --- linear program. --- linear quadratic dynamic. --- minimum. --- mixed Nash equilibrium. --- mixed action space. --- mixed policy. --- mixed saddle-point equilibrium. --- mixed security policy. --- multi-stage game. --- network routing. --- non-feedback game. --- non-zero-sum. --- noncooperative game theory. --- open-loop policy. --- open-loop. --- optimization-based design. --- order interchangeability property. --- policy. --- potential game. --- probability distribution. --- pure N-player game. --- pure policy. --- recursive computation. --- regret. --- robust design. --- rock-paper-scissors. --- rope-pulling. --- saddle-point equilibrium. --- security level. --- security policy. --- simultaneous play. --- single-stage game. --- state feedback information structure. --- state-feedback policy. --- stochastic policy. --- strictly dominating policy. --- symmetry game. --- tic-tac-toe. --- tree structure. --- uncertainty. --- variable termination time. --- war of attrition. --- weakly dominating policy. --- zebra in the lake. --- zero sum dynamic. --- zero-sum matrix. --- zero-sum two-person. --- zero-sum.

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It is very well known that differential equations are related with the rise of physical science in the last several decades and they are used successfully for models of real-world problems in a variety of fields from several disciplines. Additionally, difference equations represent the discrete analogues of differential equations. These types of equations started to be used intensively during the last several years for their multiple applications, particularly in complex chaotic behavior. A certain class of differential and related difference equations is represented by their respective fractional forms, which have been utilized to better describe non-local phenomena appearing in all branches of science and engineering. The purpose of this book is to present some common results given by mathematicians together with physicists, engineers, as well as other scientists, for whom differential and difference equations are valuable research tools. The reported results can be used by researchers and academics working in both pure and applied differential equations.

Research & information: general --- Mathematics & science --- dynamic equations --- time scales --- classification --- existence --- necessary and sufficient conditions --- fractional calculus --- triangular fuzzy number --- double-parametric form --- FRDTM --- fractional dynamical model of marriage --- approximate controllability --- degenerate evolution equation --- fractional Caputo derivative --- sectorial operator --- fractional symmetric Hahn integral --- fractional symmetric Hahn difference operator --- Arrhenius activation energy --- rotating disk --- Darcy–Forchheimer flow --- binary chemical reaction --- nanoparticles --- numerical solution --- fractional differential equations --- two-dimensional wavelets --- finite differences --- fractional diffusion-wave equation --- fractional derivative --- ill-posed problem --- Tikhonov regularization method --- non-linear differential equation --- cubic B-spline --- central finite difference approximations --- absolute errors --- second order differential equations --- mild solution --- non-instantaneous impulses --- Kuratowski measure of noncompactness --- Darbo fixed point --- multi-stage method --- multi-step method --- Runge–Kutta method --- backward difference formula --- stiff system --- numerical solutions --- Riemann-Liouville fractional integral --- Caputo fractional derivative --- fractional Taylor vector --- kerosene oil-based fluid --- stagnation point --- carbon nanotubes --- variable thicker surface --- thermal radiation --- differential equations --- symmetric identities --- degenerate Hermite polynomials --- complex zeros --- oscillation --- third order --- mixed neutral differential equations --- powers of stochastic Gompertz diffusion models --- powers of stochastic lognormal diffusion models --- estimation in diffusion process --- stationary distribution and ergodicity --- trend function --- application to simulated data --- n-th order linear differential equation --- two-point boundary value problem --- Green function --- linear differential equation --- exponential stability --- linear output feedback --- stabilization --- uncertain system --- nonlocal effects --- linear control system --- Hilbert space --- state feedback control --- exact controllability --- upper Bohl exponent

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Renewable energies are becoming a must to counteract the consequences of the global warming. More efficient devices and better control strategies are required in the generation, transport, and conversion of electricity. Energy is processed by power converters that are currently the key building blocks in modern power distribution systems. The associated electrical architecture is based on buses for energy distribution and uses a great number of converters for interfacing both input and output energy. This book shows that sliding-mode control is contributing to improve the performances of power converters by means of accurate theoretical analyses that result in efficient implementations. The sliding-mode control of power converters for renewable energy applications offers a panoramic view of the most recent uses of this regulation technique in practical cases. By presenting examples that range from dozens of kilowatts to only a few watts, the book covers control solutions for AC–DC and DC–AC generation, power factor correction, multilevel converters, constant-power load supply, wind energy systems, efficient lighting, digital control implementation, multiphase converters, and energy harvesting. The selected examples developed by recognized specialists are illustrated by means of detailed simulations and experiments to help the reader to understand the theoretical approach in each case considered in the book.

output regulation --- state feedback --- sliding mode control --- DC-DC power converter --- DC-DC converters --- boost converter --- constant power load (CPL) --- fixed switching frequency --- sliding-mode control --- inrush current mitigation --- Induction Electrodeless Fluorescent Lamps (IEFL) --- High-Intensity Discharge Lamps (HID) --- loss-free resistor (LFR) --- two-loop digital control --- buck converter --- input-output linearization --- PWM --- sliding mode --- DC-DC converter --- multiphase converter --- disturbance observer --- electric vehicles --- power-hardware-in-the-loop --- renewable energy systems --- fast dynamic response --- wind energy conversion system --- series-series-compensated wireless power transfer system --- energy harvesting --- isolated SEPIC converter --- high power factor rectifier --- isolated PFC rectifier --- bridgeless rectifier --- DC distribution bus --- microinverter --- sliding mode control (SMC), self-oscillating system --- two cascaded-boosts converters --- decision making --- design concept --- doubly-fed induction generator --- grid-side converter --- harmonic distortion --- multi-objective optimisation --- second-order sliding-mode control --- tuning --- unbalanced voltage --- wind power generation --- harvesting --- inductive transducer --- loss free resistor --- dc-to-dc converter --- DFIG --- adaptive-gain second-order sliding mode --- direct power control --- balanced and unbalanced grid voltage --- Lyapunov-based filter design --- constant power load --- Sliding Mode controlled power module --- zero dynamics stability --- modular multilevel converter --- Lyapunov stability --- dual boost inverter --- step-up inverter --- grid connection --- sliding mode control (SMC) --- power converter --- continuous signal generator --- equivalent control --- AC-DC power converter --- wind energy --- control --- dual-stator winding induction generator --- second order sliding mode

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It is very well known that differential equations are related with the rise of physical science in the last several decades and they are used successfully for models of real-world problems in a variety of fields from several disciplines. Additionally, difference equations represent the discrete analogues of differential equations. These types of equations started to be used intensively during the last several years for their multiple applications, particularly in complex chaotic behavior. A certain class of differential and related difference equations is represented by their respective fractional forms, which have been utilized to better describe non-local phenomena appearing in all branches of science and engineering. The purpose of this book is to present some common results given by mathematicians together with physicists, engineers, as well as other scientists, for whom differential and difference equations are valuable research tools. The reported results can be used by researchers and academics working in both pure and applied differential equations.

Research & information: general --- Mathematics & science --- dynamic equations --- time scales --- classification --- existence --- necessary and sufficient conditions --- fractional calculus --- triangular fuzzy number --- double-parametric form --- FRDTM --- fractional dynamical model of marriage --- approximate controllability --- degenerate evolution equation --- fractional Caputo derivative --- sectorial operator --- fractional symmetric Hahn integral --- fractional symmetric Hahn difference operator --- Arrhenius activation energy --- rotating disk --- Darcy–Forchheimer flow --- binary chemical reaction --- nanoparticles --- numerical solution --- fractional differential equations --- two-dimensional wavelets --- finite differences --- fractional diffusion-wave equation --- fractional derivative --- ill-posed problem --- Tikhonov regularization method --- non-linear differential equation --- cubic B-spline --- central finite difference approximations --- absolute errors --- second order differential equations --- mild solution --- non-instantaneous impulses --- Kuratowski measure of noncompactness --- Darbo fixed point --- multi-stage method --- multi-step method --- Runge–Kutta method --- backward difference formula --- stiff system --- numerical solutions --- Riemann-Liouville fractional integral --- Caputo fractional derivative --- fractional Taylor vector --- kerosene oil-based fluid --- stagnation point --- carbon nanotubes --- variable thicker surface --- thermal radiation --- differential equations --- symmetric identities --- degenerate Hermite polynomials --- complex zeros --- oscillation --- third order --- mixed neutral differential equations --- powers of stochastic Gompertz diffusion models --- powers of stochastic lognormal diffusion models --- estimation in diffusion process --- stationary distribution and ergodicity --- trend function --- application to simulated data --- n-th order linear differential equation --- two-point boundary value problem --- Green function --- linear differential equation --- exponential stability --- linear output feedback --- stabilization --- uncertain system --- nonlocal effects --- linear control system --- Hilbert space --- state feedback control --- exact controllability --- upper Bohl exponent --- dynamic equations --- time scales --- classification --- existence --- necessary and sufficient conditions --- fractional calculus --- triangular fuzzy number --- double-parametric form --- FRDTM --- fractional dynamical model of marriage --- approximate controllability --- degenerate evolution equation --- fractional Caputo derivative --- sectorial operator --- fractional symmetric Hahn integral --- fractional symmetric Hahn difference operator --- Arrhenius activation energy --- rotating disk --- Darcy–Forchheimer flow --- binary chemical reaction --- nanoparticles --- numerical solution --- fractional differential equations --- two-dimensional wavelets --- finite differences --- fractional diffusion-wave equation --- fractional derivative --- ill-posed problem --- Tikhonov regularization method --- non-linear differential equation --- cubic B-spline --- central finite difference approximations --- absolute errors --- second order differential equations --- mild solution --- non-instantaneous impulses --- Kuratowski measure of noncompactness --- Darbo fixed point --- multi-stage method --- multi-step method --- Runge–Kutta method --- backward difference formula --- stiff system --- numerical solutions --- Riemann-Liouville fractional integral --- Caputo fractional derivative --- fractional Taylor vector --- kerosene oil-based fluid --- stagnation point --- carbon nanotubes --- variable thicker surface --- thermal radiation --- differential equations --- symmetric identities --- degenerate Hermite polynomials --- complex zeros --- oscillation --- third order --- mixed neutral differential equations --- powers of stochastic Gompertz diffusion models --- powers of stochastic lognormal diffusion models --- estimation in diffusion process --- stationary distribution and ergodicity --- trend function --- application to simulated data --- n-th order linear differential equation --- two-point boundary value problem --- Green function --- linear differential equation --- exponential stability --- linear output feedback --- stabilization --- uncertain system --- nonlocal effects --- linear control system --- Hilbert space --- state feedback control --- exact controllability --- upper Bohl exponent