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Cyber-physical system (CPS) innovations, in conjunction with their sibling computational and technological advancements, have positively impacted our society, leading to the establishment of new horizons of service excellence in a variety of applicational fields. With the rapid increase in the application of CPSs in safety-critical infrastructures, their safety and security are the top priorities of next-generation designs. The extent of potential consequences of CPS insecurity is large enough to ensure that CPS security is one of the core elements of the CPS research agenda. Faults, failures, and cyber-physical attacks lead to variations in the dynamics of CPSs and cause the instability and malfunction of normal operations. This reprint discusses the existing vulnerabilities and focuses on detection, prevention, and compensation techniques to improve the security of safety-critical systems.

Technology: general issues --- History of engineering & technology --- smart grids --- device authentication --- situational awareness --- home area networks --- time-delay switch attack --- networked control systems --- secure control design --- Lyapunov theory --- attack estimation --- hardware-in-the-loop testing --- machine learning --- industrial control systems --- anomaly detection --- fault detection --- intrusion detection system --- blockchain --- security --- privacy --- financial transactions --- transportation systems --- autonomous vehicles --- power system resilience --- disaster --- Federated Learning --- edge intelligence --- resilience management systems --- resource-limitations --- demand response --- remedial testing --- greybox fuzzing --- vulnerability detection --- enhanced security --- traffic microsimulation tool --- cooperative automated driving systems --- vehicle powertrain --- safety --- road capacity --- contested environments --- anomaly isolation --- artificial neural networks --- Cyber Physical System --- out-of-bounds --- vulnerable detection --- patch --- inverter-based energy resources --- islanded microgrids --- resilient control design --- secondary control --- false data injection

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Newton foresaw the limitations of geometry’s description of planetary behavior and developed fluxions (differentials) as the new language for celestial mechanics and as the way to implement his laws of mechanics. Two hundred years later Mandelbrot introduced the notion of fractals into the scientific lexicon of geometry, dynamics, and statistics and in so doing suggested ways to see beyond the limitations of Newton’s laws. Mandelbrot’s mathematical essays suggest how fractals may lead to the understanding of turbulence, viscoelasticity, and ultimately to end of dominance of the Newton’s macroscopic world view.Fractional Calculus and the Future of Science examines the nexus of these two game-changing contributions to our scientific understanding of the world. It addresses how non-integer differential equations replace Newton’s laws to describe the many guises of complexity, most of which lay beyond Newton’s experience, and many had even eluded Mandelbrot’s powerful intuition. The book’s authors look behind the mathematics and examine what must be true about a phenomenon’s behavior to justify the replacement of an integer-order with a noninteger-order (fractional) derivative. This window into the future of specific science disciplines using the fractional calculus lens suggests how what is seen entails a difference in scientific thinking and understanding.

Research & information: general --- Mathematics & science --- fractional diffusion --- continuous time random walks --- reaction-diffusion equations --- reaction kinetics --- multidimensional scaling --- fractals --- fractional calculus --- financial indices --- entropy --- Dow Jones --- complex systems --- Skellam process --- subordination --- Lévy measure --- Poisson process of order k --- running average --- complexity --- chaos --- logistic differential equation --- liouville-caputo fractional derivative --- local discontinuous Galerkin methods --- stability estimate --- Mittag-Leffler functions --- Wright functions --- fractional relaxation --- diffusion-wave equation --- Laplace and Fourier transform --- fractional Poisson process complex systems --- distributed-order operators --- viscoelasticity --- transport processes --- control theory --- fractional order PID control --- PMSM --- frequency-domain control design --- optimal tuning --- Gaussian watermarks --- statistical assessment --- false positive rate --- semi-fragile watermarking system --- fractional dynamics --- fractional-order thinking --- heavytailedness --- big data --- machine learning --- variability --- diversity --- telegrapher's equations --- fractional telegrapher's equation --- continuous time random walk --- transport problems --- fractional conservations laws --- variable fractional model --- turbulent flows --- fractional PINN --- physics-informed learning

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"This book contains a collection of modern anti-windup algorithms. It is aimed at practicing control engineers as well as graduate students. The reader will learn the objectives and terminology of the anti-windup problem, will be exposed to the mathematics behind anti-windup synthesis, and will gain exposure to a variety of anti-windup algorithms, which are illustrated through examples"--

Automatic control --- Linear control systems. --- Actuators. --- Mathematical models. --- Euler-Lagrange system. --- F8 aircraft. --- MIMO. --- SISO. --- algebraic loop. --- anti-windup algorithm. --- anti-windup augmentation. --- anti-windup compensator. --- anti-windup construction. --- anti-windup design. --- anti-windup filter. --- anti-windup synthesis. --- anti-windup. --- bumpless authority transfer. --- closed loop. --- compensation. --- constrained closed loop. --- controller. --- damped mass-spring. --- dead-time plant. --- direct control design. --- direct linear anti-windup. --- dynamic direct linear anti-windup. --- exponentially stable plant. --- exponentially unstable plant. --- external stability. --- feedback algorithm. --- feedback loop. --- feedback signal. --- global performance. --- global stability. --- hardware redundancy. --- input saturation. --- input. --- inputЯutput stability. --- internal stability. --- internal state. --- linear controller. --- linear injection. --- linear matrix inequalities. --- linear model recovery anti-windup. --- linear system. --- measurement governor. --- model predictive control. --- model recovery anti-windup. --- multicontroller scheme. --- nested saturation. --- non-exponentially unstable plant. --- nonlinear gain. --- nonlinear injection. --- nonlinear plant. --- nonlinear synthesis technique. --- nonlinear system. --- numerical algorithm. --- quadratic function. --- rank-deficient matrices. --- reduced-order compensator. --- reference governor. --- regional stability. --- reliable control. --- saturated closed loop. --- saturated closed-loop system. --- saturation nonlinearity. --- saturation. --- scheduling. --- servo-positioning system. --- small signal preservation. --- stability. --- stabilizer. --- state-space approach. --- stateгpace representation. --- static linear anti-windup. --- switching. --- unconstrained closed loop. --- unconstrained closed-loop system. --- unconstrained controller. --- unconstrained feedback system. --- unconstrained plant. --- unconstrained response recovery. --- unconstrained response. --- windup.

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Modern complex large-scale dynamical systems exist in virtually every aspect of science and engineering, and are associated with a wide variety of physical, technological, environmental, and social phenomena, including aerospace, power, communications, and network systems, to name just a few. This book develops a general stability analysis and control design framework for nonlinear large-scale interconnected dynamical systems, and presents the most complete treatment on vector Lyapunov function methods, vector dissipativity theory, and decentralized control architectures. Large-scale dynamical systems are strongly interconnected and consist of interacting subsystems exchanging matter, energy, or information with the environment. The sheer size, or dimensionality, of these systems necessitates decentralized analysis and control system synthesis methods for their analysis and design. Written in a theorem-proof format with examples to illustrate new concepts, this book addresses continuous-time, discrete-time, and hybrid large-scale systems. It develops finite-time stability and finite-time decentralized stabilization, thermodynamic modeling, maximum entropy control, and energy-based decentralized control. This book will interest applied mathematicians, dynamical systems theorists, control theorists, and engineers, and anyone seeking a fundamental and comprehensive understanding of large-scale interconnected dynamical systems and control.

Lyapunov stability --- Energy dissipation --- Dynamics --- Large scale systems --- Information Technology --- General and Others --- Lyapunov stability. --- Energy dissipation. --- Dynamics. --- Large scale systems. --- Systems, Large scale --- Dynamical systems --- Kinetics --- Liapunov stability --- Ljapunov stability --- Degradation, Energy --- Dissipation (Physics) --- Energy degradation --- Energy losses --- Losses, Energy --- Engineering systems --- System analysis --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Control theory --- Stability --- Clausius-type inequality. --- KalmanЙakubovichАopov conditions. --- KalmanЙakubovichАopov equations. --- KrasovskiiЌaSalle theorem. --- asymptotic stabilizability. --- combustion processes. --- comparison system. --- compartmental dynamical system theory. --- compartmental dynamical system. --- control Lyapunov function. --- control design. --- control signal. --- control vector Lyapunov function. --- convergence. --- coordination control. --- decentralized affine. --- decentralized control. --- decentralized controller. --- decentralized finite-time stabilizer. --- discrete-time dynamical system. --- dissipativity theory. --- dynamical system. --- ectropy. --- energy conservation. --- energy dissipation. --- energy equipartition. --- energy flow. --- entropy. --- feedback control law. --- feedback interconnection stability. --- feedback stabilizer. --- finite-time stability. --- finite-time stabilization. --- gain margin. --- hybrid closed-loop system. --- hybrid decentralized controller. --- hybrid dynamic controller. --- hybrid finite-time stabilizing controller. --- hybrid vector comparison system. --- hybrid vector dissipation inequality. --- impulsive differential equations. --- impulsive dynamical system. --- interconnected dynamical system. --- large-scale dynamical system. --- law of thermodynamics. --- linear energy exchange. --- maximum entropy control. --- multiagent interconnected system. --- multiagent systems. --- multivehicle coordinated motion control. --- nonconservation of ectropy. --- nonconservation of entropy. --- nonlinear dynamical system. --- optimality. --- plant energy. --- scalar Lyapunov function. --- sector margin. --- semistable dissipation matrix. --- stability analysis. --- stability theory. --- stability. --- state space. --- subsystem decomposition. --- subsystem energy. --- thermoacoustic instabilities. --- thermodynamic modeling. --- time-invariant set. --- time-varying set. --- vector Lyapunov function. --- vector available storage. --- vector comparison system. --- vector dissipation inequality. --- vector dissipative system. --- vector dissipativity theory. --- vector dissipativity. --- vector field. --- vector hybrid supply rate. --- vector lossless system. --- vector required supply. --- vector storage function. --- vector supply rate.