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Book
Dynamical Models of Biology and Medicine
Authors: --- --- ---
ISBN: 3039212184 3039212176 Year: 2019 Publisher: MDPI - Multidisciplinary Digital Publishing Institute

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Abstract

Mathematical and computational modeling approaches in biological and medical research are experiencing rapid growth globally. This Special Issue Book intends to scratch the surface of this exciting phenomenon. The subject areas covered involve general mathematical methods and their applications in biology and medicine, with an emphasis on work related to mathematical and computational modeling of the complex dynamics observed in biological and medical research. Fourteen rigorously reviewed papers were included in this Special Issue. These papers cover several timely topics relating to classical population biology, fundamental biology, and modern medicine. While the authors of these papers dealt with very different modeling questions, they were all motivated by specific applications in biology and medicine and employed innovative mathematical and computational methods to study the complex dynamics of their models. We hope that these papers detail case studies that will inspire many additional mathematical modeling efforts in biology and medicine

Keywords

predator-prey model --- n/a --- uncertainty quantification --- identification of DNA-binding proteins --- chemostat --- numerical characterization --- differential equations --- uniform persistence --- spotting --- 2-combination --- wildfire --- chronic myeloid leukemia --- combination therapy --- liquid-solid-porous media seepage coupling --- dynamic model --- obesity --- epidermis --- articular cartilage --- androgen deprivation therapy --- quorum sensing --- mechano-electrochemical model --- bifurcations --- bacterial competition --- global stability --- cartilage degeneration --- flocculation --- dynamical system --- transport equations --- bootstrapping --- stationary distribution --- algae growth models --- hemodynamic model --- delay --- Raphidocelis subcapitata --- cartilage loading --- Daphnia magna --- cell-based vector --- switched harvest --- hepatitis B --- rich dynamics --- spotting distribution --- asymptotic theory --- tyrosine kinase inhibitors --- phylogenetic analysis --- immune response --- microcirculation load --- graphical representation --- intraguild predation --- numerical simulation --- bacterial inflammation --- data fitting --- immunomodulatory therapies --- drug therapy --- delay differential equations (DDE) --- global asymptotic stability --- model comparison tests --- optimal control --- generalized pseudo amino acid composition --- random perturbations --- limit cycle --- prostate cancer --- mathematical model --- mathematical modeling --- persistence --- equilibrium points


Book
Modern Anti-windup Synthesis
Authors: ---
ISBN: 1283129280 9786613129284 1400839025 9781400839025 9780691147321 0691147329 Year: 2011 Publisher: Princeton, NJ

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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"--

Keywords

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.


Book
Delay-adaptive linear control
Authors: ---
ISBN: 0691203318 Year: 2021 Publisher: Princeton : Princeton University Press,

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Actuator and sensor delays are among the most common dynamic phenomena in engineering practice, and when disregarded, they render controlled systems unstable. Over the past sixty years, predictor feedback has been a key tool for compensating such delays, but conventional predictor feedback algorithms assume that the delays and other parameters of a given system are known. When incorrect parameter values are used in the predictor, the resulting controller may be as destabilizing as without the delay compensation. This book develops adaptive predictor feedback algorithms equipped with online estimators of unknown delays and other parameters.

Keywords

Adaptive control systems --- Time delay systems --- Linear control systems --- Linear time invariant systems --- Differential equations, Linear. --- Engineering mathematics. --- Engineering --- Engineering analysis --- Mathematical analysis --- Linear differential equations --- Linear systems --- Systems, Linear time invariant --- Discrete-time systems --- Automatic control --- Time delay control --- Time delay control systems --- Time delay controllers --- Time-delayed systems --- Feedback control systems --- Process control --- Self-adaptive control systems --- Artificial intelligence --- Self-organizing systems --- Mathematical models. --- Mathematics --- 3D printing. --- Multi-input systems. --- ODE delay notation. --- adaptive control of uncertain systems. --- aerospace engineering. --- backstepping transformation. --- biomedical engineering. --- chemical engineers. --- civil engineering. --- combustion systems. --- computer engineers. --- control designs. --- control synthesis techniques. --- control theorists. --- delay-related challenges. --- delayed telecommunication systems. --- delays in traffic flow dynamics. --- distinct discrete input delays. --- distributed input delays. --- electrical engineers. --- feedback of linear systems. --- finite-dimensional systems. --- global stability of nonlinear infinite-dimensional systems. --- mechanical engineers, aerospace engineers. --- multivariable multidelay systems. --- neuromuscular electrical stimulation. --- nonlinear infinite-dimensional stability study. --- process dynamic researchers. --- robotic manipulators. --- structural engineering. --- supply chains. --- time-delay systems. --- uncertainty combinations. --- unmanned aerial vehicles. --- unmeasured states.


Book
Control and Nonlinear Dynamics on Energy Conversion Systems
Authors: ---
ISBN: 3039211110 3039211102 Year: 2019 Publisher: MDPI - Multidisciplinary Digital Publishing Institute

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The ever-increasing need for higher efficiency, smaller size, and lower cost make the analysis, understanding, and design of energy conversion systems extremely important, interesting, and even imperative. One of the most neglected features in the study of such systems is the effect of the inherent nonlinearities on the stability of the system. Due to these nonlinearities, these devices may exhibit undesirable and complex dynamics, which are the focus of many researchers. Even though a lot of research has taken place in this area during the last 20 years, it is still an active research topic for mainstream power engineers. This research has demonstrated that these systems can become unstable with a direct result in increased losses, extra subharmonics, and even uncontrollability/unobservability. The detailed study of these systems can help in the design of smaller, lighter, and less expensive converters that are particularly important in emerging areas of research like electric vehicles, smart grids, renewable energy sources, and others. The aim of this Special Issue is to cover control and nonlinear aspects of instabilities in different energy conversion systems: theoretical, analysis modelling, and practical solutions for such emerging applications. In this Special Issue, we present novel research works in different areas of the control and nonlinear dynamics of energy conversion systems.

Keywords

multi-clearance --- neural network --- zero average dynamics --- Cable3D --- variable bus voltage MG --- explosion-magnetic generator --- quadratic boost --- matrix norm --- coordinated control system --- permanent magnet synchronous motor (PMSM) --- photovoltaic (PV) --- power conversion --- capacitance current pulse train control --- air gap eccentricity --- high step-up voltage gain --- voltage ripple --- offset-free --- goal representation heuristic dynamic programming (GrHDP) --- current mode control --- sliding mode observer (SMO) --- multi-model predictive control --- combined heat and power unit --- discontinuous conduction mode (DCM) --- current-pulse formation --- sliding mode control --- single artificial neuron goal representation heuristic dynamic programming (SAN-GrHDP) --- subharmonic oscillations --- DC micro grid --- supply air temperature --- air-handling unit (AHU) --- vibration characteristics --- magnetic saturation --- slope compensation --- fixed-point inducting control --- the load of suspension point in the z direction --- variable switching frequency DC-DC converters --- droop control --- Helmholtz number --- plasma accelerator --- contraction analysis --- sliding control --- bifurcations in control parameter --- disturbance observer --- DC motor --- multiphysics --- virtual impedance --- pulverizing system --- ultrahigh voltage conversion ratio --- corrugated pipe --- DC-DC converters --- maximum power point tracking (MPPT) --- dynamic model --- nonlinear dynamics --- new step-up converter --- micro-grid --- global stability --- extended back electromotive force (EEMF) --- small-signal model --- electromagnetic vibration --- nonlinear dynamic model --- excited modes --- data-driven --- rigid body rotation --- position sensorless --- prediction --- centralized vs. decentralized control --- inferential control --- boost-flyback converter --- calculation method --- switched reluctance generator --- monodromy matrix --- bridgeless converter --- decoupling control --- distributed architecture --- wave --- buck converter --- soft sensor --- model–plant mismatches --- whistling noise --- efficiency optimization --- steel catenary riser --- moving horizon estimation --- single artificial neuron (SAN) --- space mechanism --- two-stage bypass --- electrical machine --- harmonic suppression --- local vs. global optimization --- performance recovery --- reinforcement learning (RL) --- adaptive dynamic programming (ADP) --- overvoltage --- planetary gears --- maximum power point tracking --- DC-DC buck converter --- power quality --- average-current mode control --- feedback coefficient --- power factor correction (PFC) --- capacitance current --- predictive control --- rotor dynamics

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