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"The goal of this book is to teach the reader to measure and model linear dynamic systems (in the presence of nonlinear distortions) from a practical point of view"-- "This book enables readers to understand system identification and linear system modeling through 100 practical exercises without requiring complex theoretical knowledge. The contents encompass state-of-the-art system identification methods, with both time and frequency domain system identification methods covered, including the pros and cons of each. Each chapter features MATLAB exercises, discussions of the exercises, accompanying MATLAB downloads, and larger projects that serve as potential assignments in this learn-by-doing resource"--
System identification --- Linear systems --- Mathematical models --- Quality control --- Systems, Linear --- Differential equations, Linear --- System theory --- Identification, System --- System analysis --- Quality control. --- TECHNOLOGY & ENGINEERING --- Quality Control. --- Technology & engineering --- Mathematical models&delete& --- System identification - Problems, exercises, etc. --- Linear systems - Mathematical models - Quality control
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Robust control --- Automatic control --- Control theory --- Linear systems --- Commande robuste --- Commande automatique --- Théorie de la commande --- Systèmes linéaires --- Mathematical models --- Modèles mathématiques --- Automatic control. --- Control theory. --- Electronic books. -- local. --- Linear systems -- Mathematical models. --- Mechanical Engineering - General --- Mechanical Engineering --- Engineering & Applied Sciences --- Mathematical models. --- Control engineering --- Control equipment --- Systems, Linear --- Engineering. --- System theory. --- Vibration. --- Dynamical systems. --- Dynamics. --- Automotive engineering. --- Control engineering. --- Robotics. --- Mechatronics. --- Control. --- Vibration, Dynamical Systems, Control. --- Systems Theory, Control. --- Control, Robotics, Mechatronics. --- Automotive Engineering. --- Differential equations, Linear --- System theory --- Dynamics --- Machine theory --- Engineering instruments --- Automation --- Programmable controllers --- Control and Systems Theory. --- Construction --- Industrial arts --- Technology --- Cycles --- Mechanics --- Sound --- Systems, Theory of --- Systems science --- Science --- Philosophy --- Systems theory. --- Mechanical engineering --- Microelectronics --- Microelectromechanical systems --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Physics --- Statics
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In this book the author analyzes and compares four closely related problems, namely linear programming, integer programming, linear integration, linear summation (or counting). The focus is on duality and the approach is rather novel as it puts integer programming in perspective with three associated problems, and permits one to define discrete analogues of well-known continuous duality concepts, and the rationale behind them. Also, the approach highlights the difference between the discrete and continuous cases. Central in the analysis are the continuous and discrete Brion and Vergne's formulae for linear integration and counting. This approach provides some new insights on duality concepts for integer programs, and also permits to retrieve and shed new light on some well-known results. For instance, Gomory relaxations and the abstract superadditive dual of integer programs are re-interpreted in this algebraic approach. This book will serve graduate students and researchers in applied mathematics, optimization, operations research and computer science. Due to the substantial practical importance of some presented problems, researchers in other areas will also find this book useful.
Integer programming. --- Linear programming. --- Linear systems --Mathematical models. --- Mathematical optimization. --- Neoclassical school of economics. --- Operations research --Mathematical models. --- Rothschild, Kurt W. --(Kurt Wilhelm), --1914-. --- Steindl, Josef, --1912-1993. --- Linear programming --- Integer programming --- Mathematical optimization --- Linear systems --- Operations research --- Civil & Environmental Engineering --- Operations Research --- Engineering & Applied Sciences --- Business & Economics --- Economic Theory --- Mathematical models --- Mathematical models. --- Operational analysis --- Operational research --- Systems, Linear --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- 631.11 <213> --- 631.445.5 --- 631.5 --- 631.5 Agricultural operations --- Agricultural operations --- 631.445.5 Arid soils. Desert soils --- Arid soils. Desert soils --- 631.11 <213> Farms, farm properties and farming systems--Warme, tropische en subtropische zones --- Farms, farm properties and farming systems--Warme, tropische en subtropische zones --- Mathematics. --- Computer science --- Convex geometry. --- Discrete geometry. --- Operations research. --- Management science. --- Operations Research, Management Science. --- Optimization. --- Discrete Mathematics in Computer Science. --- Convex and Discrete Geometry. --- Arid regions agriculture --- Dry farming --- Dryland farming --- Farming, Dry --- Rainfed agriculture --- Tillage --- Dryland agriculture --- Agriculture --- Crop zones --- Desert reclamation --- Pedology --- Mathematical analysis --- Maxima and minima --- Simulation methods --- System analysis --- Quantitative business analysis --- Management --- Problem solving --- Statistical decision --- Industrial engineering --- Management science --- Research --- System theory --- Geometry --- Combinatorial geometry --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Math --- Science --- Mathematics --- Programming (Mathematics) --- Production scheduling --- Differential equations, Linear --- Basic Sciences. Agriculture --- Agricultural Systems. --- Computational complexity. --- Discrete groups. --- Groups, Discrete --- Infinite groups --- Complexity, Computational --- Machine theory --- Computer science—Mathematics. --- Convex geometry . --- Rothschild, Kurt W. --- Steindl, Josef, --- Rothschild, Kurt Wilhelm --- Rothschild, K. W.
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In this monograph the authors develop a theory for the robust control of discrete-time stochastic systems, subjected to both independent random perturbations and to Markov chains. Such systems are widely used to provide mathematical models for real processes in fields such as aerospace engineering, communications, manufacturing, finance and economy. The theory is a continuation of the authors’ work presented in their previous book entitled "Mathematical Methods in Robust Control of Linear Stochastic Systems" published by Springer in 2006. Key features: - Provides a common unifying framework for discrete-time stochastic systems corrupted with both independent random perturbations and with Markovian jumps which are usually treated separately in the control literature - Covers preliminary material on probability theory, independent random variables, conditional expectation and Markov chains - Proposes new numerical algorithms to solve coupled matrix algebraic Riccati equations - Leads the reader in a natural way to the original results through a systematic presentation - Presents new theoretical results with detailed numerical examples The monograph is geared to researchers and graduate students in advanced control engineering, applied mathematics, mathematical systems theory and finance. It is also accessible to undergraduate students with a fundamental knowledge in the theory of stochastic systems.
Discrete-time systems -- Mathematical models. --- Linear systems -- Mathematical models. --- Robust control -- Mathematical models. --- Stochastic systems -- Mathematical models. --- Robust control --- Discrete-time systems --- Linear systems --- Stochastic systems --- Mathematical models. --- Systems, Stochastic --- Systems, Linear --- DES (System analysis) --- Discrete event systems --- Sampled-data systems --- Robustness (Control systems) --- Mathematics. --- Applied mathematics. --- Engineering mathematics. --- System theory. --- Numerical analysis. --- Mathematical optimization. --- Probabilities. --- Robotics. --- Automation. --- Applications of Mathematics. --- Robotics and Automation. --- Probability Theory and Stochastic Processes. --- Systems Theory, Control. --- Optimization. --- Numerical Analysis. --- Stochastic processes --- System analysis --- Differential equations, Linear --- System theory --- Digital control systems --- Linear time invariant systems --- Automatic control --- Distribution (Probability theory. --- Systems theory. --- Mathematical analysis --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Maxima and minima --- Operations research --- Simulation methods --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Math --- Science --- Automatic factories --- Automatic production --- Computer control --- Engineering cybernetics --- Factories --- Industrial engineering --- Mechanization --- Assembly-line methods --- Automatic machinery --- CAD/CAM systems --- Robotics --- Automation --- Machine theory --- Systems, Theory of --- Systems science --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Engineering --- Engineering analysis --- Philosophy
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