Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Geometry, Algebraic. --- Functions of complex variables. --- Differential equations, Linear. --- Géométrie algébrique. --- Fonctions de plusieurs variables complexes. --- Équations différentielles linéaires.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The present volume is self-contained and introduces to the treatment of linear and nonlinear (quasi-linear) abstract evolution equations by methods from the theory of strongly continuous semigroups. The theoretical part is accessible to graduate students with basic knowledge in functional analysis. Only some examples require more specialized knowledge from the spectral theory of linear, self-adjoint operators in Hilbert spaces. Particular stress is on equations of the hyperbolic type since considerably less often treated in the literature. Also, evolution equations from fundamental physics need to be compatible with the theory of special relativity and therefore are of hyperbolic type. Throughout, detailed applications are given to hyperbolic partial differential equations occurring in problems of current theoretical physics, in particular to Hermitian hyperbolic systems. This volume is thus also of interest to readers from theoretical physics.

Differential equations, Partial. --- Differential equations, Linear. --- Equations aux dérivées partielles --- Equations différentielles linéaires --- Electronic books. -- local. --- Differential equations, Partial --- Differential equations, Linear --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Linear differential equations --- Partial differential equations --- Mathematics. --- Mathematical analysis. --- Analysis (Mathematics). --- Operator theory. --- Partial differential equations. --- Analysis. --- Operator Theory. --- Partial Differential Equations. --- Functional analysis --- 517.1 Mathematical analysis --- Mathematical analysis --- Math --- Science --- Linear systems --- Global analysis (Mathematics). --- Differential equations, partial. --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Based on a streamlined presentation of the authors' successful work Linear Systems, this textbook provides an introduction to systems theory with an emphasis on control. The material presented is broad enough to give the reader a clear picture of the dynamical behavior of linear systems as well as their advantages and limitations. Fundamental results and topics essential to linear systems theory are emphasized. The emphasis is on time-invariant systems, both continuous- and discrete-time. Key features and topics: * Notes, references, exercises, and a summary and highlights section at the end of each chapter. * Comprehensive index and answers to selected exercises at the end of the book. * Necessary mathematical background material included in an appendix. * Helpful guidelines for the reader in the preface. * Three core chapters guiding the reader to an excellent understanding of the dynamical behavior of systems. * Detailed coverage of internal and external system descriptions, including state variable, impulse response and transfer function, polynomial matrix, and fractional representations. * Explanation of stability, controllability, observability, and realizations with an emphasis on fundamental results. * Detailed discussion of state-feedback, state-estimation, and eigenvalue assignment. * Emphasis on time-invariant systems, both continuous- and discrete-time. For full coverage of time-variant systems, the reader is encouraged to refer to the companion book Linear Systems, which contains more detailed descriptions and additional material, including all the proofs of the results presented here. * Solutions manual available to instructors upon adoption of the text. A Linear Systems Primer is geared towards first-year graduate and senior undergraduate students in a typical one-semester introductory course on systems and control. It may also serve as an excellent reference or self-study guide for electrical, mechanical, chemical, and aerospace engineers, applied mathematicians, and researchers working in control, communications, and signal processing. Also by the authors: Linear Systems, ISBN 978-0-8176-4434-5.

Linear systems --- Control theory --- Systèmes linéaires --- Théorie de la commande --- EPUB-LIV-FT SPRINGER-B LIVINGEN --- 512.64 --- 519.71 --- Systems, Linear --- Differential equations, Linear --- System theory --- 519.71 Control systems theory: mathematical aspects --- Control systems theory: mathematical aspects --- 512.64 Linear and multilinear algebra. Matrix theory --- Linear and multilinear algebra. Matrix theory

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book provides an introduction to the theory of linear systems and control for students in business mathematics, econometrics, computer science, and engineering. The focus is on discrete time systems, which are the most relevant in business applications, as opposed to continuous time systems, requiring less mathematical preliminaries. The subjects treated are among the central topics of deterministic linear system theory: controllability, observability, realization theory, stability and stabilization by feedback, LQ-optimal control theory. Kalman filtering and LQC-control of stochastic systems are also discussed, as are modeling, time series analysis and model specification, along with model validation.

Discrete-time systems --- Linear systems --- Mathematical models. --- DES (System analysis) --- Discrete event systems --- Sampled-data systems --- Digital control systems --- System analysis --- Linear time invariant systems --- Systems, Linear --- Differential equations, Linear --- System theory --- System theory. --- Mathematics. --- Distribution (Probability theory. --- Computer science. --- Systems Theory, Control. --- Applications of Mathematics. --- Probability Theory and Stochastic Processes. --- Computational Science and Engineering. --- Informatics --- Science --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Math --- Systems, Theory of --- Systems science --- Philosophy --- Systems theory. --- Discrete mathematics --- Applied mathematics. --- Engineering mathematics. --- Probabilities. --- Computer mathematics. --- Computer mathematics --- Electronic data processing --- Mathematics --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Engineering --- Engineering analysis --- Mathematical analysis

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Based on a streamlined presentation of the authors' successful work Linear Systems, this textbook provides an introduction to systems theory with an emphasis on control. The material presented is broad enough to give the reader a clear picture of the dynamical behavior of linear systems as well as their advantages and limitations. Fundamental results and topics essential to linear systems theory are emphasized. The emphasis is on time-invariant systems, both continuous- and discrete-time. Key features and topics: * Notes, references, exercises, and a summary and highlights section at the end of each chapter. * Comprehensive index and answers to selected exercises at the end of the book. * Necessary mathematical background material included in an appendix. * Helpful guidelines for the reader in the preface. * Three core chapters guiding the reader to an excellent understanding of the dynamical behavior of systems. * Detailed coverage of internal and external system descriptions, including state variable, impulse response and transfer function, polynomial matrix, and fractional representations. * Explanation of stability, controllability, observability, and realizations with an emphasis on fundamental results. * Detailed discussion of state-feedback, state-estimation, and eigenvalue assignment. * Emphasis on time-invariant systems, both continuous- and discrete-time. For full coverage of time-variant systems, the reader is encouraged to refer to the companion book Linear Systems, which contains more detailed descriptions and additional material, including all the proofs of the results presented here. * Solutions manual available to instructors upon adoption of the text. A Linear Systems Primer is geared towards first-year graduate and senior undergraduate students in a typical one-semester introductory course on systems and control. It may also serve as an excellent reference or self-study guide for electrical, mechanical, chemical, and aerospace engineers, applied mathematicians, and researchers working in control, communications, and signal processing. Also by the authors: Linear Systems, ISBN 978-0-8176-4434-5.

Linear systems. --- Control theory. --- Dynamics --- Machine theory --- Systems, Linear --- Differential equations, Linear --- System theory --- System theory. --- Vibration. --- Engineering mathematics. --- Control and Systems Theory. --- Control, Robotics, Mechatronics. --- Systems Theory, Control. --- Signal, Image and Speech Processing. --- Vibration, Dynamical Systems, Control. --- Mathematical and Computational Engineering. --- Engineering --- Engineering analysis --- Mathematical analysis --- Cycles --- Mechanics --- Sound --- Systems, Theory of --- Systems science --- Science --- Mathematics --- Philosophy --- Systems theory. --- Control engineering. --- Robotics. --- Mechatronics. --- Signal processing. --- Image processing. --- Speech processing systems. --- Dynamical systems. --- Dynamics. --- Applied mathematics. --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Physics --- Statics --- Computational linguistics --- Electronic systems --- Information theory --- Modulation theory --- Oral communication --- Speech --- Telecommunication --- Singing voice synthesizers --- Pictorial data processing --- Picture processing --- Processing, Image --- Imaging systems --- Optical data processing --- Processing, Signal --- Information measurement --- Signal theory (Telecommunication) --- Mechanical engineering --- Microelectronics --- Microelectromechanical systems --- Automation --- Control engineering --- Control equipment --- Control theory --- Engineering instruments --- Programmable controllers