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Book
Linear systems and signals
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ISBN: 1630816159 9781630816155 9781630816131 1630816132 Year: 2019 Publisher: Norwood, MA

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Abstract

This new resource covers a wide range of content by focusing on theorems and examples to explain key concepts of signals and linear systems theory in fewer than 300 pages. Readers will learn how to compute the impulse response of an electronic circuit, design a filter in the presence of colored noise, and use the Z transform to design a digital filter. The book covers transform theory and statespace analysis and design. Stochastic systems and signals, a topic that has become important recently with the advent of renewable energy, is also presented. The Ergodic theorem is discussed in detail, with specific, real world examples of its application to renewable power and energy systems as well as signal processing systems. The book also provides a self-contained introduction to the theory of probability. Written for the practicing engineer and the student new to the subject, this comprehensive guide includes links to literature and online resources for the reader who wants additional information. In addition to numerous worked examples, this primer includes MATLAB&#170; source code to assist readers with their projects in the field.


Book
Robust controllability of linear systems
Authors: ---
ISBN: 9781621001959 1621001954 9781621001607 1621001601 Year: 2012 Publisher: New York

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Well-posed linear systems
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ISBN: 0521825849 9780521825849 9780511543197 0511082088 9780511082085 0511081634 9780511081637 0511543190 0511298404 9780511298400 1107137802 128043113X 9786610431137 0511171315 0511197012 Year: 2005 Volume: 103 Publisher: Cambridge : Cambridge University Press,

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Many infinite-dimensional linear systems can be modelled in a Hilbert space setting. Others, such as those dealing with heat transfer or population dynamics, need to be set more generally in Banach spaces. This is the first book dealing with well-posed infinite-dimensional linear systems with an input, a state, and an output in a Hilbert or Banach space setting. It is also the first to describe the class of non-well-posed systems induced by system nodes. The author shows how standard finite-dimensional results from systems theory can be extended to these more general classes of systems, and complements them with new results which have no finite-dimensional counterpart. Much of the material presented is original, and many results have never appeared in book form before. A comprehensive bibliography rounds off this work which will be indispensable to all working in systems theory, operator theory, delay equations and partial differential equations.

Linear operators and linear systems : an analytical approach to control theory
Author:
ISBN: 9780511616693 9780521837347 9780521546195 9780511185304 0511185308 0511616694 9780511187063 0511187068 0521837340 0521546192 1316086151 9781316086155 1107370051 9781107370050 1299408842 9781299408845 0511186134 9780511186134 Year: 2004 Publisher: Cambridge : Cambridge University Press,

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Linear systems can be regarded as a causal shift-invariant operator on a Hilbert space of signals, and by doing so this book presents an introduction to the common ground between operator theory and linear systems theory. The book therefore includes material on pure mathematical topics such as Hardy spaces, closed operators, the gap metric, semigroups, shift-invariant subspaces, the commutant lifting theorem and almost-periodic functions, which would be entirely suitable for a course in functional analysis; at the same time, the book includes applications to partial differential equations, to the stability and stabilization of linear systems, to power signal spaces (including some recent material not previously available in books), and to delay systems, treated from an input/output point of view. Suitable for students of analysis, this book also acts as an introduction to a mathematical approach to systems and control for graduate students in departments of applied mathematics or engineering.


Book
Model-Based Control of Networked Systems
Authors: --- ---
ISBN: 3319078038 331907802X 1322136963 Year: 2014 Publisher: Cham : Springer International Publishing : Imprint: Birkhäuser,

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This monograph introduces a class of networked control systems (NCS) called model-based networked control systems (MB-NCS) and presents various architectures and control strategies designed to improve the performance of NCS. The overall performance of NCS considers the appropriate use of network resources, particularly network bandwidth, in conjunction with the desired response of the system being controlled.   The book begins with a detailed description of the basic MB-NCS architecture that provides stability conditions in terms of state feedback updates . It also covers typical problems in NCS such as network delays, network scheduling, and data quantization, as well as more general control problems such as output feedback control, nonlinear systems stabilization, and tracking control.   Key features and topics include: Time-triggered and event-triggered feedback updates Stabilization of uncertain systems subject to time delays, quantization, and extended absence of feedback Optimal control analysis and design of model-based networked systems Parameter identification and adaptive stabilization of systems controlled over networks The MB-NCS approach to decentralized control of distributed systems   Model-Based Control of Networked Systems will appeal to researchers, practitioners, and graduate students interested in the control of networked systems, distributed systems, and systems with limited feedback.

Positive linear systems : theory and applications
Authors: ---
ISBN: 0471384569 9780471384564 Year: 2000 Volume: *114 Publisher: New York Wiley

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Linear dynamical systems
Authors: ---
ISBN: 1282289713 9786612289712 0080956440 0121634515 9780121634513 9780080956442 9781282289710 6612289716 Year: 1987 Volume: v. 135 Publisher: Boston Academic Press

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Linear dynamical systems


Book
Matrix mathematics : theory, facts, and formulas
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ISBN: 9780691132877 9780691140391 0691132879 0691140391 Year: 2009 Publisher: Princeton, N.J. : Princeton University Press,

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Each chapter in this book describes relevant background theory followed by specialized results. Hundreds of identitites, inequalities, and matrix facts are stated clearly with cross references, citations to the literature, and illuminating remarks.


Book
Matrix Mathematics : Theory, Facts, and Formulas - Second Edition
Author:
ISBN: 1283256010 9786613256010 1400833345 9781400833344 9781283256018 9780691132877 0691132879 9780691140391 0691140391 6613256013 Year: 2009 Publisher: Princeton, NJ : Princeton University Press,

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When first published in 2005, Matrix Mathematics quickly became the essential reference book for users of matrices in all branches of engineering, science, and applied mathematics. In this fully updated and expanded edition, the author brings together the latest results on matrix theory to make this the most complete, current, and easy-to-use book on matrices. Each chapter describes relevant background theory followed by specialized results. Hundreds of identities, inequalities, and matrix facts are stated clearly and rigorously with cross references, citations to the literature, and illuminating remarks. Beginning with preliminaries on sets, functions, and relations,Matrix Mathematics covers all of the major topics in matrix theory, including matrix transformations; polynomial matrices; matrix decompositions; generalized inverses; Kronecker and Schur algebra; positive-semidefinite matrices; vector and matrix norms; the matrix exponential and stability theory; and linear systems and control theory. Also included are a detailed list of symbols, a summary of notation and conventions, an extensive bibliography and author index with page references, and an exhaustive subject index. This significantly expanded edition of Matrix Mathematics features a wealth of new material on graphs, scalar identities and inequalities, alternative partial orderings, matrix pencils, finite groups, zeros of multivariable transfer functions, roots of polynomials, convex functions, and matrix norms. Covers hundreds of important and useful results on matrix theory, many never before available in any book Provides a list of symbols and a summary of conventions for easy use Includes an extensive collection of scalar identities and inequalities Features a detailed bibliography and author index with page references Includes an exhaustive subject index with cross-referencing


Book
State observers for linear systems with uncertainty
Authors: ---
ISBN: 1282345419 9786612345418 3110218135 9783110218138 3110218127 9783110218121 Year: 2009 Publisher: Berlin New York W. de Gruyter

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This book presents the basic concepts and recent developments of linear control problems with perturbations. The presentation concerns both continuous and discrete dynamical systems. It is self-contained and illustrated by numerous examples. From the contents: Notion of state observers Observability Observers of full-phase vectors for fully determined linear systems Functional observers for fully determined linear systems Asymptotic observers for linear systems with uncertainty Observers for bilinear and discrete systems

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