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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.

System theory --- Linear systems --- Linear systems. --- System theory. --- Systems, Theory of --- Systems science --- Science --- Systems, Linear --- Differential equations, Linear --- Philosophy

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Human Systems Management is an important work that integrates knowledge, management and systems into a unified world of thinking and action in business, decision-making and economics. It presents a modern synthesis of the fields of knowledge management, systems science and human organization. A biological rather than mechanistic perspective pervades the text. New and original ideas and approaches are presented with the simplicity and clarity typical of the well-known author.

Knowledge management. --- Management --- Business & Economics --- Management Theory --- System theory. --- Organizational effectiveness. --- Systems, Theory of --- Systems science --- Management of knowledge assets --- Science --- Organization --- Information technology --- Intellectual capital --- Organizational learning --- Philosophy

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In recent decades, a comprehensive new framework for the theory and design of control systems has emerged. This framework is based on a radically different foundation from the conventional approach. It treats a range of significant and ubiquitous design problems, including those of critical systems, more effectively than the conventional framework. Control Systems Design brings together contributions from the originators of the new framework in which they explain, expand and revise their research work in the field with more recent and entirely novel material. The book also demonstrates how the conventional design framework can be made more effective by the use of the principle of inequalities. It is divided into four parts: • basic principles, including those of matching and inequalities with adjustments for robust matching and matching based on H-infinity methods and linear matrix inequalities; • computational methods, including matching conditions for transient inputs and design of a sampled-data control system; • search methods including search with simulated annealing, genetic algorithms and evaluation of the node array method; • case studies, including applications in distillation, benchmarking critical control of magnetic levitation systems and the use of the principle of matching in cruise control. This book will be of great interest to academics and institutional researchers in control system design and to those studying for higher degrees in this area.

Automatic control. --- Control theory. --- Dynamics --- Machine theory --- Control engineering --- Control equipment --- Control theory --- Engineering instruments --- Automation --- Programmable controllers --- Systems theory. --- Engineering design. --- Control, Robotics, Mechatronics. --- Systems Theory, Control. --- Engineering Design. --- System theory. --- Design, Engineering --- Engineering --- Industrial design --- Strains and stresses --- Systems, Theory of --- Systems science --- Science --- Design --- Philosophy --- Control engineering. --- Robotics. --- Mechatronics. --- Mechanical engineering --- Microelectronics --- Microelectromechanical systems

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This book presents the mathematical foundations of systems theory in a self-contained, comprehensive, detailed and mathematically rigorous way. This first volume is devoted to the analysis of dynamical systems with emphasis on problems of uncertainty, whereas the second volume will be devoted to control. It combines features of a detailed introductory textbook with that of a reference source. The book contains many examples and figures illustrating the text which help to bring out the intuitive ideas behind the mathematical constructions. It is accessible to mathematics students after two years of mathematics and graduate engineering students specializing in mathematical systems theory. The reader is gradually brought to the frontiers of research in stability and robustness analysis. As such the book will be useful for established researchers in systems theory as well as mathematicians and engineers interested in the mathematical foundations of systems and control. From the reviews: "This textbook on finite-dimensional time-invariant linear systems theory ... links up with the extensive research contributions of the authors, geared towards developing a spectral theory for uncertain systems. ... is bound to become a standard textbook and reference in its area." M. Kawski, Mathematical Reviews, 2005 "... the content ranges from rigorous proofs of basic results in linear systems theory to new results on the research frontier. In that sense, the book also serves as a valuable research reference." W.J. Satzer, MathDL, May, 2005 "I heartily recommend this book as a remarkably complete reference for researchers doing theoretical work involving linear systems. The book is a unique compilation of the mathematics underlying the field, and I look forward to seeing the authors' treatment of synthesis problems in the second volume." Brian Ingalls, IEEE Control Systems Magazine, April 2006 "MST-1 can be properly deemed an essential addition to the personal library of any researcher in systems theory. ...the authors indicate that MST-I was developed over a twenty-year period and the enormous effort that they have invested in writing the book is readily apoparent. MST-I is a superb exposition of advanced aspects of linear systems theory and is highly recommended for graduate students and researchers who have some prior background in control-systems and who have specific interests in problems of stability, robustness, and uncertainty. If the authors are able to maintain their high standards of exposition through the promised second volume, then MST-I and -II are destined to be placed among the pre-eminent authoritative references for the area of controlled dynamical systems." K.A. Grasse, IEEE Trans. Automatic Control 51, April 2006 "... This book is one of the best books on the subject." A.O. Ignatyev, Zentralblatt MATH 1074 :l.

Differentiable dynamical systems. --- Mathematical optimization. --- System theory. --- Systems, Theory of --- Systems science --- Science --- Philosophy --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics

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Advance Praise for Fourier Series in Control Theory: It has been known since 1967 that a wide variety of sets of complex exponential functions play an important role in the control theory of systems governed by partial differential equations. Up until now, the relevant literature has been scattered among various journal articles, a survey paper by myself in SIAM Review in 1978, and the book, Families of Exponentials, by S. Avdonin and S. Ivanov (1995). Fourier Series in Control Theory successfully gathers all of the available theory of these "nonharmonic Fourier series" in one place, combining published results with new results, to create a unique source of such material for practicing applied mathematicians, engineers, and other scientific professionals. - David Russell, Virginia Polytechnic Institute and State University This monograph will be of interest to experts and researchers, as well as graduate students in such courses as control series and harmonic analysis. Starting with an overview of the problems of observability, controllability, and stabilization of linear systems and their interconnections, the text contains complete proofs along with a short, simplified, presentation of some properties of Bessel functions for the convenience of the reader. Only basic knowledge of functional analysis is required.

Control theory. --- Fourier series. --- Fourier integrals --- Series, Fourier --- Series, Trigonometric --- Trigonometric series --- Calculus --- Fourier analysis --- Harmonic analysis --- Harmonic functions --- Dynamics --- Machine theory --- Systems theory. --- Mathematical optimization. --- Systems Theory, Control. --- Calculus of Variations and Optimal Control; Optimization. --- System theory. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Systems, Theory of --- Systems science --- Science --- Philosophy --- Calculus of variations. --- Isoperimetrical problems --- Variations, Calculus of