System Theory A Modern Approach Volume 1
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Author | : Henri Bourles |
Publisher | : John Wiley & Sons |
Total Pages | : 324 |
Release | : 2024-07-11 |
Genre | : Mathematics |
ISBN | : 1786309858 |
The theory of dynamic systems is addressed in this book in accordance with the “modern” approach, heir to algebraic analysis, which has been implemented since the last decade of the 20th century. After a reminder of the evolution of the representation of systems based on transfer functions or matrices, the duality of controllability and observability is revisited, and new results are produced concerning time-varying discrete-time systems. To complete and improve the existing analyses, the poles and zeros of linear systems and their interconnections are presented in a new way, as well as the problem of systems governed by functional differential equations (of retarded or neutral type) and their stabilization. This book also proposes known and original mathematical complements.
Author | : Brian D. O. Anderson |
Publisher | : Courier Corporation |
Total Pages | : 559 |
Release | : 2013-01-30 |
Genre | : Technology & Engineering |
ISBN | : 0486152170 |
This comprehensive look at linear network analysis and synthesis explores state-space synthesis as well as analysis, employing modern systems theory to unite classical concepts of network theory. 1973 edition.
Author | : Stanley M. Shinners |
Publisher | : Wiley-Interscience |
Total Pages | : 630 |
Release | : 1998-09-30 |
Genre | : Computers |
ISBN | : |
Linear Control-System Compensation and Design - Modern Control-System Design Using State-Space, Pole Placement, Ackermann's Formula, Estimation, Robust Control, and H8 Techniques - Digital Control-System Analysis and Design - Nonlinear Control-System Design - Introduction to Optimal Control Theory and Its Applications - Control-System Design Examples: Complete Case Studies.
Author | : Sanjeev Arora |
Publisher | : Cambridge University Press |
Total Pages | : 609 |
Release | : 2009-04-20 |
Genre | : Computers |
ISBN | : 0521424267 |
New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.
Author | : Niklas Luhmann |
Publisher | : Polity |
Total Pages | : 300 |
Release | : 2012-12-10 |
Genre | : Social Science |
ISBN | : 9780745645728 |
Niklas Luhmann ranks as one of the most important sociologists and social theorists of the twentieth century. Through his many books he developed a highly original form of systems theory that has been hugely influential in a wide variety of disciplines. In Introduction to Systems Theory, Luhmann explains the key ideas of general and sociological systems theory and supplies a wealth of examples to illustrate his approach. The book offers a wide range of concepts and theorems that can be applied to politics and the economy, religion and science, art and education, organization and the family. Moreover, Luhmann’s ideas address important contemporary issues in such diverse fields as cognitive science, ecology, and the study of social movements. This book provides all the necessary resources for readers to work through the foundations of systems theory – no other work by Luhmann is as clear and accessible as this. There is also much here that will be of great interest to more advanced scholars and practitioners in sociology and the social sciences.
Author | : Diederich Hinrichsen |
Publisher | : Springer Science & Business Media |
Total Pages | : 818 |
Release | : 2011-08-03 |
Genre | : Mathematics |
ISBN | : 3540441255 |
This book presents the mathematical foundations of systems theory in a self-contained, comprehensive, detailed and mathematically rigorous way. It is devoted to the analysis of dynamical systems and 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.
Author | : Ludwig von Bertalanffy |
Publisher | : George Braziller |
Total Pages | : 0 |
Release | : 2015 |
Genre | : System theory |
ISBN | : 9780807600153 |
The classic book on a major modern theory
Author | : Bert E. Fristedt |
Publisher | : Springer Science & Business Media |
Total Pages | : 775 |
Release | : 2013-11-21 |
Genre | : Mathematics |
ISBN | : 1489928375 |
Students and teachers of mathematics and related fields will find this book a comprehensive and modern approach to probability theory, providing the background and techniques to go from the beginning graduate level to the point of specialization in research areas of current interest. The book is designed for a two- or three-semester course, assuming only courses in undergraduate real analysis or rigorous advanced calculus, and some elementary linear algebra. A variety of applications—Bayesian statistics, financial mathematics, information theory, tomography, and signal processing—appear as threads to both enhance the understanding of the relevant mathematics and motivate students whose main interests are outside of pure areas.
Author | : Anatole Katok |
Publisher | : Cambridge University Press |
Total Pages | : 828 |
Release | : 1995 |
Genre | : Mathematics |
ISBN | : 9780521575577 |
This book provided the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. The authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms. The book begins with a discussion of several elementary but fundamental examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbit structure. The third and fourth parts develop the theories of low-dimensional dynamical systems and hyperbolic dynamical systems in depth. Over 400 systematic exercises are included in the text. The book is aimed at students and researchers in mathematics at all levels from advanced undergraduate up.
Author | : Frank M. Callier |
Publisher | : Springer Science & Business Media |
Total Pages | : 524 |
Release | : 2012-12-06 |
Genre | : Technology & Engineering |
ISBN | : 1461209579 |
This book is the result of our teaching over the years an undergraduate course on Linear Optimal Systems to applied mathematicians and a first-year graduate course on Linear Systems to engineers. The contents of the book bear the strong influence of the great advances in the field and of its enormous literature. However, we made no attempt to have a complete coverage. Our motivation was to write a book on linear systems that covers finite dimensional linear systems, always keeping in mind the main purpose of engineering and applied science, which is to analyze, design, and improve the performance of phy sical systems. Hence we discuss the effect of small nonlinearities, and of perturbations of feedback. It is our on the data; we face robustness issues and discuss the properties hope that the book will be a useful reference for a first-year graduate student. We assume that a typical reader with an engineering background will have gone through the conventional undergraduate single-input single-output linear systems course; an elementary course in control is not indispensable but may be useful for motivation. For readers from a mathematical curriculum we require only familiarity with techniques of linear algebra and of ordinary differential equations.