System Theory -- A Modern Approach, Volume 1

System Theory -- A Modern Approach, Volume 1
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.

Network Analysis and Synthesis

Network Analysis and Synthesis
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.

Advanced Modern Control System Theory and Design

Advanced Modern Control System Theory and Design
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.

Computational Complexity

Computational Complexity
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.

Introduction to Systems Theory

Introduction to Systems Theory
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.

Mathematical Systems Theory I

Mathematical Systems Theory I
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.

General System Theory

General System Theory
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

A Modern Approach to Probability Theory

A Modern Approach to Probability 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.

Introduction to the Modern Theory of Dynamical Systems

Introduction to the Modern Theory of Dynamical Systems
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.

Systems of Art

Systems of Art
Author: Francis Halsall
Publisher: Peter Lang
Total Pages: 258
Release: 2008
Genre: Art
ISBN: 9783039110735

Systems theory emerged in the mid-20th century along with related theories such as Cybernetics and Information Theory. Recently it has included Complexity Theory, Chaos Theory and Social Systems Theory. Systems theory understands phenomena in terms of the systems of which they are part. This book is about a systems theoretical approach to thinking about art. It examines what it means to look to systems theory both for its implications for artistic practice and as a theory of art. This publication provides a sustained discussion on the application of systems theory to an account of art.