Author: Fritz Colonius
Publisher: Springer Science & Business Media
ISBN: 1461201799
Category : Technology & Engineering
Languages : en
Pages : 320
Book Description
This new edited book focuses on the contemporary developments and results in mathematical systems theory and control. It is a book in honor of Diederich Hinrichsen, for his fundamental contributions and achievements in the fields of linear systems theory and control theory and for his long term achievements in establishing mathematical systems theory in Germany. The book includes invited, peer-reviewed, authoritative expositions and surveys of these fields, presented by leading international researchers. A key theme of the book is the stability and robustness of linear and nonlinear systems using the concepts of stability radii and spectral value sets. Chapters survey recent advances in linear and nonlinear systems theory, including parameterization problems and behaviors of linear systems, convolutional codes, and complementary systems and hybrid systems. In addition, the volume examines controllability and stabilization of infinite dimensional systems (allowing for hysteresis nonlinearities) with functional analytic and algebraic approaches. Features and topics include: * linear and nonlinear systems theory * control theory and applications * robust stability of multivariate polynomials * stability radii of slowly time-varying systems * invariance radius for nonlinear systems * parametrization of conditioned invariant subspaces The book is an essential resource for all researchers and professionals in applied mathematics and control engineering who are.
Advances in Mathematical Systems Theory
Author: Fritz Colonius
Publisher: Springer Science & Business Media
ISBN: 1461201799
Category : Technology & Engineering
Languages : en
Pages : 320
Book Description
This new edited book focuses on the contemporary developments and results in mathematical systems theory and control. It is a book in honor of Diederich Hinrichsen, for his fundamental contributions and achievements in the fields of linear systems theory and control theory and for his long term achievements in establishing mathematical systems theory in Germany. The book includes invited, peer-reviewed, authoritative expositions and surveys of these fields, presented by leading international researchers. A key theme of the book is the stability and robustness of linear and nonlinear systems using the concepts of stability radii and spectral value sets. Chapters survey recent advances in linear and nonlinear systems theory, including parameterization problems and behaviors of linear systems, convolutional codes, and complementary systems and hybrid systems. In addition, the volume examines controllability and stabilization of infinite dimensional systems (allowing for hysteresis nonlinearities) with functional analytic and algebraic approaches. Features and topics include: * linear and nonlinear systems theory * control theory and applications * robust stability of multivariate polynomials * stability radii of slowly time-varying systems * invariance radius for nonlinear systems * parametrization of conditioned invariant subspaces The book is an essential resource for all researchers and professionals in applied mathematics and control engineering who are.
Publisher: Springer Science & Business Media
ISBN: 1461201799
Category : Technology & Engineering
Languages : en
Pages : 320
Book Description
This new edited book focuses on the contemporary developments and results in mathematical systems theory and control. It is a book in honor of Diederich Hinrichsen, for his fundamental contributions and achievements in the fields of linear systems theory and control theory and for his long term achievements in establishing mathematical systems theory in Germany. The book includes invited, peer-reviewed, authoritative expositions and surveys of these fields, presented by leading international researchers. A key theme of the book is the stability and robustness of linear and nonlinear systems using the concepts of stability radii and spectral value sets. Chapters survey recent advances in linear and nonlinear systems theory, including parameterization problems and behaviors of linear systems, convolutional codes, and complementary systems and hybrid systems. In addition, the volume examines controllability and stabilization of infinite dimensional systems (allowing for hysteresis nonlinearities) with functional analytic and algebraic approaches. Features and topics include: * linear and nonlinear systems theory * control theory and applications * robust stability of multivariate polynomials * stability radii of slowly time-varying systems * invariance radius for nonlinear systems * parametrization of conditioned invariant subspaces The book is an essential resource for all researchers and professionals in applied mathematics and control engineering who are.
Mathematical Systems Theory I
Author: Diederich Hinrichsen
Publisher: Springer Science & Business Media
ISBN: 3540441255
Category : Mathematics
Languages : en
Pages : 818
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 3540441255
Category : Mathematics
Languages : en
Pages : 818
Book Description
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.
Advances in Mathematical Systems Theory
Author: Preston C. Hammer
Publisher: Penn State University Press
ISBN:
Category : Mathematics
Languages : en
Pages : 198
Book Description
The patterns that have emerged from recent attempts to use mathematics to discuss complex phenomena have led to the development of a new discipline--mathematical systems theory. This theory arises from models of the important interactions in real systems. Mathematicians, engineers, and technically-oriented administrators will find this new series-which describes in detail the latest views on real systems and the uses of formal systems-of great value. Four main areas are investigated in the first volume of the series: theory of finite automata in engineering systems; control systems; computer linguistics; and global principles concerning systems. Examples and applications are provided throughout this work. Contributors: Preston G. Hammer (Editor), Head, Computer Science Department, The Pennsylvania State University. Alan J. Perlis, Head, Computer Science Department, Case Institute of Technology, Former President, Association for Computing Machinery. M.D. Mesarovich, Director, Systems Research Institute, Case Institute of Technology, Editor, Journal of Mathematical Systems Theory. A.W. Wymore, Head, Systems Engineering Department, University of Arizona.
Publisher: Penn State University Press
ISBN:
Category : Mathematics
Languages : en
Pages : 198
Book Description
The patterns that have emerged from recent attempts to use mathematics to discuss complex phenomena have led to the development of a new discipline--mathematical systems theory. This theory arises from models of the important interactions in real systems. Mathematicians, engineers, and technically-oriented administrators will find this new series-which describes in detail the latest views on real systems and the uses of formal systems-of great value. Four main areas are investigated in the first volume of the series: theory of finite automata in engineering systems; control systems; computer linguistics; and global principles concerning systems. Examples and applications are provided throughout this work. Contributors: Preston G. Hammer (Editor), Head, Computer Science Department, The Pennsylvania State University. Alan J. Perlis, Head, Computer Science Department, Case Institute of Technology, Former President, Association for Computing Machinery. M.D. Mesarovich, Director, Systems Research Institute, Case Institute of Technology, Editor, Journal of Mathematical Systems Theory. A.W. Wymore, Head, Systems Engineering Department, University of Arizona.
Advances in Mathematical Systems Theory
Author: Fritz Colonius
Publisher:
ISBN: 9783764341626
Category : System theory
Languages : en
Pages : 296
Book Description
Publisher:
ISBN: 9783764341626
Category : System theory
Languages : en
Pages : 296
Book Description
Advances in Mathematical Systems Theory
Introduction to Mathematical Systems Theory
Author: J.C. Willems
Publisher: Springer Science & Business Media
ISBN: 1475729537
Category : Mathematics
Languages : en
Pages : 446
Book Description
Using the behavioural approach to mathematical modelling, this book views a system as a dynamical relation between manifest and latent variables. The emphasis is on dynamical systems that are represented by systems of linear constant coefficients. The first part analyses the structure of the set of trajectories generated by such dynamical systems, and derives the conditions for two systems of differential equations to be equivalent in the sense that they define the same behaviour. In addition the memory structure of the system is analysed through state space models. The second part of the book is devoted to a number of important system properties, notably controllability, observability, and stability. In the third part, control problems are considered, in particular stabilisation and pole placement questions. Suitable for advanced undergraduate or beginning graduate students in mathematics and engineering, this text contains numerous exercises, including simulation problems, and examples, notably of mechanical systems and electrical circuits.
Publisher: Springer Science & Business Media
ISBN: 1475729537
Category : Mathematics
Languages : en
Pages : 446
Book Description
Using the behavioural approach to mathematical modelling, this book views a system as a dynamical relation between manifest and latent variables. The emphasis is on dynamical systems that are represented by systems of linear constant coefficients. The first part analyses the structure of the set of trajectories generated by such dynamical systems, and derives the conditions for two systems of differential equations to be equivalent in the sense that they define the same behaviour. In addition the memory structure of the system is analysed through state space models. The second part of the book is devoted to a number of important system properties, notably controllability, observability, and stability. In the third part, control problems are considered, in particular stabilisation and pole placement questions. Suitable for advanced undergraduate or beginning graduate students in mathematics and engineering, this text contains numerous exercises, including simulation problems, and examples, notably of mechanical systems and electrical circuits.
Advances in Mathematical Systems Theory
Author: Birkhauser Verlag AG
Publisher:
ISBN: 9783764341626
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN: 9783764341626
Category :
Languages : en
Pages :
Book Description
Advances in Dynamical Systems Theory, Models, Algorithms and Applications
Author: Bruno Carpentieri
Publisher: BoD – Books on Demand
ISBN: 1839691239
Category : Mathematics
Languages : en
Pages : 132
Book Description
The theory of modern dynamical systems dates back to 1890 with studies by Poincaré on celestial mechanics. The tradition was continued by Birkhoff in the United States with his pivotal work on periodic orbits, and by the Moscow School in Russia (Liapunov, Andronov, Pontryagin). In the 1960s the field was revived by the emergence of the theory of chaotic attractors, and in modern years by accurate computer simulations. This book provides an overview of recent developments in the theory of dynamical systems, presenting some significant advances in the definition of new models, computer algorithms, and applications. Researchers, engineers and graduate students in both pure and applied mathematics will benefit from the chapters collected in this volume.
Publisher: BoD – Books on Demand
ISBN: 1839691239
Category : Mathematics
Languages : en
Pages : 132
Book Description
The theory of modern dynamical systems dates back to 1890 with studies by Poincaré on celestial mechanics. The tradition was continued by Birkhoff in the United States with his pivotal work on periodic orbits, and by the Moscow School in Russia (Liapunov, Andronov, Pontryagin). In the 1960s the field was revived by the emergence of the theory of chaotic attractors, and in modern years by accurate computer simulations. This book provides an overview of recent developments in the theory of dynamical systems, presenting some significant advances in the definition of new models, computer algorithms, and applications. Researchers, engineers and graduate students in both pure and applied mathematics will benefit from the chapters collected in this volume.
Introduction to Mathematical Systems Theory
Author: Christiaan Heij
Publisher: Springer Science & Business Media
ISBN: 3764375493
Category : Science
Languages : en
Pages : 169
Book Description
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. 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.
Publisher: Springer Science & Business Media
ISBN: 3764375493
Category : Science
Languages : en
Pages : 169
Book Description
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. 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.
Mathematical Systems Theory
Author: Geert Jan Olsder
Publisher:
ISBN: 9789071301407
Category : System theory
Languages : en
Pages : 208
Book Description
Publisher:
ISBN: 9789071301407
Category : System theory
Languages : en
Pages : 208
Book Description