Nonnegative Matrices in Dynamic Systems
Title | Nonnegative Matrices in Dynamic Systems PDF eBook |
Author | Abraham Berman |
Publisher | Wiley-Interscience |
Pages | 200 |
Release | 1989 |
Genre | Mathematics |
ISBN |
This work applies the theory of nonnegative matrices to problems arising in positive differential and control systems. There is a concise review of requisite material in convex analysis and matrix theory, as well as a detailed review of linear differential and control systems. Exposition incorporates simple real-world dynamic models to better illustrate various aspects of the theory being developed. Contains exercises.
Nonnegative Matrices in the Mathematical Sciences
Title | Nonnegative Matrices in the Mathematical Sciences PDF eBook |
Author | Abraham Berman |
Publisher | Academic Press |
Pages | 337 |
Release | 2014-05-10 |
Genre | Mathematics |
ISBN | 1483260860 |
Nonnegative Matrices in the Mathematical Sciences provides information pertinent to the fundamental aspects of the theory of nonnegative matrices. This book describes selected applications of the theory to numerical analysis, probability, economics, and operations research. Organized into 10 chapters, this book begins with an overview of the properties of nonnegative matrices. This text then examines the inverse-positive matrices. Other chapters consider the basic approaches to the study of nonnegative matrices, namely, geometrical and combinatorial. This book discusses as well some useful ideas from the algebraic theory of semigroups and considers a canonical form for nonnegative idempotent matrices and special types of idempotent matrices. The final chapter deals with the linear complementary problem (LCP). This book is a valuable resource for mathematical economists, mathematical programmers, statisticians, mathematicians, and computer scientists.
Nonnegative Matrices in Dynamic Systems
Title | Nonnegative Matrices in Dynamic Systems PDF eBook |
Author | Abraham Berman |
Publisher | Wiley-Interscience |
Pages | 200 |
Release | 1989-10-31 |
Genre | Mathematics |
ISBN |
This work applies the theory of nonnegative matrices to problems arising in positive differential and control systems. There is a concise review of requisite material in convex analysis and matrix theory, as well as a detailed review of linear differential and control systems. Exposition incorporates simple real-world dynamic models to better illustrate various aspects of the theory being developed. Contains exercises.
Cooperative Control of Dynamical Systems
Title | Cooperative Control of Dynamical Systems PDF eBook |
Author | Zhihua Qu |
Publisher | Springer Science & Business Media |
Pages | 335 |
Release | 2009-02-07 |
Genre | Technology & Engineering |
ISBN | 1848823258 |
Stability theory has allowed us to study both qualitative and quantitative properties of dynamical systems, and control theory has played a key role in designing numerous systems. Contemporary sensing and communication n- works enable collection and subscription of geographically-distributed inf- mation and such information can be used to enhance signi?cantly the perf- manceofmanyofexisting systems. Throughasharedsensing/communication network,heterogeneoussystemscannowbecontrolledtooperaterobustlyand autonomously; cooperative control is to make the systems act as one group and exhibit certain cooperative behavior, and it must be pliable to physical and environmental constraints as well as be robust to intermittency, latency and changing patterns of the information ?ow in the network. This book attempts to provide a detailed coverage on the tools of and the results on analyzing and synthesizing cooperative systems. Dynamical systems under consideration can be either continuous-time or discrete-time, either linear or non-linear, and either unconstrained or constrained. Technical contents of the book are divided into three parts. The ?rst part consists of Chapters 1, 2, and 4. Chapter 1 provides an overview of coope- tive behaviors, kinematical and dynamical modeling approaches, and typical vehicle models. Chapter 2 contains a review of standard analysis and design tools in both linear control theory and non-linear control theory. Chapter 4 is a focused treatment of non-negativematrices and their properties,multipli- tive sequence convergence of non-negative and row-stochastic matrices, and the presence of these matrices and sequences in linear cooperative systems.
Nonnegative Matrices, Positive Operators, And Applications
Title | Nonnegative Matrices, Positive Operators, And Applications PDF eBook |
Author | Aihui Zhou |
Publisher | World Scientific Publishing Company |
Pages | 362 |
Release | 2009-08-24 |
Genre | Mathematics |
ISBN | 981310743X |
Nonnegative matrices and positive operators are widely applied in science, engineering, and technology. This book provides the basic theory and several typical modern science and engineering applications of nonnegative matrices and positive operators, including the fundamental theory, methods, numerical analysis, and applications in the Google search engine, computational molecular dynamics, and wireless communications.Unique features of this book include the combination of the theories of nonnegative matrices and positive operators as well as the emphasis on applications of nonnegative matrices in the numerical analysis of positive operators, such as Markov operators and Frobenius-Perron operators both of which play key roles in the statistical and stochastic studies of dynamical systems.It can be used as a textbook for an upper level undergraduate or beginning graduate course in advanced matrix theory and/or positive operators as well as for an advanced topics course in operator theory or ergodic theory. In addition, it serves as a good reference for researchers in mathematical sciences, physical sciences, and engineering.
Nonnegative and Compartmental Dynamical Systems
Title | Nonnegative and Compartmental Dynamical Systems PDF eBook |
Author | Wassim M. Haddad |
Publisher | Princeton University Press |
Pages | 624 |
Release | 2010-01-04 |
Genre | Mathematics |
ISBN | 1400832241 |
This comprehensive book provides the first unified framework for stability and dissipativity analysis and control design for nonnegative and compartmental dynamical systems, which play a key role in a wide range of fields, including engineering, thermal sciences, biology, ecology, economics, genetics, chemistry, medicine, and sociology. Using the highest standards of exposition and rigor, the authors explain these systems and advance the state of the art in their analysis and active control design. Nonnegative and Compartmental Dynamical Systems presents the most complete treatment available of system solution properties, Lyapunov stability analysis, dissipativity theory, and optimal and adaptive control for these systems, addressing continuous-time, discrete-time, and hybrid nonnegative system theory. This book is an indispensable resource for applied mathematicians, dynamical systems theorists, control theorists, and engineers, as well as for researchers and graduate students who want to understand the behavior of nonnegative and compartmental dynamical systems that arise in areas such as biomedicine, demographics, epidemiology, pharmacology, telecommunications, transportation, thermodynamics, networks, heat transfer, and power systems.
Nonnegative Matrices in the Mathematical Sciences
Title | Nonnegative Matrices in the Mathematical Sciences PDF eBook |
Author | Abraham Berman |
Publisher | SIAM |
Pages | 357 |
Release | 1994-01-01 |
Genre | Mathematics |
ISBN | 0898713218 |
Mathematics of Computing -- Numerical Analysis.