Nonnegative Matrices in Dynamic Systems PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Nonnegative Matrices in Dynamic Systems PDF full book. Access full book title Nonnegative Matrices in Dynamic Systems by Abraham Berman. Download full books in PDF and EPUB format.
Author: Abraham Berman Publisher: Wiley-Interscience ISBN: Category : Mathematics Languages : en Pages : 200
Book Description
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.
Author: Abraham Berman Publisher: Wiley-Interscience ISBN: Category : Mathematics Languages : en Pages : 200
Book Description
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.
Author: Abraham Berman Publisher: Academic Press ISBN: 1483260860 Category : Mathematics Languages : en Pages : 337
Book Description
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.
Author: Abraham Berman Publisher: Wiley-Interscience ISBN: Category : Mathematics Languages : en Pages : 200
Book Description
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.
Author: Aihui Zhou Publisher: World Scientific Publishing Company ISBN: 981310743X Category : Mathematics Languages : en Pages : 362
Book Description
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.
Author: Zhihua Qu Publisher: Springer Science & Business Media ISBN: 1848823258 Category : Technology & Engineering Languages : en Pages : 335
Book Description
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.
Author: Wassim M. Haddad Publisher: Princeton University Press ISBN: 1400832241 Category : Mathematics Languages : en Pages : 624
Book Description
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.
Author: Shankar P. Bhattacharyya Publisher: CRC Press ISBN: 1000102564 Category : Technology & Engineering Languages : en Pages : 535
Book Description
This book is a collection of 34 papers presented by leading researchers at the International Workshop on Robust Control held in San Antonio, Texas in March 1991. The common theme tying these papers together is the analysis, synthesis, and design of control systems subject to various uncertainties. The papers describe the latest results in parametric understanding, H8 uncertainty, l1 optical control, and Quantitative Feedback Theory (QFT). The book is the first to bring together all the diverse points of view addressing the robust control problem and should strongly influence development in the robust control field for years to come. For this reason, control theorists, engineers, and applied mathematicians should consider it a crucial acquisition for their libraries.
Author: Kenneth J. Arrow Publisher: ISBN: Category : Languages : en Pages : 20
Book Description
This paper studies the behavior in the neighborhood of the starting point of dynamic systems (solutions of difference or differential equations) whose Jacobians are Metzler matrices. (A Metzler matrix is one whose off-diagonal elements are non-negative.) A new concept, that of first-positivity of a sequence, is introduced; a sequence is first-positive if its first non-zero element is positive. First-positivity holds for a sequence of matrices or vectors if it holds for each component. It is shown that the sequence of powers of a Metzler matrix is first-positive; also, for each position in the matrix (defined by row and column), the number of steps to the first non-zero entry in the sequence is equal to the minimum length of a chain from the row to the column through non-zero entries in the Metzler matrix. From this, it is possible to express (a) the time of first-positivity of a specific component of the solution to a system of difference equations and (b) the order of increase of a specific component of the solution to a system of differential equations in terms of the connectivity properties of the governing matrix, the specification of the positive components of the starting values, and the first-positivity properties of the forcing functions. (Author).
Author: D. J. Hartfiel Publisher: World Scientific ISBN: 9812810056 Category : Mathematics Languages : en Pages : 236
Book Description
Infinite products of matrices are used in nonhomogeneous Markov chains, Markov set-chains, demographics, probabilistic automata, production and manpower systems, tomography, and fractals. More recent results have been obtained in computer design of curves and surfaces. This book puts together much of the basic work on infinite products of matrices, providing a primary source for such work. This will eliminate the rediscovery of known results in the area, and thus save considerable time for researchers who work with infinite products of matrices. In addition, two chapters are included to show how infinite products of matrices are used in graphics and in systems work. Contents: Functionals; Semigroups of Matrices; Patterned Matrices; Ergodicity; Convergence; Continuous Convergence; Paracontracting; Set Convergence; Perturbations in Matrix Sets; Graphics; Slowly Varying Products; Systems. Readership: Researchers in applied mathematics, numerical and computational mathematics, industrial engineering, chaos and dynamical systems.
Author: Abraham Berman
Author: Abraham Berman
Author: Abraham Berman
Author: Abraham Berman
Author: Aihui Zhou
Author: Zhihua Qu
Author: Wassim M. Haddad
Author: Abraham Berman
Author: Shankar P. Bhattacharyya
Author: Kenneth J. Arrow
Author: D. J. Hartfiel