Download or read book Matrix Diagonal Stability in Systems and Computation written by Eugenius Kaszkurewicz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a collection of results, observations, and examples related to dynamical systems described by linear and nonlinear ordinary differential and difference equations. In particular, dynamical systems that are susceptible to analysis by the Liapunov approach are considered. The naive observation that certain "diagonal-type" Liapunov functions are ubiquitous in the literature attracted the attention of the authors and led to some natural questions. Why does this happen so often? What are the spe cial virtues of these functions in this context? Do they occur so frequently merely because they belong to the simplest class of Liapunov functions and are thus more convenient, or are there any more specific reasons? This monograph constitutes the authors' synthesis of the work on this subject that has been jointly developed by them, among others, producing and compiling results, properties, and examples for many years, aiming to answer these questions and also to formalize some of the folklore or "cul ture" that has grown around diagonal stability and diagonal-type Liapunov functions. A natural answer to these questions would be that the use of diagonal type Liapunov functions is frequent because of their simplicity within the class of all possible Liapunov functions. This monograph shows that, although this obvious interpretation is often adequate, there are many in stances in which the Liapunov approach is best taken advantage of using diagonal-type Liapunov functions. In fact, they yield necessary and suffi cient stability conditions for some classes of nonlinear dynamical systems.
Download or read book Matrix Diagonal Stability and Its Implications written by A. Berman and published by . This book was released on 1983 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book SIAM Journal on Matrix Analysis and Applications written by and published by . This book was released on 1997 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Linear Algebra and Its Role in Systems Theory written by Richard A. Brualdi and published by . This book was released on 1985 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of 35 papers, resulting from the 1984 AMS-IMS-SIAM Summer Research Conference, displays the cross-developments between linear algebra (including numerical linear algebra) and systems and control theory. Linear algebraists will see how some beautiful and strong results of control and systems theory can be derived using the concepts of linear algebra; control and systems theorists will find numerically viable algorithms which can be developed for some important control problems. A full appreciation of the material requires an advanced course in linear algebra, a basic course in matrix computation, and a first course in control theory.
Download or read book SIAM Journal on Algebraic and Discrete Methods written by Society for Industrial and Applied Mathematics and published by . This book was released on 1985 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Handbook of Linear Algebra written by Leslie Hogben and published by CRC Press. This book was released on 2006-11-02 with total page 1402 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Linear Algebra provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use handbook format. The esteemed international contributors guide you from the very elementary aspects of the subject to the frontiers of current research. The book features an accessibl
Download or read book Computational Complexity of Robust Stability and Regularity in Families of Linear Systems written by Gregory E. Coxson and published by . This book was released on 1993 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Frequency Domain and State Space Methods for Linear Systems written by Christopher I. Byrnes and published by North Holland. This book was released on 1986 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Very Good,No Highlights or Markup,all pages are intact.
Download or read book Semi infinite Programming written by Hui Hu and published by . This book was released on 1989 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Upper bounds for finding an [epsilon]-optimal solution and for the distance between an [epsilon]-optimal solution and an optimal solution are given. (4) Applications of the above algorithm to convex programming. First, a certain semi-infinite linear program is solved by this algorithm so as to obtain a feasible solution of a convex program. Then, another semi-infinite linear program is solved by this algorithm so as to obtain an optimal solution of the convex program. In particular, it is shown that for a strongly consistent convex program this algorithm can find a feasible solution after a finite number of iterations."
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Download or read book Sydney R Parker written by and published by . This book was released on 1998 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Linear Complementarity Problem written by Richard Cottle and published by . This book was released on 1992 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past twenty years, the linear complementarity problem has emerged as an important development in mathematical programming and numerical linear algebra. The Linear Complementarity Problem is a text designed to be suitable for both classroom use and as a references for researchers. The book is ideal for graduate students pursuing an advanced degree in operations research, but it is also of importance for many related fields of study, such as: computer science, applied mathematics, engineering, business studies, etc.
Download or read book Matrices and Graphs Stability Problems in Mathematical Ecology written by D. Logofet and published by CRC Press. This book was released on 2018-02-01 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intuitive ideas of stability in dynamics of a biological population, community, or ecosystem can be formalized in the framework of corresponding mathematical models. These are often represented by systems of ordinary differential equations or difference equations. Matrices and Graphs covers achievements in the field using concepts from matrix theory and graph theory. The book effectively surveys applications of mathematical results pertinent to issues of theoretical and applied ecology. The only mathematical prerequisite for using Matrices and Graphs is a working knowledge of linear algebra and matrices. The book is ideal for biomathematicians, ecologists, and applied mathematicians doing research on dynamic behavior of model populations and communities consisting of multi-component systems. It will also be valuable as a text for a graduate-level topics course in applied math or mathematical ecology.
Download or read book Matrix Methods in Stability Theory written by Stephen Barnett and published by . This book was released on 1970 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Graph Theory Newsletter written by and published by . This book was released on 1981 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonparametric Comparative Statics and Stability written by Douglas Hale and published by Princeton University Press. This book was released on 1999 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applications of the analysis range from determining refutable hypotheses from theory to auditing the solutions of large, computer-based systems."--BOOK JACKET.