Aggregation Of Positive Linear Systems
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| Author | : Lorenzo Farina |
| Publisher | : John Wiley & Sons |
| Total Pages | : 322 |
| Release | : 2011-09-30 |
| Genre | : Mathematics |
| ISBN | : 111803127X |
A complete study on an important class of linear dynamicalsystems-positive linear systems One of the most often-encountered systems in nearly all areas ofscience and technology, positive linear systems is a specific butremarkable and fascinating class. Renowned scientists LorenzoFarina and Sergio Rinaldi introduce readers to the world ofpositive linear systems in their rigorous but highly accessiblebook, rich in applications, examples, and figures. This professional reference is divided into three main parts: Thefirst part contains the definitions and basic properties ofpositive linear systems. The second part, following the theoreticalexposition, reports the main conceptual results, consideringapplicable examples taken from a number of widely used models. Thethird part is devoted to the study of some classes of positivelinear systems of particular relevance in applications (such as theLeontief model, the Leslie model, the Markov chains, thecompartmental systems, and the queueing systems). Readers familiarwith linear algebra and linear systems theory will appreciate theway arguments are treated and presented. Extraordinarily comprehensive, Positive Linear Systemsfeatures: * Applications from a variety of backgrounds including modeling,control engineering, computer science, demography, economics,bioengineering, chemistry, and ecology * References and annotated bibliographies throughout the book * Two appendices concerning linear algebra and linear systemstheory for readers unfamiliar with the mathematics used Farina and Rinaldi make no effort to hide their enthusiasm for thetopics presented, making Positive Linear Systems: Theory andApplications an indispensable resource for researchers andprofessionals in a broad range of fields.
| Author | : |
| Publisher | : |
| Total Pages | : 1096 |
| Release | : 1979 |
| Genre | : Aeronautics |
| ISBN | : |
| Author | : James Lam |
| Publisher | : Springer |
| Total Pages | : 331 |
| Release | : 2019-01-12 |
| Genre | : Technology & Engineering |
| ISBN | : 3030043274 |
This book presents high-quality original contributions on positive systems, including those with positivity in compartmental switched systems, Markovian jump systems, Boolean networks, interval observer design, fault detection, and delay systems. It comprises a selection of the best papers from POSTA 2018, the 6th International Conference on Positive Systems, which was held in Hangzhou, China, in August 2018. The POSTA conference series represents a targeted response to the growing need for research that reports on and critically discusses a wide range of topics concerning the theory and applications of positive systems. The book offers valuable insights for researchers in applied mathematics, control theory and their applications.
| Author | : Luca Benvenuti |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 428 |
| Release | : 2003-07-25 |
| Genre | : Technology & Engineering |
| ISBN | : 9783540403425 |
The proceedings of the First Multidisciplinary International Symposium on Positive Systems Theory and Applications (POSTA 2003) held in Rome, Italy, August 28-30, 2003. Positive Systems are systems in which the relevant variables assume nonnegative values. These systems are quite common in applications where variables represent positive quantities such as populations, goods, money, time, data packets flowing in a network, densities of chemical species, probabilities, etc. The aim of the symposium was to join together researchers working in the different areas related to positive systems such as telecommunications, economy, biomedicine, chemistry and physics in order to provide a multidisciplinary forum where they have the opportunity to exchange ideas and compare results in a unifying framework.
| Author | : Rafael Bru |
| Publisher | : Springer |
| Total Pages | : 385 |
| Release | : 2009-09-30 |
| Genre | : Technology & Engineering |
| ISBN | : 3642028942 |
This volume contains the proceedings of the "Third Multidisciplinary Symposium on Positive Systems: Theory and Applications (POSTA09)" held in Valencia, Spain, September 2–4, 2009. This is the only world congress whose main topic is focused on this field.
| Author | : Mark Aleksandrovich Krasnoselʹskiĭ |
| Publisher | : |
| Total Pages | : 380 |
| Release | : 1989 |
| Genre | : Iterative methods (Mathematics). |
| ISBN | : |
| Author | : Denis Bouyssou |
| Publisher | : John Wiley & Sons |
| Total Pages | : 671 |
| Release | : 2013-05-10 |
| Genre | : Business & Economics |
| ISBN | : 1118619528 |
This book provides an overview of the main methods and results in the formal study of the human decision-making process, as defined in a relatively wide sense. A key aim of the approach contained here is to try to break down barriers between various disciplines encompassed by this field, including psychology, economics and computer science. All these approaches have contributed to progress in this very important and much-studied topic in the past, but none have proved sufficient so far to define a complete understanding of the highly complex processes and outcomes. This book provides the reader with state-of-the-art coverage of the field, essentially forming a roadmap to the field of decision analysis. The first part of the book is devoted to basic concepts and techniques for representing and solving decision problems, ranging from operational research to artificial intelligence. Later chapters provide an extensive overview of the decision-making process under conditions of risk and uncertainty. Finally, there are chapters covering various approaches to multi-criteria decision-making. Each chapter is written by experts in the topic concerned, and contains an extensive bibliography for further reading and reference.
| Author | : International Federation of Automatic Control. World Congress |
| Publisher | : |
| Total Pages | : 754 |
| Release | : 1978 |
| Genre | : Automatic control |
| ISBN | : |
| Author | : Robert J. Aumann |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 306 |
| Release | : 1999 |
| Genre | : Business & Economics |
| ISBN | : 9780821805251 |
Since the publication of "Theory of Games and Economic Behavior" by von Neumann and Morgenstern, the concept of games has played an increasing role in economics. It also plays a role of growing importance in other sciences, including biology, political science, and psychology. Many scientists have made seminal advances and continue to be leaders in the field, including Harsanyi, Shapley, Shubik, and Selten. Professor Robert Aumann, in addition to his important contributions to game theory and economics, made a number of significant contributions to mathematics. This volume provides a collection of essays in mathematical economics and game theory, including cutting-edge research on noncooperative game theory and its foundations, bargaining theory, and general equilibrium theory. Also included is a reprint of Aumann's classic paper, "Acceptable Points in General Cooperative n-Person Games" and of the oft-cited, yet hard to find, paper by Maschler, "The Worth of a Cooperative Enterprise to Each Member". This book illustrates the wide range of applications of mathematics to economics, game theory, and social choice. The volume is dedicated to Professor Robert J. Aumann, Hebrew University, Jerusalem, Israel, for his contributions in mathematics and social sciences.
| Author | : Jan Maximilian Montenbruck |
| Publisher | : Logos Verlag Berlin GmbH |
| Total Pages | : 115 |
| Release | : 2016-07-15 |
| Genre | : Technology & Engineering |
| ISBN | : 3832542876 |
Submanifold stabilization is the problem of steering a quantity towards a desired submanifold of the space in which it evolves. This is done by controlling the system producing the quantity in an appropriate fashion. In this thesis, methods for explicitly constructing controllers which solve submanifold stabilization problems are proposed. To this end, three distinct approaches are pursued: For control systems modeled by input-affne differential equations, a construction for turning the submanifold into an asymptotically stable invariant set is presented. For controllers which shall stabilize the submanifold with minimal energy consumption, the structure of such optimal controls is investigated. For control systems modeled by input-output relationships, a framework for bounding the integral deviation of the output from the submanifold is proposed.
