Max Linear Systems

Author : Peter Butkovič
Publisher : Springer Science & Business Media
Page : 281 pages
File Size : 50,5 Mb
Release : 2010-08-05
Category : Mathematics
ISBN : 9781849962995

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Max-linear Systems: Theory and Algorithms by Peter Butkovič Pdf

Recent years have seen a significant rise of interest in max-linear theory and techniques. Specialised international conferences and seminars or special sessions devoted to max-algebra have been organised. This book aims to provide a first detailed and self-contained account of linear-algebraic aspects of max-algebra for general (that is both irreducible and reducible) matrices. Among the main features of the book is the presentation of the fundamental max-algebraic theory (Chapters 1-4), often scattered in research articles, reports and theses, in one place in a comprehensive and unified form. This presentation is made with all proofs and in full generality (that is for both irreducible and reducible matrices). Another feature is the presence of advanced material (Chapters 5-10), most of which has not appeared in a book before and in many cases has not been published at all. Intended for a wide-ranging readership, this book will be useful for anyone with basic mathematical knowledge (including undergraduate students) who wish to learn fundamental max-algebraic ideas and techniques. It will also be useful for researchers working in tropical geometry or idempotent analysis.

Author : Peter Butkovi
Publisher : Unknown
Page : 292 pages
File Size : 53,6 Mb
Release : 2010-09-13
Category : Electronic
ISBN : 1849963002

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Max-Linear Systems by Peter Butkovi Pdf

Author : Tomohiro Sogabe
Publisher : Springer Nature
Page : 233 pages
File Size : 52,9 Mb
Release : 2023-01-20
Category : Mathematics
ISBN : 9789811985324

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Krylov Subspace Methods for Linear Systems by Tomohiro Sogabe Pdf

This book focuses on Krylov subspace methods for solving linear systems, which are known as one of the top 10 algorithms in the twentieth century, such as Fast Fourier Transform and Quick Sort (SIAM News, 2000). Theoretical aspects of Krylov subspace methods developed in the twentieth century are explained and derived in a concise and unified way. Furthermore, some Krylov subspace methods in the twenty-first century are described in detail, such as the COCR method for complex symmetric linear systems, the BiCR method, and the IDR(s) method for non-Hermitian linear systems. The strength of the book is not only in describing principles of Krylov subspace methods but in providing a variety of applications: shifted linear systems and matrix functions from the theoretical point of view, as well as partial differential equations, computational physics, computational particle physics, optimizations, and machine learning from a practical point of view. The book is self-contained in that basic necessary concepts of numerical linear algebra are explained, making it suitable for senior undergraduates, postgraduates, and researchers in mathematics, engineering, and computational science. Readers will find it a useful resource for understanding the principles and properties of Krylov subspace methods and correctly using those methods for solving problems in the future.

Author : Sven Hasenfuss
Publisher : Unknown
Page : 215 pages
File Size : 44,9 Mb
Release : 1998
Category : Electronic
ISBN : 3826536215

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Performance Analysis of (max,+)-linear Systems Via Taylor Series Expansions by Sven Hasenfuss Pdf

Author : Hassan Yasser
Publisher : BoD – Books on Demand
Page : 265 pages
File Size : 50,5 Mb
Release : 2012-07-11
Category : Mathematics
ISBN : 9789535106692

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Linear Algebra by Hassan Yasser Pdf

Linear algebra occupies a central place in modern mathematics. Also, it is a beautiful and mature field of mathematics, and mathematicians have developed highly effective methods for solving its problems. It is a subject well worth studying for its own sake. This book contains selected topics in linear algebra, which represent the recent contributions in the most famous and widely problems. It includes a wide range of theorems and applications in different branches of linear algebra, such as linear systems, matrices, operators, inequalities, etc. It continues to be a definitive resource for researchers, scientists and graduate students.

Author : Sophie Tarbouriech,Germain Garcia,João Manoel Gomes da Silva Jr.,Isabelle Queinnec
Publisher : Springer Science & Business Media
Page : 441 pages
File Size : 51,8 Mb
Release : 2011-08-13
Category : Technology & Engineering
ISBN : 9780857299413

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Stability and Stabilization of Linear Systems with Saturating Actuators by Sophie Tarbouriech,Germain Garcia,João Manoel Gomes da Silva Jr.,Isabelle Queinnec Pdf

This monograph details basic concepts and tools fundamental for the analysis and synthesis of linear systems subject to actuator saturation and developments in recent research. The authors use a state-space approach and focus on stability analysis and the synthesis of stabilizing control laws in both local and global contexts. Different methods of modeling the saturation and behavior of the nonlinear closed-loop system are given special attention. Various kinds of Lyapunov functions are considered to present different stability conditions. Results arising from uncertain systems and treating performance in the presence of saturation are given. The text proposes methods and algorithms, based on the use of linear programming and linear matrix inequalities, for computing estimates of the basin of attraction and for designing control systems accounting for the control bounds and the possibility of saturation. They can be easily implemented with mathematical software packages.

Author : Bernd F. Heidergott
Publisher : Springer Science & Business Media
Page : 324 pages
File Size : 48,7 Mb
Release : 2006-12-26
Category : Computers
ISBN : 9780387389950

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Max-Plus Linear Stochastic Systems and Perturbation Analysis by Bernd F. Heidergott Pdf

This book provides a thorough review and explanation of the theory of stochastic max-plus linear systems, which has seen rapid advances in the last decade. The coverage includes modeling issues and stability theory for stochastic max-plus systems, perturbation analysis of max-plus systems, developing a calculus for differentiation of max-plus systems. This leads to numerical evaluations of performance indices of max-plus linear stochastic systems, such as the Lyapunov exponent or waiting times.

Author : Laurent Hardouin,Bertrand Cottenceau,Ying Shang,Joerg Raisch
Publisher : Foundations and Trends (R) in Systems and Control
Page : 134 pages
File Size : 47,7 Mb
Release : 2018-12-24
Category : Electronic
ISBN : 1680835440

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Control and State Estimation for Max-Plus Linear Systems by Laurent Hardouin,Bertrand Cottenceau,Ying Shang,Joerg Raisch Pdf

Max-plus linear systems theory was inspired by and originated from classical linear systems theory more than three decades ago, with the purpose of dealing with nonlinear synchronization and delay phenomena in timed discrete event systems in a linear manner. Timed discrete event systems describe many problems in diverse areas such as manufacturing, communication, or transportation networks. This monograph provides a thorough survey of current research work in max-plus linear systems. It summarizes the main mathematical concepts required for a theory of max-plus linear systems, including idempotent semirings, residuation theory, fixed point equations in the max-plus algebra, formal power series, and timed-event graphs. The authors also review some recent major achievements in control and state estimation of max-plus linear systems. These include max-plus observer design, max-plus model matching by output or state feedback and observer-based control synthesis. Control and State Estimation for Max-Plus Linear Systems offers students, practitioners, and researchers an accessible and comprehensive overview of the most important recent work in max-plus Linear Systems.

Author : Moamar Sayed-Mouchaweh
Publisher : Springer
Page : 286 pages
File Size : 42,6 Mb
Release : 2018-03-27
Category : Technology & Engineering
ISBN : 9783319740140

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Fault Diagnosis of Hybrid Dynamic and Complex Systems by Moamar Sayed-Mouchaweh Pdf

Online fault diagnosis is crucial to ensure safe operation of complex dynamic systems in spite of faults affecting the system behaviors. Consequences of the occurrence of faults can be severe and result in human casualties, environmentally harmful emissions, high repair costs, and economical losses caused by unexpected stops in production lines. The majority of real systems are hybrid dynamic systems (HDS). In HDS, the dynamical behaviors evolve continuously with time according to the discrete mode (configuration) in which the system is. Consequently, fault diagnosis approaches must take into account both discrete and continuous dynamics as well as the interactions between them in order to perform correct fault diagnosis. This book presents recent and advanced approaches and techniques that address the complex problem of fault diagnosis of hybrid dynamic and complex systems using different model-based and data-driven approaches in different application domains (inductor motors, chemical process formed by tanks, reactors and valves, ignition engine, sewer networks, mobile robots, planetary rover prototype etc.). These approaches cover the different aspects of performing single/multiple online/offline parametric/discrete abrupt/tear and wear fault diagnosis in incremental/non-incremental manner, using different modeling tools (hybrid automata, hybrid Petri nets, hybrid bond graphs, extended Kalman filter etc.) for different classes of hybrid dynamic and complex systems.

Author : Ho-Hon Leung
Publisher : Springer Nature
Page : 383 pages
File Size : 54,9 Mb
Release : 2024-06-26
Category : Electronic
ISBN : 9783031375385

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Recent Developments in Algebra and Analysis by Ho-Hon Leung Pdf

Author : El Mostapha Aboulhamid,Frederic Rousseau
Publisher : CRC Press
Page : 317 pages
File Size : 54,8 Mb
Release : 2018-10-03
Category : Computers
ISBN : 9781439812129

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System Level Design with .Net Technology by El Mostapha Aboulhamid,Frederic Rousseau Pdf

The first book to harness the power of .NET for system design, System Level Design with .NET Technology constitutes a software-based approach to design modeling verification and simulation. World class developers, who have been at the forefront of system design for decades, explain how to tap into the power of this dynamic programming environment for more effective and efficient management of metadata—and introspection and interoperability between tools. Using readily available technology, the text details how to capture constraints and requirements at high levels and describes how to percolate them during the refinement process. Departing from proprietary environments built around System Verilog and VHDL, this cutting-edge reference includes an open source environment (ESys.NET) that readers can use to experiment with new ideas, algorithms, and design methods; and to expand the capabilities of their current tools. It also covers: Modeling and simulation—including requirements specification, IP reuse, and applications of design patterns to hardware/software systems Simulation and validation—including transaction-based models, accurate simulation at cycle and transaction levels, cosimulation and acceleration technique, as well as timing specification and validation Practical use of the ESys.NET environment Worked examples, end of chapter references, and the ESys.NET implementation test bed make this the ideal resource for system engineers and students looking to maximize their embedded system designs.

Author : Qianchuan Zhao,Li Xia
Publisher : Springer Nature
Page : 274 pages
File Size : 53,8 Mb
Release : 2021-12-07
Category : Computers
ISBN : 9783030925116

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Performance Evaluation Methodologies and Tools by Qianchuan Zhao,Li Xia Pdf

This book constitutes the refereed conference proceedings of the 14th International Conference on Performance Evaluation Methodologies and Tools, VALUETOOLS 2021, held in October 2021. Due to the safety concerns and travel restrictions caused by COVID-19, VALUETOOLS took place online in a live stream. VALUETOOLS 2021 aims to provide a world-leading and multidisciplinary venue for researchers and practitioners in diverse disciplines such as computer science, networks and telecommunications, operations research, optimization, control theory and manufacturing. The 16 full papers were carefully reviewed and selected from 32 submissions and focus on methodologies and practices in modelling, performance evaluation and optimization of complex systems.

Author : Yusheng Wei,Zongli Lin
Publisher : Springer Nature
Page : 349 pages
File Size : 55,9 Mb
Release : 2020-10-31
Category : Science
ISBN : 9783030534295

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Truncated Predictor Based Feedback Designs for Linear Systems with Input Delay by Yusheng Wei,Zongli Lin Pdf

This monograph is the first of its kind to present innovative research results on truncated predictor feedback (TPF) designs for general linear systems with input delay. Beginning with a brief review of time delay systems, the first half of the book focuses on TPF with a constant feedback parameter. Both state feedback and output feedback are considered. It is established that TPF achieves stabilization in the presence of an arbitrarily large bounded delay if the open loop system is not exponentially unstable. Examples are presented to illustrate that TPF may fail to stabilize an exponentially unstable system when the delay is sufficiently large. Bounds on the delay are then established under which stabilization can be achieved. The second half of the book explores variations of the TPF laws designed with a non-constant feedback parameter to accommodate unknown delays and improve closed-loop performance. The authors employ a step-by-step approach to presenting the ultimate result on a completely delay-independent feedback law. Truncated Predictor Based Feedback Designs for Linear Systems with Input Delay will appeal to control engineers, control theorists, and graduate students studying control systems. This volume will also be a valuable resource for engineers and applied mathematicians interested in dynamic systems with time delays.

Author : Wojciech Bożejko,Grzegorz Bocewicz
Publisher : Springer
Page : 190 pages
File Size : 46,9 Mb
Release : 2019-08-16
Category : Technology & Engineering
ISBN : 9783030276522

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Modelling and Performance Analysis of Cyclic Systems by Wojciech Bożejko,Grzegorz Bocewicz Pdf

Striking a balance between state-of-the-art research and practical applications, this book provides a forum for contributions that cover the main research challenges in the cyclic modeling, development, and validation of concurrently acting distributed production systems: systems that employ multi-assortment production in large quantities, are characterized by gradual changes in their product mix, and exclusively manufacture products in a cyclic manner. Similar issues also arise in computer systems, e.g., embedded systems. Cyclic optimization problems that occur in them are unique and under-researched, but are attracting new interest primarily due to their great practical importance and the difficulty involved in obtaining efficient algorithms for solving specific cases with real constraints arising from manufacturing practice. Addressing these and other topics, the book will be of great interest to researchers in computer science, operations management, and production control, as well as practicing managers and engineers.

Author : Luca Ghezzi,Dietmar Hömberg,Chantal Landry
Publisher : Springer
Page : 348 pages
File Size : 43,5 Mb
Release : 2017-10-30
Category : Science
ISBN : 9783319639574

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Math for the Digital Factory by Luca Ghezzi,Dietmar Hömberg,Chantal Landry Pdf

This volume provides a unique collection of mathematical tools and industrial case studies in digital manufacturing. It addresses various topics, ranging from models of single production technologies, production lines, logistics and workflows to models and optimization strategies for energy consumption in production. The digital factory represents a network of digital models and simulation and 3D visualization methods for the holistic planning, realization, control and ongoing improvement of all factory processes related to a specific product. In the past ten years, all industrialized countries have launched initiatives to realize this vision, sometimes also referred to as Industry 4.0 (in Europe) or Smart Manufacturing (in the United States). Its main goals are • reconfigurable, adaptive and evolving factories capable of small-scale production • high-performance production, combining flexibility, productivity, precision and zero defects • energy and resource efficiency in manufacturing None of these goals can be achieved without a thorough modeling of all aspects of manufacturing together with a multi-scale simulation and optimization of process chains; in other words, without mathematics. To foster collaboration between mathematics and industry in this area the European Consortium for Mathematics in Industry (ECMI) founded a special interest group on Math for the Digital Factory (M4DiFa). This book compiles a selection of review papers from the M4DiFa kick-off meeting held at the Weierstrass Institute for Applied Analysis and Stochastics in Berlin, Germany, in May 2014. The workshop aimed at bringing together mathematicians working on modeling, simulation and optimization with researchers and practitioners from the manufacturing industry to develop a holistic mathematical view on digital manufacturing. This book is of interest to practitioners from industry who want to learn about important mathematical concepts, as well as to scientists who want to find out about an exciting new area of application that is of vital importance for today’s highly industrialized and high-wage countries.