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Author: Laurent Hardouin Publisher: Foundations and Trends (R) in Systems and Control ISBN: 9781680835441 Category : Languages : en Pages : 134
Book Description
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: Laurent Hardouin Publisher: Foundations and Trends (R) in Systems and Control ISBN: 9781680835441 Category : Languages : en Pages : 134
Book Description
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: Carl Wunsch Publisher: Cambridge University Press ISBN: 1139456938 Category : Science Languages : en Pages : 357
Book Description
Addressing the problems of making inferences from noisy observations and imperfect theories, this 2006 book introduces many inference tools and practical applications. Starting with fundamental algebraic and statistical ideas, it is ideal for graduate students and researchers in oceanography, climate science, and geophysical fluid dynamics.
Author: Peter Butkovič Publisher: Springer Science & Business Media ISBN: 1849962995 Category : Mathematics Languages : en Pages : 281
Book Description
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: William M. McEneaney Publisher: Springer Science & Business Media ISBN: 9780817635343 Category : Language Arts & Disciplines Languages : en Pages : 268
Book Description
The central focus of this book is the control of continuous-time/continuous-space nonlinear systems. Using new techniques that employ the max-plus algebra, the author addresses several classes of nonlinear control problems, including nonlinear optimal control problems and nonlinear robust/H-infinity control and estimation problems. Several numerical techniques are employed, including a max-plus eigenvector approach and an approach that avoids the curse-of-dimensionality. The max-plus-based methods examined in this work belong to an entirely new class of numerical methods for the solution of nonlinear control problems and their associated Hamilton–Jacobi–Bellman (HJB) PDEs; these methods are not equivalent to either of the more commonly used finite element or characteristic approaches. Max-Plus Methods for Nonlinear Control and Estimation will be of interest to applied mathematicians, engineers, and graduate students interested in the control of nonlinear systems through the implementation of recently developed numerical methods.
Author: Qianchuan Zhao Publisher: Springer Nature ISBN: 3030925110 Category : Computers Languages : en Pages : 274
Book Description
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: J. William Helton Publisher: SIAM ISBN: 0898714400 Category : Technology & Engineering Languages : en Pages : 340
Book Description
H-infinity control made considerable strides toward systematizing classical control. This bookaddresses how this extends to nonlinear systems.
Author: Robert L. Williams, II Publisher: John Wiley & Sons ISBN: 0471735558 Category : Technology & Engineering Languages : en Pages : 485
Book Description
The book blends readability and accessibility common to undergraduate control systems texts with the mathematical rigor necessary to form a solid theoretical foundation. Appendices cover linear algebra and provide a Matlab overivew and files. The reviewers pointed out that this is an ambitious project but one that will pay off because of the lack of good up-to-date textbooks in the area.
Author: Stephen Boyd Publisher: SIAM ISBN: 9781611970777 Category : Mathematics Languages : en Pages : 203
Book Description
In this book the authors reduce a wide variety of problems arising in system and control theory to a handful of convex and quasiconvex optimization problems that involve linear matrix inequalities. These optimization problems can be solved using recently developed numerical algorithms that not only are polynomial-time but also work very well in practice; the reduction therefore can be considered a solution to the original problems. This book opens up an important new research area in which convex optimization is combined with system and control theory, resulting in the solution of a large number of previously unsolved problems.
Author: Ralf Stetter Publisher: Springer ISBN: 3030128466 Category : Technology & Engineering Languages : en Pages : 217
Book Description
This book summarizes strategies, methods, algorithms, frameworks and systems for the fault-tolerant design and control of automated vehicles and processes. Intelligent systems may be able to accommodate inevitable faults, but this ability requires targeted design processes and advanced control systems. This book explains the respective elements involved in automated vehicles and processes. It provides detailed descriptions of fault-tolerant design, not offered in the existent scientific literature. With regard to fault-tolerant control, the focus is on innovative methods, which can accommodate not only uncertainties, but also shared and flexible redundant elements. The book is intended to present a concise guide for researchers in the field of fault-tolerant design and control, and to provide concrete insights for design and control engineers working in the field of automated vehicles and processes.
Author: Laurent Hardouin
Author: Laurent Hardouin
Author: Carl Wunsch
Author: Peter Butkovič
Author: William M. McEneaney
Author: Qianchuan Zhao
Author: J. William Helton
Author: Robert L. Williams, II
Author: Stephen Boyd
Author: Yousef Saad
Author: Ralf Stetter