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Hybrid dynamical systems, both continuous and discrete dynamics and variables, have attracted considerable interest recently. This emerging area is found at the interface of control theory and computer engineering, focusing on the analogue and digital aspects of systems and devices. They are essential for advances in modern digital- controller technology. "Qualitative Theory of Hybrid Dynamical Systems" provides a thorough development and systematic presentation of the foundations and framework for hybrid dynamical systems. The presentation offers an accessible, but precise, development of the mathematical models, conditions for existence of limit cycles, and criteria of their stability. The book largely concentrates on the case of discretely controlled continuous-time systems and their relevance for modeling aspects of flexible manufacturing systems and dynamically routed queuing networks. Features and topics: *differential automata*development and use of the concept "cyclic linear differential automata" (CLDA)*switched single-server flow networks coverage*application to specific models of manufacturing systems and queuing networks*select collection of open problems for the subject*self-contained presentation of topics, with the necessary background This new book is an excellent resource for the study and analysis of hybrid dynamical systems used in systems and control engineering. Researchers, postgraduates and professionals in control engineering and computer engineering will find the book an up-to-date development of the relevant new concepts and tools.

Ordinary differential equations --- Electronic controllers --- Digital control systems --- Analog electronic systems --- Applied mathematics. --- Engineering mathematics. --- System theory. --- Control engineering. --- Robotics. --- Mechatronics. --- Applications of Mathematics. --- Systems Theory, Control. --- Control, Robotics, Mechatronics. --- Mechanical engineering --- Microelectronics --- Microelectromechanical systems --- Automation --- Machine theory --- Control engineering --- Control equipment --- Control theory --- Engineering instruments --- Programmable controllers --- Systems, Theory of --- Systems science --- Science --- Engineering --- Engineering analysis --- Mathematical analysis --- Philosophy --- Mathematics

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Optimal Control brings together many of the important advances in 'nonsmooth' optimal control over the last several decades concerning necessary conditions, minimizer regularity, and global optimality conditions associated with the Hamilton–Jacobi equation. The book is largely self-contained and incorporates numerous simplifications and unifying features for the subject’s key concepts and foundations. Features and Topics: * a comprehensive overview is provided for specialists and nonspecialists * authoritative, coherent, and accessible coverage of the role of nonsmooth analysis in investigating minimizing curves for optimal control * chapter coverage of dynamic programming and the regularity of minimizers * explains the necessary conditions for nonconvex problems This book is an excellent presentation of the foundations and applications of nonsmooth optimal control for postgraduates, researchers, and professionals in systems, control, optimization, and applied mathematics. ----- Each chapter contains a well-written introduction and notes. They include the author's deep insights on the subject matter and provide historical comments and guidance to related literature. This book may well become an important milestone in the literature of optimal control.—Mathematical Reviews This remarkable book presents Optimal Control seen as a natural development of Calculus of Variations so as to deal with the control of engineering devices. ... Thanks to a great effort to be self-contained, it renders accessibly the subject to a wide audience. Therefore, it is recommended to all researchers and professionals interested in Optimal Control and its engineering and economic applications. It can serve as an excellent textbook for graduate courses in Optimal Control (with special emphasis on Nonsmooth Analysis). —Automatica The book may be an essential resource for potential readers, experts in control and optimization, as well as postgraduates and applied mathematicians, and it will be valued for its accessibility and clear exposition.—Applications of Mathematics.

Automatic control --- Control theory --- Mathematical models --- Mathematics. --- System theory. --- Calculus of variations. --- Control engineering. --- Systems Theory, Control. --- Control. --- Calculus of Variations and Optimal Control; Optimization. --- Systems theory. --- Mathematical optimization. --- Control and Systems Theory. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Systems, Theory of --- Systems science --- Science --- Isoperimetrical problems --- Variations, Calculus of --- Control engineering --- Control equipment --- Engineering instruments --- Automation --- Programmable controllers --- Philosophy --- Automatic control - Mathematical models

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The 9th Belgian-French-German Conference on Optimization has been held in Namur (Belgium) on September 7-11, 1998. This volume is a collection of papers presented at this Conference. Originally, this Conference was a French-German Conference but this year, in accordance with the organizers' wishes, a third country, Belgium, has joined the founding members of the Conference. Hence the name: Belgian­ French-German Conference on Optimization. Since the very beginning, the purpose of these Conferences has been to bring together researchers working in the area of Optimization and partic­ ularly to encourage young researchers to present their work. Most of the participants come from the organizing countries. However the general ten­ dancy is to invite outside researchers to attend the meeting. So this year, among the 101 participants at this Conference, twenty researchers came from other countries. The general theme of the Conference is everything that concerns the area of Optimization without specification of particular topics. So theoretical as­ pects of Optimization, in addition to applications and algorithms of Opti­ mization, will be developed. However, and this point was very important for the organizers, the Conference must retain its convivial character. No more than two parallel sessions are organized. This would allow useful contacts between researchers to be promoted. The editors express their sincere thanks to all those who took part in this Conference. Their invaluable discussions have made this volume possible.

Mathematical statistics --- Mathematical optimization --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Operations Research --- AA / International- internationaal --- 305.976 --- NBB congres --- Algoritmen. Optimisatie. --- Conferences - Meetings --- Algoritmen. Optimisatie --- Operations research. --- Decision making. --- Calculus of variations. --- System theory. --- Operations Research/Decision Theory. --- Calculus of Variations and Optimal Control; Optimization. --- Systems Theory, Control. --- Systems, Theory of --- Systems science --- Science --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management --- Management decisions --- Choice (Psychology) --- Problem solving --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Philosophy --- Decision making --- Programmation (mathématiques)

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Our ontology as well as our grammar are, as Quine affirms, ineliminable parts of our conceptual contribution to our theory of the world. It seems impossible to think of enti­ ties, individuals and events without specifying and constructing, in advance, a specific language that must be used in order to speak about these same entities. We really know only insofar as we regiment our system of the world in a consistent and adequate way. At the level of proper nouns and existence functions we have, for instance, a standard form of a regimented language whose complementary apparatus consists of predicates, variables, quantifiers and truth functions. If, for instance, the discoveries in the field of Quantum Mechanics should oblige us, in the future, to abandon the traditional logic of truth functions, the very notion of existence, as established until now, will be chal­ lenged. These considerations, as developed by Quine, introduce us to a conceptual perspective like the "internal realist" perspective advocated by Putnam whose principal aim is, for cer­ tain aspects, to link the philosophical approaches developed respectively by Quine and Wittgenstein. Actually, Putnam conservatively extends the approach to the problem of ref­ erence outlined by Quine: in his opinion, to talk of "facts" without specifying the language to be used is to talk of nothing.

Cognitie --- Cognitieve wetenschap --- Cognition --- Cognitive science --- Sciences cognitives --- Wetenschap [Cognitieve ] --- Cognition. --- Cognitive science. --- Cognitive psychology. --- System theory. --- Computers. --- Artificial intelligence. --- Epistemology. --- Cognitive Psychology. --- Systems Theory, Control. --- Theory of Computation. --- Artificial Intelligence. --- Epistemology --- Theory of knowledge --- Philosophy --- Psychology --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Digital computer simulation --- Electronic data processing --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Cybernetics --- Calculators --- Cyberspace --- Systems, Theory of --- Systems science --- Science --- Psychology, Cognitive

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It can be said that the concept of performance of social systems is one of the most relevant, since all social systems - from the family, through the enterprise, to the Nation state - are only interesting in obtaining as high a performance as possible. The difficulties encountered when dealing with the concept of performance have been recognized and few books until now ventured to tackle the task, mainly because of the following three big problems: the lack of a theoretical-operational model; the lack of valid data; and the lack of computer facilities. Today these obstacles have been overcome and this is the first book based on different systemic perspectives (value theory, modelling, observation and quantification) which offers the possibility of defining and working out the concept. The book should be of great interest to sociologists, political scientists, economists, organizational theorists, managers and politicians.

Social systems --- Social values. --- System theory. --- Evaluation. --- -System theory --- Social values --- #SBIB:35H202 --- #SBIB:35H437 --- #SBIB:003.IO --- Values --- Systems, Theory of --- Systems science --- Science --- Sociology --- System theory --- Evaluation --- Overheidsmanagement: prestatiemanagement --- Beleidssectoren: sociale zekerheid --- Philosophy --- Business mathematics. --- Information technology. --- Business—Data processing. --- Management. --- Political science. --- Sociology. --- Business Mathematics. --- IT in Business. --- Political Science. --- Sociology, general. --- Social theory --- Social sciences --- Administration --- Civil government --- Commonwealth, The --- Government --- Political theory --- Political thought --- Politics --- Science, Political --- State, The --- Industrial relations --- Organization --- IT (Information technology) --- Technology --- Telematics --- Information superhighway --- Knowledge management --- Arithmetic, Commercial --- Business --- Business arithmetic --- Business math --- Commercial arithmetic --- Finance --- Mathematics