Viability Theory

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Viability Theory

Author : Jean-Pierre Aubin
Publisher : Springer Science & Business Media
ISBN 13 : 0817649107
Total Pages : 558 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Viability Theory by : Jean-Pierre Aubin

Download or read book Viability Theory written by Jean-Pierre Aubin and published by Springer Science & Business Media. This book was released on 2009-05-28 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book is a compendium of the state of knowledge about viability...Mathematically, the book should be accessible to anyone who has had basic graduate courses in modern analysis and functional analysis...The concepts are defined and many proofs of the requisite results are reproduced here, making the present book essentially self-contained." —Bulletin of the AMS "Because of the wide scope, the book is an ideal reference for people encountering problems related to viability theory in their research...It gives a very thorough mathematical presentation. Very useful for anybody confronted with viability constraints." —Mededelingen van het Wiskundig Genootschap

Viability Theory

Author : Jean-Pierre Aubin
Publisher : Springer Science & Business Media
ISBN 13 : 3642166849
Total Pages : 812 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Viability Theory by : Jean-Pierre Aubin

Download or read book Viability Theory written by Jean-Pierre Aubin and published by Springer Science & Business Media. This book was released on 2011-07-13 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt: Viability theory designs and develops mathematical and algorithmic methods for investigating the adaptation to viability constraints of evolutions governed by complex systems under uncertainty that are found in many domains involving living beings, from biological evolution to economics, from environmental sciences to financial markets, from control theory and robotics to cognitive sciences. It involves interdisciplinary investigations spanning fields that have traditionally developed in isolation. The purpose of this book is to present an initiation to applications of viability theory, explaining and motivating the main concepts and illustrating them with numerous numerical examples taken from various fields.

Differential Inclusions

Author : J.-P. Aubin
Publisher : Springer Science & Business Media
ISBN 13 : 3642695124
Total Pages : 353 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Differential Inclusions by : J.-P. Aubin

Download or read book Differential Inclusions written by J.-P. Aubin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: A great impetus to study differential inclusions came from the development of Control Theory, i.e. of dynamical systems x'(t) = f(t, x(t), u(t)), x(O)=xo "controlled" by parameters u(t) (the "controls"). Indeed, if we introduce the set-valued map F(t, x)= {f(t, x, u)}ueu then solutions to the differential equations (*) are solutions to the "differen tial inclusion" (**) x'(t)EF(t, x(t)), x(O)=xo in which the controls do not appear explicitely. Systems Theory provides dynamical systems of the form d x'(t)=A(x(t)) dt (B(x(t))+ C(x(t)); x(O)=xo in which the velocity of the state of the system depends not only upon the x(t) of the system at time t, but also on variations of observations state B(x(t)) of the state. This is a particular case of an implicit differential equation f(t, x(t), x'(t)) = 0 which can be regarded as a differential inclusion (**), where the right-hand side F is defined by F(t, x)= {vlf(t, x, v)=O}. During the 60's and 70's, a special class of differential inclusions was thoroughly investigated: those of the form X'(t)E - A(x(t)), x (0) =xo where A is a "maximal monotone" map. This class of inclusions contains the class of "gradient inclusions" which generalize the usual gradient equations x'(t) = -VV(x(t)), x(O)=xo when V is a differentiable "potential". 2 Introduction There are many instances when potential functions are not differentiable

Viability and Resilience of Complex Systems

Author : Guillaume Deffuant
Publisher : Springer
ISBN 13 : 3642204236
Total Pages : 227 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Viability and Resilience of Complex Systems by : Guillaume Deffuant

Download or read book Viability and Resilience of Complex Systems written by Guillaume Deffuant and published by Springer. This book was released on 2011-08-03 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: One common characteristics of a complex system is its ability to withstand major disturbances and the capacity to rebuild itself. Understanding how such systems demonstrate resilience by absorbing or recovering from major external perturbations requires both quantitative foundations and a multidisciplinary view on the topic. This book demonstrates how new methods can be used to identify the actions favouring the recovery from perturbations. Examples discussed include bacterial biofilms resisting detachment, grassland savannahs recovering from fire, the dynamics of language competition and Internet social networking sites overcoming vandalism. The reader is taken through an introduction to the idea of resilience and viability and shown the mathematical basis of the techniques used to analyse systems. The idea of individual or agent-based modelling of complex systems is introduced and related to analytically tractable approximations of such models. A set of case studies illustrates the use of the techniques in real applications, and the final section describes how one can use new and elaborate software tools for carrying out the necessary calculations. The book is intended for a general scientific audience of readers from the natural and social sciences, yet requires some mathematics to gain a full understanding of the more theoretical chapters. It is an essential point of reference for those interested in the practical application of the concepts of resilience and viability

Dynamic Economic Theory

Author : Jean-Pierre Aubin
Publisher : Springer
ISBN 13 : 9783642645426
Total Pages : 510 pages
Book Rating : 4.6/5 (454 download)

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Book Synopsis Dynamic Economic Theory by : Jean-Pierre Aubin

Download or read book Dynamic Economic Theory written by Jean-Pierre Aubin and published by Springer. This book was released on 2013-11-13 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to provide economists with mathematical tools necessary to handle the concepts of evolution under uncertainty and adaption arising in economics, pursuing the Arrow-Debreu-Hahn legacy. It applies the techniques of viability theory to the study of economic systems evolving under contingent uncertainty, faced with scarcity constraints, and obeying various implementation of the inertia principle. The book illustrates how new tools can be used to move from static analysis, built on concepts of optima, equilibria and attractors to a contingent dynamic framework.

Tychastic Measure of Viability Risk

Author : Jean-Pierre Aubin
Publisher : Springer
ISBN 13 : 3319081292
Total Pages : 136 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Tychastic Measure of Viability Risk by : Jean-Pierre Aubin

Download or read book Tychastic Measure of Viability Risk written by Jean-Pierre Aubin and published by Springer. This book was released on 2014-08-06 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a forecasting mechanism of the price intervals for deriving the SCR (solvency capital requirement) eradicating the risk during the exercise period on one hand and measuring the risk by computing the hedging exit time function associating with smaller investments the date until which the value of the portfolio hedges the liabilities on the other. This information, summarized under the term “tychastic viability measure of risk” is an evolutionary alternative to statistical measures, when dealing with evolutions under uncertainty. The book is written by experts in the field and the target audience primarily comprises research experts and practitioners.

Viability of Hybrid Systems

Author : G. Labinaz
Publisher : Springer Science & Business Media
ISBN 13 : 9400725213
Total Pages : 250 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Viability of Hybrid Systems by : G. Labinaz

Download or read book Viability of Hybrid Systems written by G. Labinaz and published by Springer Science & Business Media. This book was released on 2011-10-02 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of viability of hybrid systems is considered in this work. A model for a hybrid system is developed including a means of including three forms of uncertainty: transition dynamics, structural uncertainty, and parametric uncertainty. A computational basis for viability of hybrid systems is developed and applied to three control law classes. An approach is developed for robust viability based on two extensions of the controllability operator. The three-tank example is examined for both the viability problem and robust viability problem. The theory is applied through simulation to an active magnetic bearing system and to a batch polymerization process showing that viability can be satisfied in practice. The problem of viable attainability is examined based on the controllability operator approach introduced by Nerode and colleagues. Lastly, properties of the controllability operator are presented.

Dynamic Economic Theory

Author : Jean-Pierre Aubin
Publisher : Springer
ISBN 13 :
Total Pages : 546 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Dynamic Economic Theory by : Jean-Pierre Aubin

Download or read book Dynamic Economic Theory written by Jean-Pierre Aubin and published by Springer. This book was released on 1997-05-20 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to provide economists with mathematical tools necessary to handle the concepts of evolution under uncertainty and adaption arising in economics, pursuing the Arrow-Debreu-Hahn legacy. It applies the techniques of viability theory to the study of economic systems evolving under contingent uncertainty, faced with scarcity constraints, and obeying various implementation of the inertia principle. The book illustrates how new tools can be used to move from static analysis, built on concepts of optima, equilibria and attractors to a contingent dynamic framework.

The Philosophy of Metacognition

Author : Joëlle Proust
Publisher : OUP Oxford
ISBN 13 : 0191662887
Total Pages : 379 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis The Philosophy of Metacognition by : Joëlle Proust

Download or read book The Philosophy of Metacognition written by Joëlle Proust and published by OUP Oxford. This book was released on 2013-11-28 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Does metacognition, i.e. the capacity to form epistemic self-evaluations about one's current cognitive performance, derive from a mindreading capacity, or does it rely, at least in part, on sui generis informational processes? In The Philosophy of Metacognition Joëlle Proust provides a powerful defense of the second position. Drawing on discussions of empirical evidence from comparative, developmental, and experimental psychology, as well as from neuroscience, and on conceptual analyses, she purports to show that, in contrast with analytic metacognition, procedural metacognition does not need to involve metarepresentations. Procedural metacognition seems to be available to some non-humans (some primates and rodents). Proust further claims that metacognition is essentially related to mental agency, i.e. cognitive control and monitoring. 'Self-probing' is equivalent to a self-addressed question about the feasibility of a mental action ('Am I able to remember this word?'). 'Post-evaluating' is a way of asking oneself whether a given mental action has been successfully completed ('Is this word the one I was looking for?'). Neither question need be articulated conceptually for a feeling of knowing or of being right to be generated, or to drive epistemic control. Various issues raised by the contrast of a procedural, experience-based metacognition, with an analytic, concept-based metacognition are explored, such as whether each is expressed in a different representational format, their sensitivity to different epistemic norms, and the existence of a variety of types of epistemic acceptance.

Viability, Invariance and Applications

Author : Ovidiu Carja
Publisher : Elsevier
ISBN 13 : 0080521665
Total Pages : 357 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Viability, Invariance and Applications by : Ovidiu Carja

Download or read book Viability, Invariance and Applications written by Ovidiu Carja and published by Elsevier. This book was released on 2007-07-18 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is an almost self-contained presentation of the most important concepts and results in viability and invariance. The viability of a set K with respect to a given function (or multi-function) F, defined on it, describes the property that, for each initial data in K, the differential equation (or inclusion) driven by that function or multi-function) to have at least one solution. The invariance of a set K with respect to a function (or multi-function) F, defined on a larger set D, is that property which says that each solution of the differential equation (or inclusion) driven by F and issuing in K remains in K, at least for a short time.The book includes the most important necessary and sufficient conditions for viability starting with Nagumo’s Viability Theorem for ordinary differential equations with continuous right-hand sides and continuing with the corresponding extensions either to differential inclusions or to semilinear or even fully nonlinear evolution equations, systems and inclusions. In the latter (i.e. multi-valued) cases, the results (based on two completely new tangency concepts), all due to the authors, are original and extend significantly, in several directions, their well-known classical counterparts. New concepts for multi-functions as the classical tangent vectors for functions Provides the very general and necessary conditions for viability in the case of differential inclusions, semilinear and fully nonlinear evolution inclusions Clarifying examples, illustrations and numerous problems, completely and carefully solved Illustrates the applications from theory into practice Very clear and elegant style

Quantitative Conservation Biology

Author : William F. Morris
Publisher : Sinauer Associates Incorporated
ISBN 13 : 9780878935468
Total Pages : 480 pages
Book Rating : 4.9/5 (354 download)

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Book Synopsis Quantitative Conservation Biology by : William F. Morris

Download or read book Quantitative Conservation Biology written by William F. Morris and published by Sinauer Associates Incorporated. This book was released on 2002-01-01 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this book is to provide practical, intelligible, and intuitive explanations of population modelling to empirical ecologists and conservation biologists. Modelling methods that do not require large amounts of data (typically unavailable for endangered species) are emphasised. As such, the book is appropriate for undergraduate and graduate students interested in quantitative conservation biology, managers charged with preserving endangered species, and, in short, for any conservation biologist or ecologist seeking to better understand the analysis and modelling of population data.

Viability and Resilience of Complex Systems

Author : Guillaume Deffuant
Publisher : Springer Science & Business Media
ISBN 13 : 3642204228
Total Pages : 227 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Viability and Resilience of Complex Systems by : Guillaume Deffuant

Download or read book Viability and Resilience of Complex Systems written by Guillaume Deffuant and published by Springer Science & Business Media. This book was released on 2011-08-03 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: One common characteristics of a complex system is its ability to withstand major disturbances and the capacity to rebuild itself. Understanding how such systems demonstrate resilience by absorbing or recovering from major external perturbations requires both quantitative foundations and a multidisciplinary view on the topic. This book demonstrates how new methods can be used to identify the actions favouring the recovery from perturbations. Examples discussed include bacterial biofilms resisting detachment, grassland savannahs recovering from fire, the dynamics of language competition and Internet social networking sites overcoming vandalism. The reader is taken through an introduction to the idea of resilience and viability and shown the mathematical basis of the techniques used to analyse systems. The idea of individual or agent-based modelling of complex systems is introduced and related to analytically tractable approximations of such models. A set of case studies illustrates the use of the techniques in real applications, and the final section describes how one can use new and elaborate software tools for carrying out the necessary calculations. The book is intended for a general scientific audience of readers from the natural and social sciences, yet requires some mathematics to gain a full understanding of the more theoretical chapters. It is an essential point of reference for those interested in the practical application of the concepts of resilience and viability

Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces

Author : Mikhail Kamenskii
Publisher : Walter de Gruyter
ISBN 13 : 9783110169898
Total Pages : 248 pages
Book Rating : 4.1/5 (698 download)

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Book Synopsis Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces by : Mikhail Kamenskii

Download or read book Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces written by Mikhail Kamenskii and published by Walter de Gruyter. This book was released on 2001 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of set-valued maps and of differential inclusion is developed in recent years both as a field of his own and as an approach to control theory. The book deals with the theory of semilinear differential inclusions in infinite dimensional spaces. In this setting, problems of interest to applications do not suppose neither convexity of the map or compactness of the multi-operators. These assumption implies the development of the theory of measure of noncompactness and the construction of a degree theory for condensing mapping. Of particular interest is the approach to the case when the linear part is a generator of a condensing, strongly continuous semigroup. In this context, the existence of solutions for the Cauchy and periodic problems are proved as well as the topological properties of the solution sets. Examples of applications to the control of transmission line and to hybrid systems are presented.

Hybrid Systems: Computation and Control

Author : Claire J. Tomlin
Publisher : Springer
ISBN 13 : 3540458735
Total Pages : 492 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Hybrid Systems: Computation and Control by : Claire J. Tomlin

Download or read book Hybrid Systems: Computation and Control written by Claire J. Tomlin and published by Springer. This book was released on 2003-07-31 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 5th International Workshop on Hybrid Systems: Computation and Control, HSCC 2002, held in Stanford, California, USA, in March 2002. The 33 revised full papers presented were carefully reviewed and selected from 73 submissions. All current issues in hybrid systems are addressed including formal models and methods and computational representations, algorithms and heuristics, computational tools, and innovative applications.

Hybrid Systems: Computation and Control

Author : Rajeev Alur
Publisher : Springer
ISBN 13 : 3540247432
Total Pages : 686 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Hybrid Systems: Computation and Control by : Rajeev Alur

Download or read book Hybrid Systems: Computation and Control written by Rajeev Alur and published by Springer. This book was released on 2004-02-24 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 7th Workshop on Hybrid Systems: Computation and Control (HSCC 2004) held in Philadelphia, USA, from March 25 to 27, 2004. The annual workshop on hybrid systems attracts researchers from academia and industry interested in modeling, analysis, and implemen- tion of dynamic and reactive systems involving both discrete and continuous behaviors. The previous workshops in the HSCC series were held in Berkeley, USA(1998),Nijmegen,TheNetherlands(1999),Pittsburgh,USA(2000),Rome, Italy (2001), Palo Alto, USA (2002), and Prague, Czech Republic (2003). This year’s HSCC was organized in cooperation with ACM SIGBED (Special Interest Group on Embedded Systems) and was technically co-sponsored by the IEEE Control Systems Society. The program consisted of 4 invited talks and 43 regular papers selected from 117 regular submissions. The program covered topics such as tools for analysis and veri?cation, control and optimization, modeling, and engineering applica- ons, as in past years, and emerging directions in programming language support and implementation. The program also contained one special session focusing on the interplay between biomolecular networks, systems biology, formal methods, andthecontrolofhybridsystems.

Advances in Nonlinear Dynamics and Control: A Report from Russia

Author : A. B. Kurzhanskiĭ
Publisher : Springer Science & Business Media
ISBN 13 : 9780817637361
Total Pages : 296 pages
Book Rating : 4.6/5 (373 download)

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Book Synopsis Advances in Nonlinear Dynamics and Control: A Report from Russia by : A. B. Kurzhanskiĭ

Download or read book Advances in Nonlinear Dynamics and Control: A Report from Russia written by A. B. Kurzhanskiĭ and published by Springer Science & Business Media. This book was released on 1993 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work presents overviews of Soviet research on nonlinear dynamics, particularly as applied to uncertain systems in a deterministic setting. The book concentrates on the three main branches of uncertain dynamics: differential games; evolution, estimation and control; and robust stabilization.

SDGs in the European Region

Author : Walter Leal Filho
Publisher : Springer Nature
ISBN 13 : 3031174615
Total Pages : 1576 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis SDGs in the European Region by : Walter Leal Filho

Download or read book SDGs in the European Region written by Walter Leal Filho and published by Springer Nature. This book was released on 2023-08-31 with total page 1576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume describes the thinking on sustainable development and a variety of initiatives across Europe, illustrating regional efforts to foster sustainable communities and ecological and social innovation. It contains various contributions which showcase examples of thinking, economic and social structures and in consumption and production patterns needed, to implement the SDGs. This book is part of the "100 papers to accelerate the implementation of the UN Sustainable Development Goals initiative".