Simplexity

Simplexity

Author: Alain Berthoz

Publisher: Odile Jacob

Published: 2018-12-20

Total Pages: 187

ISBN-13: 2738147453

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“Simplexity, as I understand it, is the range of solutions living organisms have found, despite the complexity of natural processes, to enable the brain to prepare an action and plan for the consequences of it. These solutions are simplifying principles that enable the processing of information or situations, by taking into account past experience and anticipating the future. They are neither caricatures, shortcuts, or summaries. They are new ways of asking questions, sometimes at the cost of occasional detours, in order to achieve faster, more elegant, more effective actions.” A. B. As Alain Berthoz demonstrates in this profoundly original book, simplicity is never easy; it requires suppressing, selecting, connecting, thinking, in order to then act in the best way possible. And what if we, in turn, are inspired by the living world to process the complexity that surrounds us? Alain Berthoz is professor at the Collège de France where he is co-director of the Laboratoire de physiologie de la perception et de l’action. [Laboratory for the physiology of perception and action]. He is a member of the French Academy of Sciences, and is the author of Le Sens du mouvement [The Brain's Sense of Movement] and La Décision [Emotion and Reason].


On-line Estimation and Adaptive Control of Bioreactors

On-line Estimation and Adaptive Control of Bioreactors

Author: G. Bastin

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 394

ISBN-13: 1483290980

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This book deals with monitoring and control of biotechnological processes. Different methods are proposed which are based on the nonlinear structure of the process and do not require any a priori knowledge of the fermentation parameters. The theoretical stability and convergence properties of the proposed algorithms are analysed and their performances are illustrated by simulation results and, in many instances, by real life experiments. The concept of software sensors is introduced; these are algorithms based on the nonlinear model of the process and designed for on-line estimation of the biological variables and/or the fermentation parameters. In order to deal with process nonstationarities and parameter uncertainties, reference is made to adaptive estimation and control techniques.The book is the result of an intensive joint research effort by the authors during the last decade. It is intended as a graduate level text for students of bioengineering as well as a reference text for scientists and engineers involved in the design and optimization of bioprocesses.


The Brain's Sense of Movement

The Brain's Sense of Movement

Author: Alain Berthoz

Publisher: Harvard University Press

Published: 2000

Total Pages: 356

ISBN-13: 9780674009806

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This interpretation of perception and action allows Alain Berthoz to focus on psychological phenomena: proprioception and kinaesthesis; the mechanisms that maintain balance and co-ordination actions; and basic perceptual and memory processes involved in navigation.


Semigroups for Delay Equations

Semigroups for Delay Equations

Author: András Bátkai

Publisher: A K Peters, Ltd.

Published: 2005

Total Pages: 259

ISBN-13: 9781568812434

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In most physical, chemical, biological and economic phenomena it is quite natural to assume that the system not only depends on the present state but also on past occurrences. These circumstances are mathematically described by partial differential equations with delay. This book presents, in a systematic fashion, how delay equations can be studied in Lp-history spaces.Appendices offering supplementary information and a comprehensive index make this book an ideal introduction and research tool for mathematicians, chemists, biologists and economists.


One-Parameter Semigroups for Linear Evolution Equations

One-Parameter Semigroups for Linear Evolution Equations

Author: Klaus-Jochen Engel

Publisher: Springer Science & Business Media

Published: 2006-04-06

Total Pages: 609

ISBN-13: 0387226427

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This book explores the theory of strongly continuous one-parameter semigroups of linear operators. A special feature of the text is an unusually wide range of applications such as to ordinary and partial differential operators, to delay and Volterra equations, and to control theory. Also, the book places an emphasis on philosophical motivation and the historical background.


Geometric Control Theory

Geometric Control Theory

Author: Velimir Jurdjevic

Publisher: Cambridge University Press

Published: 1997

Total Pages: 516

ISBN-13: 0521495024

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Geometric control theory is concerned with the evolution of systems subject to physical laws but having some degree of freedom through which motion is to be controlled. This book describes the mathematical theory inspired by the irreversible nature of time evolving events. The first part of the book deals with the issue of being able to steer the system from any point of departure to any desired destination. The second part deals with optimal control, the question of finding the best possible course. An overlap with mathematical physics is demonstrated by the Maximum principle, a fundamental principle of optimality arising from geometric control, which is applied to time-evolving systems governed by physics as well as to man-made systems governed by controls. Applications are drawn from geometry, mechanics, and control of dynamical systems. The geometric language in which the results are expressed allows clear visual interpretations and makes the book accessible to physicists and engineers as well as to mathematicians.


Positive 1D and 2D Systems

Positive 1D and 2D Systems

Author: Tadeusz Kaczorek

Publisher: Springer Science & Business Media

Published: 2002

Total Pages: 450

ISBN-13: 9781852335083

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This text is devoted to the positive multivariable 1D and 2D linear, time-invariant, finite-dimensional system. The book is based on the author's lectures for Ph.D. students, delivered at Warsaw University of Technology in the academic year 1999/2000. The book consists of two parts; the first part is devoted to the 1D positive linear systems and the second to the 2D positive linear systems described by the Rosser model and the Fornasini-Marchesini models. Definitions, basic properties and theorems concerning positive matrices and graphs are presented; the externally and internally positive linear continuous-time and discrete-time linear systems are considered; and the reachability, controlability and observability of positive linear systems are discussed. The realisation problem for positive 1D and 2D systems is also considered, and the 2D models of externally and internally positive and their properties and controllability and minimum energy control of positive 2D systems are investigated.


Emotion and Reason

Emotion and Reason

Author: A. Berthoz

Publisher: Oxford University Press, USA

Published: 2006

Total Pages: 0

ISBN-13: 9780198566267

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(Play It Like It Is). Matching folio to the album DMB created in tribute to LeRoi Moore, their saxophonist who died in a 2008 accident. The All Music Guide calls it DMB's "richest, and quite possibly best" album to date. 12 songs: Alligator Pie * Baby Blue * Dive In * Funny the Way It Is * Lying in the Hands of God * Seven * Shake Me like a Monkey * Spaceman * Squirm * Time Bomb * Why I Am * You & Me.


Fractional Linear Systems and Electrical Circuits

Fractional Linear Systems and Electrical Circuits

Author: Tadeusz Kaczorek

Publisher: Springer

Published: 2014-10-13

Total Pages: 260

ISBN-13: 3319113615

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This monograph covers some selected problems of positive and fractional electrical circuits composed of resistors, coils, capacitors and voltage (current) sources. The book consists of 8 chapters, 4 appendices and a list of references. Chapter 1 is devoted to fractional standard and positive continuous-time and discrete-time linear systems without and with delays. In chapter 2 the standard and positive fractional electrical circuits are considered and the fractional electrical circuits in transient states are analyzed. Descriptor linear electrical circuits and their properties are investigated in chapter 3, while chapter 4 is devoted to the stability of fractional standard and positive linear electrical circuits. The reachability, observability and reconstructability of fractional positive electrical circuits and their decoupling zeros are analyzed in chapter 5. The fractional linear electrical circuits with feedbacks are considered in chapter 6. In chapter 7 solutions of minimum energy control for standard and fractional systems with and without bounded inputs is presented. In chapter 8 the fractional continuous-time 2D linear systems described by the Roesser type models are investigated.


Delay Equations

Delay Equations

Author: Odo Diekmann

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 547

ISBN-13: 1461242061

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The aim here is to provide an introduction to the mathematical theory of infinite dimensional dynamical systems by focusing on a relatively simple - yet rich - class of examples, delay differential equations. This textbook contains detailed proofs and many exercises, intended both for self-study and for courses at graduate level, as well as a reference for basic results. As the subtitle indicates, this book is about concepts, ideas, results and methods from linear functional analysis, complex function theory, the qualitative theory of dynamical systems and nonlinear analysis. The book provides the reader with a working knowledge of applied functional analysis and dynamical systems.