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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.

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.

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 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.

'This book is a must-read for parents and educators who want to refocus children's attention to one of the greatest secrets to long-term happiness - discovering the extraordinary in the ordinary' - Jessica Joelle Alexander, co-author of The Danish Way of Parenting Children of the last twenty years have grown up in an increasingly frenzied and demanding environment so that, on one hand, education has been rendered more complicated, and on the other, the essentials have been lost to view. In order to ensure their future success, parents often feel that they must fill their children's schedules with endless activities that cause leisure, spontaneous activity, and the experience of nature, beauty and silence, to fade out of their lives. This veritable race toward adulthood distances children more and more from the natural laws of childhood. A constant stream of loud and flashy stimuli disturbs the only true and sustainable learning that exists in them: that of calmly and quietly discovering the world for themselves and at their own pace, with a sense of wonder that goes beyond mere curiosity for the unknown or interest in novelty. In a world such as this, it can be a daunting task for a parent or educator of young children to discern how to best raise their children. Catherine L'Ecuyer offers clarity, drawing attention to the findings of many studies of the last few decades on the effects of screen use, overstimulation and mechanistic approaches to education on young children, and suggests time exploring the real world, more silence and the 'Wonder Approach' as remedies. Learning should be a wondrous journey guided by a deep reflection on what the natural laws of childhood require: respect for children's pace and rhythms, innocence, sense of mystery and thirst for beauty.