Viability Theory

Author: Jean-Pierre Aubin
Editor: Springer Science & Business Media
ISBN: 9783642166846
File Size: 33,84 MB
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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.
Viability Theory
Language: en
Pages: 803
Authors: Jean-Pierre Aubin, Alexandre M. Bayen, Patrick Saint-Pierre
Categories: Science
Type: BOOK - Published: 2011-07-13 - Publisher: Springer Science & Business Media

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
Differential Inclusions
Language: en
Pages: 342
Authors: J.-P. Aubin, A. Cellina
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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
Viability Theory
Language: en
Pages: 830
Authors: Jean-Pierre AUBIN, Alexandre M. Bayen, Patrick Saint-Pierre
Categories: Science
Type: BOOK - Published: 2013-01-02 - Publisher: Springer

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
Intergenerational Wellbeing and Public Policy
Language: en
Pages: 247
Authors: Girol Karacaoglu, Jacek B. Krawczyk, Anita King
Categories: Political Science
Type: BOOK - Published: 2019-01-28 - Publisher: Springer

The distinctive contribution of this book is the formulation of an integrated social, environmental, and economic framework for public policy. This contribution is realised through investigations and conclusions in the following four domains: a formal stylised model that provides a platform for an integrated approach to public policy; a policy-informing
Viability Theory
Language: en
Pages: 543
Authors: Jean Pierre Aubin
Categories: Differential inclusions
Type: BOOK - Published: 1991-01-01 - Publisher:

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