viability theory

Viability Theory


New Directions,


Jean-Pierre Aubin, Alexandre Bayen, Patrick Saint-Pierre

Springer Verlag, 2nd Edition, 2011, XXI, 830 p. 141 illus., 20 in color.

Hardcover, ISBN, 978 3 642 16683 9

Springer Website

About the book:

It provides an initiation into the applications of viability theory. It includes new results and breakthrough mathematical theory and applications, It features many numerical examples taken from various fields.

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.

Keywords: Complex Systems - Control Theory - Evolutionary Systems - Hamilton-Jacobi Equations - Viability Theory

Related subjects: Applications - Control Engineering - Economic Theory - Game Theory / Mathematical

Methods - Theoretical Computer Science

Alexandre M. Bayen

Department of Civil & Environmental Engineering
Department of Electrical Engineering and Computer Sciences
University of California, Berkeley