Differential Inclusions: Set-Valued Maps and Viability Theory

by Jean-Pierre Aubin and A. Cellina

Book Overview

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...

• Format: Paperback
• Language: English
• ISBN: 3642695140
• ISBN13: 9783642695148
• Release Date: January 2012
• Publisher: Springer
• Length: 342 Pages
• Weight: 1.12 lbs.
• Dimensions: 0.8" x 6.1" x 9.2"