Differential Inclusions: Set-Valued Maps and Viability Theory

by Jean-Pierre Aubin and A. Cellina

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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"

Related Subjects

Math Mathematics Science & Math

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Differential Inclusions: Set-Valued Maps and Viability Theory

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