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Differential Inclusions
Aubin, Jean-Pierre; Cellina, Arrigo
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Description for Differential Inclusions
Paperback. Series: Grundlehren der Mathematischen Wissenschaften. Num Pages: 355 pages, biography. BIC Classification: PBK. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 19. Weight in Grams: 551.
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 Theory provides dynamical systems of the form d x'(t)=A(x(t)) dt (B(x(t))+ C(x(t)); x(O)=xo in which the velocity of the state of the system depends not only upon the x(t) of the ... Read more
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 Theory provides dynamical systems of the form d x'(t)=A(x(t)) dt (B(x(t))+ C(x(t)); x(O)=xo in which the velocity of the state of the system depends not only upon the x(t) of the ... Read more
Product Details
Format
Paperback
Publication date
2012
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
355
Condition
New
Series
Grundlehren der Mathematischen Wissenschaften
Number of Pages
342
Place of Publication
Berlin, Germany
ISBN
9783642695148
SKU
V9783642695148
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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