Differential Inclusions
Language: English
Published by Springer Berlin Heidelberg Jan 2012, 2012
- Softcover
- New
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.
AbeBooks seller since January 11, 2012
Condition: New
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This item is printed on demand - it takes 3-4 days longer - Neuware -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 system at time t, but also on variations of observations state B(x(t)) of the state. This is a particular case of an implicit differential equation f(t, x(t), x'(t)) = 0 which can be regarded as a differential inclusion ( ), where the right-hand side F is defined by F(t, x)= {vlf(t, x, v)=O}. During the 60's and 70's, a special class of differential inclusions was thoroughly investigated: those of the form X'(t)E - A(x(t)), x (0) =xo where A is a 'maximal monotone' map. This class of inclusions contains the class of 'gradient inclusions' which generalize the usual gradient equations x'(t) = -VV(x(t)), x(O)=xo when V is a differentiable 'potential'. 2 Introduction There are many instances when potential functions are not differentiable. 364 pp. Englisch. …
Seller Inventory # 9783642695148
- Title
- Differential Inclusions
- Author
- A. Cellina
- Publisher
- Springer Berlin Heidelberg Jan 2012
- Publication year
- 2012
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 3642695140
- ISBN 13
- 9783642695148
- Item weight
- 552 grams
- Dimensions
- 235x155x20 mm
"Synopsis" may belong to another edition of this title.
BuchWeltWeit Ludwig Meier e.K.
Bergisch Gladbach, Germany
AbeBooks seller since January 11, 2012
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