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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Dynamic Impulse Systems - Theory and Applications (Paperback, Softcover reprint of hardcover 1st ed. 1997)
Loot Price: R2,873
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Dynamic Impulse Systems - Theory and Applications (Paperback, Softcover reprint of hardcover 1st ed. 1997)
Series: Mathematics and Its Applications, 394
Expected to ship within 10 - 15 working days
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A number of optimization problems of the mechanics of space flight
and the motion of walking robots and manipulators, and of quantum
physics, eco momics and biology, have an irregular structure:
classical variational proce dures do not formally make it possible
to find optimal controls that, as we explain, have an impulse
character. This and other well-known facts lead to the necessity
for constructing dynamical models using the concept of a gener
alized function (Schwartz distribution). The problem ofthe
systematization of such models is very important. In particular,
the problem of the construction of the general form of linear and
nonlinear operator equations in distributions is timely. Another
problem is related to the proper determination of solutions of
equations that have nonlinear operations over generalized functions
in their description. It is well-known that "the value of a
distribution at a point" has no meaning. As a result the problem to
construct the concept of stability for generalized processes
arises. Finally, optimization problems for dynamic systems in
distributions need finding optimality conditions. This book
contains results that we have obtained in the above-mentioned
directions. The aim of the book is to provide for electrical and
mechanical engineers or mathematicians working in applications, a
general and systematic treat ment of dynamic systems based on
up-to-date mathematical methods and to demonstrate the power of
these methods in solving dynamics of systems and applied control
problems."
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