EAN: 9783319626451

OPTIMIZATION AND CONTROL OF DYNAMIC SYSTEMS - H...

This book offers a comprehensive presentation of optimization and polyoptimization methods. The
examples included are taken from various domains: mechanics  electrical engineering  economy 
informatics  and automatic control  making the book especially attractive. With the motto from
general abstraction to practical examples  it presents the theory and applications of
optimization step by step  from the function of one variable and functions of many variables
with constraints  to infinite dimensional problems (calculus of variations)  a continuation of
which are optimization methods of dynamical systems  that is  dynamic programming and the
maximum principle  and finishing with polyoptimization methods. It includes numerous practical
examples  e.g.  optimization of hierarchical systems  optimization of time-delay systems 
rocket stabilization modeled by balancing a stick on a finger  a simplified version of the
journey to the moon  optimization of hybrid systems and of the electrical long transmission
line  analytical determination of extremal errors in dynamical systems of the rth order 
multicriteria optimization with safety margins (the skeleton method)  and ending with a dynamic
model of bicycle. The book is aimed at readers who wish to study modern optimization methods 
from problem formulation and proofs to practical applications illustrated by inspiring concrete
examples.

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