This book is a self-contained elementary study for nonsmooth
analysis and optimization, and their use in solution of nonsmooth
optimal control problems. The first part of the book is concerned
with nonsmooth differential calculus containing necessary tools for
nonsmooth optimization. The second part is devoted to the methods
of nonsmooth optimization and their development. A proximal bundle
method for nonsmooth nonconvex optimization subject to nonsmooth
constraints is constructed. In the last part nonsmooth optimization
is applied to problems arising from optimal control of systems
covered by partial differential equations. Several practical
problems, like process control and optimal shape design problems
are considered.
General
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