By
Sahra Sedigh
Description
For more than forty years, the equation y’(t) = Ay(t) + u(t) in Banach spaces has been used as model for optimal control processes described
by partial differential equations, in particular heat and diffusion processes. Many of the outstanding open problems, however, have remained
open until recently, and some have never been solved. This book is a survey of all results know to the author, with emphasis on very
recent results (1999 to date).
The book is restricted to linear equations and two particular problems (the time optimal problem,
the norm optimal problem) which results in a more focused and concrete treatment. As experience shows, results on linear equations are
the basis for the treatment of their semilinear counterparts, and techniques for the time and norm optimal problems can often be generalized
to more general cost functionals.
The main object of this book is to be a state-of-the-art monograph on the theory of the time
and norm optimal controls for y’(t) = Ay(t) + u(t) that ends at the very latest frontier of research, with open problems and indications
for future research.
Key features:
· Applications to optimal diffusion processes.
· Applications to optimal heat propagation
processes.
· Modelling of optimal processes governed by partial
differential equations.
· Complete bibliography.
·
Includes the latest research on the subject.
· Does not assume anything from the reader except
basic functional analysis.
· Accessible to researchers and advanced graduate
students alike
Included in series
North-Holland Mathematics Studies
Audience:
Researchers in infinite dimensional control theory.
