The author presents a topological approach to the problem of robustness
of dynamic feedback control. First the gap-topology is introduced as a
distance measure between systems. In this topology, stability of the
closed loop system is a robust property. Furthermore, it is possible to
solve the problem of optimally robust control in this setting. The book
can be divided into two parts. The first chapters form an introduction
to the topological approach towards robust stabilization. Although of
theoretical nature, only general mathematical knowledge is required from
the reader. The second part is devoted to compensator design. Several
algorithms for computing an optimally robust controller in the
gap-topology are presented and worked out. Therefore we hope that the
book will not only be of interest to theoreticians, but that also
practitioners will benefit from it.