Robust Stabilization in the Gap-topology

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The author presents a topological approach to the problem of robustness of dynamic feedback control. Gap-topology is introduced as a distance measure between systems. In this topology, stability of the closed loop system is a robust property and it is possible to solve the problem of optimally robust control in this setting. The book is divided into two parts, the first chapters forming an introduction to the topological approach towards robust stabilization and the second chapter offering material on compensator design. Only general mathematical knowledge is required of the reader. Several algorithms for computing an optimally robust controller in the gap-topology are presented and worked out. This monograph on linear systems theory, robustness problems in control theory, H-infinity control is intended for the use of graduate students, researchers and practitioners.