The infinity norm as a measure has been thoroughly embedded in control theory during the last few years. Although the infinity norm has been used in control for a long time (a concept like bounded real is nothing else than an infinity norm bound), there was a gigantic surge in research efforts towards the minimization of the infinity norm of the closed loop system in the last 10 years. A fairly complete solution is now available. This book tries to bring the reader up to date with respect to the state space approach to the infinity control problem. This book contains numerous references towards other approaches to this theory which the reader can use as a starting point for further research. The book starts at a basic level with the prerequisites being graduate level courses on linear algebra and state space systems. On the other hand, it includes the most general solutions available at the time this book was written.
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