Exact observability and exponential stability of infinite-dimensional bilinear systems (Q1924417)

The paper contains results on stability and exact observability for a class of bilinear infinite-dimensional control systems. The class of systems under consideration contains examples which are of importance in chemical process engineering. By using results from the theory of linear evolution systems, it is shown that, for any given essentially bounded and essentially strictly positive control signal, any system in the class is exponentially stable and exactly observable.