Abstract
This paper deals with exact observability and stability for a class of infinite-dimensional bilinear systems. First we show that the bilinear systems are exactly observable for any positive bounded input signal. Second we prove that given such an input signal the open-loop bilinear systems (or time-varying linear systems) are exponentially stable. A strong motivation of our study comes from chemical engineering processes described by partial differential equations.
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Xu, C.Z. Exact observability and exponential stability of infinite-dimensional bilinear systems. Math. Control Signal Systems 9, 73–93 (1996). https://doi.org/10.1007/BF01211519
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DOI: https://doi.org/10.1007/BF01211519