Abstract
Our aim in this paper is to show how a number of interesting system-theoretic problems fit very naturally within the framework of representation theory. We will start from the rather trivial and well-known fact that a continuous-time bilinear system can be regarded as a finite-dimensional, linear representation of a semigroup, namely, the semigroup of all input functions (the semigroup operation being concatenation).
Work partially supported by N.S.F. Grant No. GP-37488.
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References
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Sussmann, H.J. (1976). Semigroup Representations, Bilinear Approximation of Input-Output Maps, and Generalized Inputs. In: Marchesini, G., Mitter, S.K. (eds) Mathematical Systems Theory. Lecture Notes in Economics and Mathematical Systems, vol 131. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-48895-5_12
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DOI: https://doi.org/10.1007/978-3-642-48895-5_12
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