Abstract
This paper deals with the problem of realization of infinitedimensional constant linear continuous-time systems. A framework, suitable for treating this problem, is introduced, including the definitions of input/output maps, systems, weighting patterns, etc. The theorem of the existence and uniqueness of canonical realizations is then proved. Central emphasis is placed on the introduction of a new notion of observability, called topological observability.
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This research was supported in part by US Army Research Grant DAA 29-77-G-0225 and US Air Force Grant AFOSR 76-3034 Mod. B while the author was at the Center for Mathematical System Theory, University of Florida, Gainsville, FL 32611, USA.
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Yamamoto, Y. Realization theory of infinite-dimensional linear systems. Part I. Math. Systems Theory 15, 55–77 (1981). https://doi.org/10.1007/BF01786973
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DOI: https://doi.org/10.1007/BF01786973