Realization theory and quadratic optimal controllers for systems defined over Banach and Frechet algebrasIt is noted that recent work by Kamen (1979) on the stability of half-plane digital filters shows that the problem of the existence of a feedback law also arises for other Banach algebras in applications. This situation calls for a realization theory and stabilizability criteria for systems defined over Banach for Frechet algebra A. Such a theory is developed here, with special emphasis placed on the construction of finitely generated realizations, the existence of coprime factorizations for T(s) defined over A, and the solvability of the quadratic optimal control problem and the associated algebraic Riccati equation over A.
Document ID
19820042031
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Byrnes, C. I. (Harvard University Cambridge, MA, United States)