Abstract
In this chapter we present an axiomatic operator theoretic framework for the system and control problems to be considered later. The chapter begins with the construction of the extended space, He, which serves as the input-output space He, introduce casuality, and define stability.
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References, Notes, and Remarks
Feintuch, A., Saeks R.System Theory: A Hilbert Space ApproachNew York, Academic Press, 1982.
Feintuch A., Graphs of time-varying linear systems and coprime factorizationJ. Math. Anal. Applic.163(1) (1992), 79–85.
Vidyasagar M.Control System Synthesis: A Factorization ApproachCambridge, Mass., MIT Press, 1985.
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© 1998 Springer Science+Business Media New York
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Feintuch, A. (1998). Linear Systems. In: Robust Control Theory in Hilbert Space. Applied Mathematical Sciences, vol 130. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0591-3_5
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DOI: https://doi.org/10.1007/978-1-4612-0591-3_5
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6829-1
Online ISBN: 978-1-4612-0591-3
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