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Stability of Input-Output Linear Systems

In: State Space and Input-Output Linear Systems

Author

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  • David F. Delchamps

    (Cornell University, School of Electrical Engineering)

Abstract

The stability theory of input-output linear systems has developed largely over the last forty years. Recently, the theory has begun to take on a sophisticated functional analytic flavor. It has been recognized that many well-known stability definitions and results may be expressed conveniently in terms of linear mappings between normal vector spaces of input and output functions. In what follows, we shall endeavor to follow a rudimentary version of this functional analytic approach to input-output stability theory.

Suggested Citation

  • David F. Delchamps, 1998. "Stability of Input-Output Linear Systems," Springer Books, in: State Space and Input-Output Linear Systems, chapter 24, pages 350-364, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-3816-4_25
    DOI: 10.1007/978-1-4612-3816-4_25
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