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Reachability and Controllability for Time-Invariant Discrete-Time Systems

In: State Space and Input-Output Linear Systems

Author

Listed:
  • David F. Delchamps

    (Cornell University, School of Electrical Engineering)

Abstract

In this section, we extend the development in §13 to cover time-invariant discrete-time state space systems. The proofs of some of the results are a bit easier than the proofs of their continuous-time analogues; much of the technical machinery which we shall require is already at hand. As in §13, various definitions and results are stated and proved both in the context of “abstract” discrete-time linear systems, as per Definition 6.2, and in the setting of realizations.

Suggested Citation

  • David F. Delchamps, 1998. "Reachability and Controllability for Time-Invariant Discrete-Time Systems," Springer Books, in: State Space and Input-Output Linear Systems, chapter 14, pages 187-194, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-3816-4_15
    DOI: 10.1007/978-1-4612-3816-4_15
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