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Observability for Time-Invariant Continuous-Time Systems

In: State Space and Input-Output Linear Systems

Author

Listed:
  • David F. Delchamps

    (Cornell University, School of Electrical Engineering)

Abstract

We remarked in §13 that the notions of reachability and controllability serve to enhance our understanding of how the inputs to a state space linear system may be used to influence the state of the system. A particular system state is reachable if it is, in a sense, “strongly coupled” to the input through the state transition mapping. A system has a reachable state space if all the states are coupled to the input in this fashion; taking the “natural mode” viewpoint described in §8, we might say that a system has a reachable state space if and only if each of its natural modes may be “excited” by a suitable choice of input.

Suggested Citation

  • David F. Delchamps, 1998. "Observability for Time-Invariant Continuous-Time Systems," Springer Books, in: State Space and Input-Output Linear Systems, chapter 15, pages 195-201, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-3816-4_16
    DOI: 10.1007/978-1-4612-3816-4_16
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