Observability for Time-Invariant Continuous-Time Systems

David F. Delchamps
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David F. Delchamps: Cornell University, School of Electrical Engineering

Chapter 15 in State Space and Input-Output Linear Systems, 1998, pp 195-201 from Springer

Abstract: 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.

Date: 1998
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DOI: 10.1007/978-1-4612-3816-4_16

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