Abstract
In this chapter we study the three fundamental system properties observability, autonomy, and controllability. We characterize these algebraically and in terms of the behavior’s trajectories, and derive Kalman’s famous results on state space systems as special cases. Both controllability and autonomy of a behavior can be described algebraically via the torsion module of the system module.
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Oberst, U., Scheicher, M., Scheicher, I. (2020). Observability, Autonomy, and Controllability of Behaviors. In: Linear Time-Invariant Systems, Behaviors and Modules. Differential-Algebraic Equations Forum. Springer, Cham. https://doi.org/10.1007/978-3-030-43936-1_4
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DOI: https://doi.org/10.1007/978-3-030-43936-1_4
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Online ISBN: 978-3-030-43936-1
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