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Titlebook: Linear Time-Invariant Systems, Behaviors and Modules; Ulrich Oberst,Martin Scheicher,Ingrid Scheicher Book 2020 The Editor(s) (if applicab

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Compensators,e .or .) such that the feedback or closed-loop behavior is well-posed and T-stable for a suitable monoid T of stable polynomials in the sense of Chap. .. In Sect. ., we characterize the existence of a stabilizing compensator and then parameterize all of them. Our main emphasis is on the case where t
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Observers,uantities in order to produce an estimate for the desired information. Typically, the estimate is required to approximate the desired signal asymptotically, a concept that we incorporate by using the stability theory from Chap. .. The setting includes, but is not restricted to, classical state obser
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,Canonical State Space Realizations of IO Systems via Gröbner Bases,ization, which is unique up to similarity. In this chapter, we use the Gröbner basis theory to . the . and . of a behavior. If the behavior is controllable, we also construct the . and .. The canonical realizations depend only on the 30 given IO behavior and on a chosen term order in the Gröbner bas
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