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Several recent results in the area of robust asymptotic stability of hybrid
systems show that the concept of a generalized solution to a hybrid system
is suitable for the analysis and design of hybrid control systems.
In this paper, we show that such generalized solutions are exactly the
solutions that arise when measurement noise in the system is taken into account.
This work is concerned with observability in Discrete Event Systems (DES) modeled by Interpreted Petri Nets (IPN). Three major contributions are presented. First, a novel geometric characterization of observability based on input-output equivalence relations on the marking sequences sets is presented. Later, to show that this characterization is well posed, it is applied to linear continuous systems, leading to classical characterizations of observability for continuous systems. Finally, this paper...
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