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Étalé Systems

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Book cover Tautological Control Systems

Part of the book series: SpringerBriefs in Electrical and Computer Engineering ((BRIEFSCONTROL))

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Abstract

The development of tautological control systems in the preceding chapter was focussed in large part on connecting this new class of control systems with more common existing classes of systems. In particular, our notion of a trajectory is a quite natural adaptation to our framework of the usual notion of a trajectory for a control system. However, it turns out that there is a limitation of this sort of definition in terms of being able to use the full power of the tautological control system framework. In this chapter we overcome this limitation, and at the same time more fully integrate the sheaf formalism into the way in which we think about tautological control systems.

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References

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  5. Stacks Project Authors (2014) Stacks Project. http://stacks.math.columbia.edu

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Correspondence to Andrew D. Lewis .

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Lewis, A.D. (2014). Étalé Systems. In: Tautological Control Systems. SpringerBriefs in Electrical and Computer Engineering(). Springer, Cham. https://doi.org/10.1007/978-3-319-08638-5_6

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