Abstract
Given a nonlinear control system, one can view its output function as a signal, parametrized by the primitives of the input functions. This signal can be formally described by its Fliess’ power series, that is a formal power series on noncommuting variables. The temporal behaviour of the system can be derived from this symbolic description by a transform, that we call “Evaluation transform” and that generalizes the inverse Laplace transform to the nonlinear area. We developpe here the basic tools of that symbolic calculus by introducing a “kernel” for our Evaluation transform. This kernel can be viewed as some “temporal memory” of the system in the Volterra’s meaning as well as in the programmation meaning.
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References
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© 1990 Springer-Verlag
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Minh, V.H.N., Jacob, G. (1990). Evaluation transform and symbolic calculus for nonlinear control systems. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systes. Lecture Notes in Control and Information Sciences, vol 144. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0120061
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DOI: https://doi.org/10.1007/BFb0120061
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