Abstract
We introduce a new device, based on a geometrical characterization of pulses, which allows us to extend the applicability of functional expansions as a tool for dealing with pulse driven systems. Basic to our method is the use of certain closed forms whose periods coincide with the spacing between stable equilibrium points of a nonlinear system. By incorporating the integrals of such forms in a functional expansion it is possible to shape the domain of convergence, adapting it to specific situations.
This work was supported in part by the National Science Foundation under Engineering Research Center Program, NSF D CDR-8803012, by the US Army Research Office under grant DAAL03-86-K-0171 (Center for Intelligent Control Systems), and by the Office of Naval Research under Grant N00014-90-J-1887
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References
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Dedicated to George Zames on the occasion of his 60th birthday.
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© 1995 Springer-Verlag London Limited
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Brockett, R. (1995). Pulses, periods, and cohomological terms in functional expansions. In: Francis, B.A., Tannenbaum, A.R. (eds) Feedback Control, Nonlinear Systems, and Complexity. Lecture Notes in Control and Information Sciences, vol 202. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0027668
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DOI: https://doi.org/10.1007/BFb0027668
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