Generating Series for Interconnected Analytic Nonlinear Systems

@article{Gray2005GeneratingSF,
  title={Generating Series for Interconnected Analytic Nonlinear Systems},
  author={W. Steven Gray and Yaqin Li},
  journal={SIAM J. Control and Optimization},
  year={2005},
  volume={44},
  pages={646-672}
}
Given two analytic nonlinear input-output systems represented as Fliess operators, four system interconnections are considered in a unified setting: the parallel connection, product connection, cascade connection, and feedback connection. In each case, the corresponding generating series is produced and conditions for the convergence of the corresponding Fliess operator are given. In the process, an existing notion of a composition product for formal power series has its set of known properties… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-10 of 28 references

Algebraic Differential Equations and Nonlinear Control Systems

  • Y. Wang
  • Doctoral dissertation, Rutgers University, New…
  • 1990
Highly Influential
4 Excerpts

An algebraic approach to nonlinear functional expansions

  • M. Fliess, M. Lamnabhi, F. Lamnabhi-Lagarrigue
  • IEEE Trans. Circuits Systems, 30
  • 1983
Highly Influential
15 Excerpts

A new symbolic calculus for the response of nonlinear systems

  • M. Lamnabhi
  • Systems Control Lett., 2
  • 1982
Highly Influential
13 Excerpts

Développements fonctionnels et calcul symbolique non commutatif

  • M. Fliess
  • Outils et Modèles Mathématiques pour L…
  • 1981
Highly Influential
13 Excerpts

Les Séries Rationnelles et Leurs Langages

  • J. Berstel, C. Reutenauer
  • Springer-Verlag, Paris
  • 1984
Highly Influential
3 Excerpts

On composite formal power series

  • J. Chaumat, A.-M. Chollet
  • Trans. AMS, 353
  • 2001
1 Excerpt

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