Circuits, Systems and Signal Processing

, Volume 5, Issue 1, pp 153–169 | Cite as

Multiple time scales for nonlinear systems

  • R. Silva-Madriz
  • S. S. Sastry
Article

Abstract

In this paper we extend the results on the multiple time-scale structure for linear autonomous systems of the form
$$\dot x = A( \in )x$$
(cf. Coderchet al. [1]) to nonlinear autonomous systems. Our main result is in obtaining conditions under which the linearized system and the nonlinear system around an equilibrium point have the same time-scale structure.

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References

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Copyright information

© Birkhäuser Boston, Inc. 1986

Authors and Affiliations

  • R. Silva-Madriz
    • 1
    • 2
  • S. S. Sastry
    • 1
    • 2
  1. 1.Department of Electrical Engineering and Computer SciencesUniversity of CaliforniaBerkeleyUSA
  2. 2.The Electronics Research LaboratoryUniversity of CaliforniaBerkeleyUSA

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