Multiple time scales for nonlinear systems
- Cite this article as:
- Silva-Madriz, R. & Sastry, S.S. Circuits Systems and Signal Process (1986) 5: 153. doi:10.1007/BF01600193
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In this paper we extend the results on the multiple time-scale structure for linear autonomous systems of the form
(cf. Coderchet al. ) 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.
$$\dot x = A( \in )x$$
© Birkhäuser Boston, Inc. 1986