Referenced Items are not available for this document.
A method for estimating the domain of attraction of an asymptotically stable equilibrium point of a nonlinear dynamical system and for deriving an upper bound on the time of convergence in the estimated domain is presented. It is based on a set of Lyapunov functions. Defined on nested regions in the state space. The estimated domain, obtained as the union of a subset of these regions, is based on a local Lyapunov-like condition for the convergence of the solution in each region to its inner boundary. A bound on the time of convergence within the estimated domain is given by the sum of the local bounds. This concept is implemented using a class of regions whose boundaries are described by Fourier series
Published in:
Automatic Control, IEEE Transactions on
(Volume:43
,
Issue:
8
)
Date of Publication: Aug 1998
- Page(s):
- 1179 - 1184
- ISSN :
- 0018-9286
- INSPEC Accession Number:
- 6002282
- Digital Object Identifier :
- 10.1109/9.704997
- Date of Current Version :
- 06 August 2002
- Issue Date :
- Aug 1998
- Sponsored by :
- IEEE Control Systems Society
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