A new trajectory reversing method for the estimation of asymptotic stability regions

A new method is presented for estimating regions of asymptotic stability for autonomous nonlinear systems. The method applies to systems that can be proven to be non-oscillatory, using a suitable Lyapunov technique. It is especially effective for second-order systems that possess several equilibrium...

Full description

Saved in:
Bibliographic Details
Published in:International journal of control 1995-04, Vol.61 (4), p.917-932
Main Authors: NOLDUS, E., LOCCUFIER, M.
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control system analysis
Control theory. Systems
Exact sciences and technology
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A new method is presented for estimating regions of asymptotic stability for autonomous nonlinear systems. The method applies to systems that can be proven to be non-oscillatory, using a suitable Lyapunov technique. It is especially effective for second-order systems that possess several equilibrium states for which the regions of attraction must be found. The determination of the regions of asymptotic stability requires the explicit computation of a Lyapunov function and the determination by backward numerical integration of a limited number of trajectories. The obtained estimates are close approximations of the exact regions of asymptotic stability of the system's stable equilibria.
ISSN:0020-7179
1366-5820
DOI:10.1080/00207179508921938