Electronic Resource
Springer
Circuits, systems and signal processing
5 (1986), S. 449-464
ISSN:
1531-5878
Source:
Springer Online Journal Archives 1860-2000
Topics:
Electrical Engineering, Measurement and Control Technology
Notes:
Abstract We study the asymptotic stability of a singularly perturbed nonlinear time-invariant systemS ɛv , which has three vastly different time scales. The systemS ɛv is approximated by three simpler systems over different time intervals. We give a straightforward proof of the fact that the asymptotic stability ofS ɛv is guaranteed when the equilibrium points of the three simpler systems are exponentially stable and when the parametersɛ andν are sufficiently small.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01599620
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