Asymptotic stability of nonlinear multiparameter singularly perturbed systems

Authors:
Hassan K. Khalil
Affiliations:
Department of Electrical Engineering and Systems Science, Michigan State University, East Lansing, MI 48824, U.S.A.
Venue:
Automatica (Journal of IFAC)
Year:
1981

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Abstract

Sufficient conditions are derived to guarantee the asymptotic stability of a class of nonlinear singularly perturbed systems with several perturbation parameters of the same order. Estimates of the region of attraction and bounds on the small parameters are obtained.