Multiparameter singular perturbations of linear systems with multiple time scales

Authors:
G. S. Ladde;D. D. iljak
Affiliations:
Department of Mathematics, University of Texas at Arlington, Arlington, TX 76019, U.S.A.;School of Engineering, University of Santa Clara, Santa Clara, CA 95053, U.S.A.
Venue:
Automatica (Journal of IFAC)
Year:
1983

Citing 2
Cited 1

Paper: Control of linear systems with multiparameter singular perturbations

Automatica (Journal of IFAC)
Asymptotic stability of nonlinear multiparameter singularly perturbed systems

Automatica (Journal of IFAC)

Singular perturbations and time-scale methods in control theory: Survey 1976-1983

Automatica (Journal of IFAC)

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Abstract

A joint multitime scale-multiparameter singular perturbation is formulated and resolved in the context of linear time-varying systems. An interesting feature of the solution procedure is a hierarchial scheme of aggregating and arranging of the groups of small parameters according to their order. The scheme provides a suitable framework for establishing qualitative properties of multitime scale systems.