2005•Unpublished venueRequires access

Estimates of the singular perturbation parameter for stability, controllability, and observability of linear systems

S.M. Shahruz, Andy Packard

Abstract

The dynamics of singularly perturbed systems can be approximated by the dynamics of the corresponding reduced-order and the boundary layer subsystems for sufficiently small values of the singular perturbation parameter. Estimates of the singular perturbation parameter are obtained so that, if the singular perturbation parameter is less than these estimates, the stability, controllability, and observability of linear singularly perturbed systems can be deduced from those of the corresponding reduced-order and boundary layer subsystems.>

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Key concepts: Observability, Controllability, Singular perturbation, Perturbation (astronomy), Mathematics, Control theory (sociology), Boundary layer, Applied mathematics