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Robustness analysis of two-step integrators with uncertainty in the system model

✍ Scribed by Xiaoru Niu; Jose Alexis de Abreu-Garcia; Tom T. Hartley

Publisher: Elsevier Science
Year: 1992
Tongue: English
Weight: 539 KB
Volume: 329
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(92)90089-y

No coin nor oath required. For personal study only.

✦ Synopsis

Quantitative bounds for the nonlinear perturbation of linear time-invariant continuous-time systems simulated using two-step matrix integrators are obtained. These bounds ensure that systems being simulated using two-step integrators remain stable under such perturbations.

The effJ;?ct of the sampling time T on the bounds is investigated via numerical examples.

Nomenclature R" R"""' J.(A) P(A) o,ax(A) o,,,(A) A>0

llxll n-dimensional Euclidean space n x m real matrix space eigenvalue of A spectral radius of A maximum singular value of A : o,.,(A) = {IiA(AAT)} minimum singular value of A : o,,,

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