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Singular Perturbation Margin (SPM) is a stability margin for Nonlinear systems established from the view of the singular perturbation (time-scale separation) parameter epsilon. Using the Bauer-Fike, the generalized Bauer-Fike theorems and the corollaries, Theorem 1 in this paper provides an assessment method for the SPM of a Linear Time-Invariant system, with an error on the order of a fractional...
Singular Perturbation Margin (SPM) is a stability margin for Nonlinear (NL) systems established from the view of the singular perturbation (time-scale separation) parameter. This paper provides two SPM assessment methods: quantitative and qualitative methods for Linear Slowly Time-Varying (LSTV) systems. Quantitative method offers a more accurate estimated SPM than the qualitative method, while the...
In this paper, we propose a Generalized Gain Margin (GGM) as a gain margin like stability metric for Nonlinear (NL) systems under regular perturbation. Four timedomain GGM assessment methods for Linear Time-Invariant (LTI) systems are provided, and the GGM equivalence between linear and NL systems, for both time-invariant and time-varying cases, at the equilibrium point is established, which makes...
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