Abstract
In this paper, robustness bounds for the perturbations of continuous-time systems to ensure the stability of their discretized counterparts are developed. Both zero-order hold and P-step matrix integrators are considered. The effect of the sampling time on the robustness bounds is studied via examples. To determine how well a simulated system will retain the robustness properties of the continuous-time system being simulated, a new criterion for the selection of the simulation method and time step is introduced. Both implicit and explicit robustness measures for sampled-data systems are obtained.
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De Abreu-García, J.A., Niu, X. & Cabrera, L.A. Analysis and Optimization of Stability Robustness Bounds for Discretized Systems. Journal of Optimization Theory and Applications 99, 331–358 (1998). https://doi.org/10.1023/A:1021770126405
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DOI: https://doi.org/10.1023/A:1021770126405