In the summer of 2020, I worked with Professor Adam Wierman and graduate student Yiheng Lin at the Rigorous Systems Research Group (RSRG) at Caltech, on a research project that was funded by the Associate's Caltech SURF Fellowship. My research with Prof. Wierman focused on using perturbation analysis to prove stability bounds for model-predictive control on linear time-varying (LTV) systems in which the predictions of the disturbances are noisy, and extending this to linear feedback policies on the regularized online balanced descent (R-OBD) algorithm. We also showed more general results, which is published in our work ("Online Adaptive Controller Selection in Time-Varying Systems: No-Regret via Contractive Perturbation", Y. Lin, J. Preiss,