{'fraction_non_alphanumeric': 0.02592087312414734, 'fraction_numerical': 0.0, 'mean_word_length': 5.273504273504273, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
WORST CASE ANALYSIS OF A SIMPLE MIMO MASS-SPRING-DAMPER SYSTEM

Abstract This paper considers the application of the structured singular value, μ, and the skewed structured singular value, abbreviated “skew μ”, to the analysis of a (deceptively) simple MIMO mass-spring-damper system. This example highlights some pertinent outstanding μ analysis questions, namely the effect of strictly real, possibly repeated parameters and the limitation of classical grid-based methods. It is shown that by transforming the original μ problem and using skew μ to calculate the worst case that more reliable and certifiably safe answers to the analysis question are determined. A comparison with more conventional μ analysis methods is presented.