{'fraction_non_alphanumeric': 0.015717092337917484, 'fraction_numerical': 0.0, 'mean_word_length': 5.219512195121951, '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}}
An extended version of scaled small gain condition

Small gain theorem plays an important role in the fields of control. In order to reduce the conservatism results from ignoring the structure information on uncertainty, the scaled small gain condition was usually applied in practice. However, these conditions also have great conservatism in some cases. In this note, an extended version of scaled small gain condition with less conservatism is presented firstly, and the proposition is proved subsequently.