{'fraction_non_alphanumeric': 0.026225769669327253, 'fraction_numerical': 0.0011402508551881414, 'mean_word_length': 5.552238805970149, '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}}
Complete stability for constant-coefficient distributed delay systems: A unified frequency-sweeping approach

This paper is dedicated to the complete stability analysis of constant-coefficient distributed delay systems (constant-coefficient DDSs), inspired by that the complete stability problem of linear time delay systems with point-wise delays was recently solved within a new frequency-sweeping framework [8]. We apply the relevant results to constant-coefficient DDSs taking care of the unique technical issues. It will be interesting to see that these technical issues can be effectively covered in the frequency-sweeping framework, which is the main contribution of this paper. As a consequence, the frequency-sweeping framework is proved to be a unified approach for the complete stability problem of constant-coefficient DDSs. Finally illustrative examples are given.