{'fraction_non_alphanumeric': 0.02288021534320323, 'fraction_numerical': 0.0013458950201884253, 'mean_word_length': 5.358974358974359, '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}}
Balanced truncation for linear switched systems with time-varying delay: Continuous-time case

This paper investigates the problem of model reduction based on balanced truncation method for continuous-time linear switched systems with time-varying delay. For a given stable system, our attention is focused on the construction of reduced-order model, which not only approximates the original system well but also is translated into a linear lower-dimensional system. Specifically in the paper, we use the generalized dissipation inequalities that is in conjunction with a suitably defined storage function in [7] to obtain the reduced order models. Finally, an illustrative example is provided to state the feasibility of the obtained results.