{'fraction_non_alphanumeric': 0.01631321370309951, 'fraction_numerical': 0.0, 'mean_word_length': 5.14, '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}}
The zero dynamics for a class of nonlinear differential algebraic systems

The problems of zero dynamics of the control systems were considered. The concept of output zeroing sub-manifold and zero dynamics were raised for a class of nonlinear differential algebraic systems. By means of M-derivative, the properties of output zeroing submanifold were studied for this differential algebraic systems, and a zero dynamics algorithm on this systems was given, some properties of this algorithm were discussed also. Finally, an example was provided to illustrate the zero dynamics algorithm to be given in this paper.