{'fraction_non_alphanumeric': 0.015555555555555555, 'fraction_numerical': 0.0, 'mean_word_length': 5.833333333333333, '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}}
Geometrical methods for pole assignment algorithms

A differential geometry approach for the design of output feedback pole assignment compensators is presented. In a first step, the output feedback control problem is formulated as an optimization problem for smooth objective functions on Grassmann manifolds, or related spaces. A Jacobi-type numerical algorithm is proposed that achieves minimization along sequences of simple, algebraic geodesics.