{'fraction_non_alphanumeric': 0.019021739130434784, 'fraction_numerical': 0.0, 'mean_word_length': 5.63963963963964, '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}}
Eigenvalue control in distributed-parameter systems with parameter variations

The state-feedback eigenvalue control problem is studied for a class of distributed-parameter systems subject to parameter variations about given nominal values. The feedback controller derived contains two parts, namely, the nominal controller which is based upon the nominal open-loop system parameter values, and the correcting controller which is designed such as to compensate for the parameter variations. Actually, the resulting eigenvalue controller may be regarded as a controller which reduces the sensitivity of the closed-loop eigenvalues to variations of the open-loop parameters. Two examples are worked out to support the theoretical results.