{'fraction_non_alphanumeric': 0.03262233375156838, 'fraction_numerical': 0.0, 'mean_word_length': 5.138461538461539, '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}}
Stabilizing any SISO LTI plant with an arbitrarily large uncertain gain and delay

Handling delays and uncertain parameters in control systems is difficult and of long-standing interest. In this paper, we consider the problem of stabilizing any single-input single-output (SISO) linear time invariant (LTI) controllable/observable plant with an arbitrarily large uncertain gain and time delay; to do so, we propose a non-linear time varying (NLTV) controller. Despite being NLTV, the proposed controller is relatively simple, the non-linearity is mild and the time variation is periodic; furthermore, the controller is able to provide not only bounded-input bounded-output stability, but is also able to provide linear-like bounds on the plant state when subject to an initial condition and noise.