{'fraction_non_alphanumeric': 0.02181818181818182, 'fraction_numerical': 0.0, 'mean_word_length': 5.191011235955056, '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}}
Robust exponential stabilization of parameterized families of LTI systems by means of nonlinear time-varying state feedback

We consider parameterized families of controlled LTI (linear time invariant) systems which depend on a real parameter that lies in a closed interval of R. Given any such family, we show that, if each system of the family is asymptotically stabilizable by means of LTI state feedback, then there exists a continuous time-varying state feedback law v(t, x) which globally exponentially stabilizes all the systems in the family.