{'fraction_non_alphanumeric': 0.035897435897435895, 'fraction_numerical': 0.017094017094017096, 'mean_word_length': 5.104166666666667, '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}}
A computational method on derivative variations of optimal control

In this paper, we propose an algorithm for solving optimal control problems in a class of continuously differentiable control functions with bounded derivatives. Based on derivative variations [R. Enkhbat, B. Barsbold, J. Mongolian Math. Soc., 17 (2013), 27–39], we derive new optimality conditions for the original problem. An algorithm has been constructed based on the optimality conditions. The convergence of the proposed algorithm has been proved. The algorithm was tested on some well known numerical examples.