{'fraction_non_alphanumeric': 0.01913265306122449, 'fraction_numerical': 0.0, 'mean_word_length': 5.767241379310345, '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}}
OStabilization of affine nonlinear systems with input constraints via generalized Hamilton-Jacobi-Bellman equation approach

This paper deals with the stabilization of affine nonlinear systems with input saturation. We formulate the Hamilton-Jacobi-Bellman (HJB) equation corresponding to constrained control. A recursive algorithm for sequential improvement of the control which converges to the nearly optimal law is proposed by solving for a sequence of cost functions satisfying a sequence of generalized Hamilton-Jacobi-Bellman (GHJB) equations, and may provide a procedure for selecting effective controls for nonlinear systems with input constraints. The approach has been applied to a simple example to show the effectiveness of the proposed controller with input constraints.