{'fraction_non_alphanumeric': 0.009695290858725761, 'fraction_numerical': 0.0, 'mean_word_length': 5.342105263157895, '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}}
Stability analysis of input and output finite level quantized discrete-time linear control systems

This paper analyzes the stability of input and output quantized discrete-time linear control systems considering static finite-level logarithmic quantizers. The sector bound approach together with a relaxed stability notion are applied to derive LMI based conditions for estimating a set of initial conditions and its attractor assuming that the controller and quantizers are known a priori. These conditions ensure that all state trajectories belonging to the first set will enter the attractor in a finite time and remains inside it. A numerical example is presented to illustrate the application of the derived results.