{'fraction_non_alphanumeric': 0.02495201535508637, 'fraction_numerical': 0.0, 'mean_word_length': 5.643312101910828, '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}}
Containment Control for Fuzzy Multi-Agent Systems Subject to Stochastic Controller Gain Variation

This paper studies the containment control problem for a kind of nonlinear discrete-time multi-agent systems (MASs)with stochastic controller gain variation. More specifically, the nonlinear dynamics of MASs are modeled by the discrete-time Takagi-Sugeno (T-S)fuzzy systems, which can approximate many practical nonlinear systems in reality. Firstly, by introducing a stochastic variable and an uncertain term in the control protocol, a stochastic uncertain closed-loop system is derived that captures the stochastic controller gain variation phenomenon. By means of the Lyapunov stability theory and linear matrix inequality (LMI)technique, a novel sufficient condition is obtained such that containment control for such a kind of nonlinear systems is achieved. Then, after some matrices manipulation, the controller gains are calculated by solving some LMIs. A numerical study is finally proposed for the validation of the controller design.