{'fraction_non_alphanumeric': 0.022975929978118162, 'fraction_numerical': 0.0, 'mean_word_length': 5.224489795918367, '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}}
Distributed Fixed-Time Control of Multi-agent Systems with Input Shaping*

This paper presents novel fixed-time control for second-order multi-agent systems based on input shaping technique under undirected and directed graphs. To satisfy the requirement of multi-agent systems, the input shaping technique is extended to solve the control of an oscillation system with non-zero initial position firstly. The distributed fixed-time controllers are proposed based on the shaped command to achieve rest-to-rest maneuver of multi-agent systems under connected undirected graph where there is at least one node linked to the leader. For the directed graph with a globally reachable leader and no circle, distributed fixed-time controllers are designed by placing input shapers in all communication edges in the graph. Finally, experimental results are presented to verify the effectiveness of the proposed controllers.