控制理论(社会学)
边界(拓扑)
趋同(经济学)
数学
单调多边形
共识
李雅普诺夫函数
多智能体系统
控制器(灌溉)
可微函数
偏微分方程
计算机科学
控制(管理)
数学分析
非线性系统
几何学
经济
人工智能
物理
生物
量子力学
农学
经济增长
作者
Lirui Zhao,Huaiqin Wu,Jinde Cao
标识
DOI:10.1016/j.cnsns.2023.107538
摘要
The distributed consensus is considered for multi-agent systems (MASs), which characterized by fractional reaction–diffusion partial differential equations (RDPDEs) in this paper. Based on Lyapunov technique and linear matrix inequalities (LMIs) theory, the consensus can be realized via two novel event-triggered boundary control schemes. Firstly, a novel convergence principle subject to finite time is presented for the continuously differentiable function. Secondly, the cooling fin on surface of high-speed aerospace vehicle is remodeled by fractional RDPDEs system, and the well-posedness of presented system is discussed applying the monotone iterative approach. Thirdly, according to the presented static event-triggered boundary control strategy, the consensus criterion in finite time is addressed in the form of LMIs, in addition, the settling time is calculated accurately. Applying the dynamic event-triggered control protocol, the Mittag-Leffler (M-L) consensus condition is achieved. Moreover, the Zeno behaviors are ruled out for proposed event-triggered mechanisms. Finally, the high-speed aerospace vehicle model is presented to verify the effectiveness of the control performance.
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