含有自适应耦合强度的复杂网络规定时间保成本同步控制
Prescribed-Time Synchronization with Guaranteed Cost for Complex Networks via Adaptive Coupling
摘要: 本文研究了具有自适应耦合的复杂网络规定时间保成本同步控制问题。首先，通过设计自适应控制策略去实时逼近估计网络系统中的自适应耦合权重。其次，通过构造一个规定时间控制器以及利用Lyapunov稳定性理论、不等式技巧实现复杂网络系统的规定时间同步，并给出对应同步性准则和控制成本上界。最后，一个数值仿真例子被给出验证所提方法的有效性。
Abstract: This paper investigates the prescribed-time guaranteed-cost synchronization control problem for complex networks with adaptive coupling. First, an adaptive control strategy is designed to estimate the adaptive coupling weights in the network system in real time. Second, by constructing a prescribed-time controller and utilizing Lyapunov stability theory and inequality techniques, the prescribed-time synchronization of the complex network system is achieved, along with corresponding synchronization criteria and an upper bound on the control cost. Finally, a numerical simulation example is provided to validate the effectiveness of the proposed method.
文章引用：李慧媛, 纪楠. 含有自适应耦合强度的复杂网络规定时间保成本同步控制[J]. 理论数学, 2026, 16(2): 267-276. https://doi.org/10.12677/pm.2026.162057

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