论文标题
领导者追随者的同步边界控制抛物线方程与内域耦合
Leader-Follower Synchronization of a Network of Boundary-Controlled Parabolic Equations With In-Domain Coupling
论文作者
论文摘要
在这封信中，我们研究了具有边界控制和内域耦合的一类部分微分方程的领导者同步问题。我们在抽象的公式中描述了这个问题，并将其专门用于抛物线偏微分方程网络。我们考虑了一个环境，其中关注者的子集通过边界控制连接到领导者，而关注者之间的互连是通过分布式内域耦合来强制执行的。为了选择执行指数同步的控制参数的矩阵不等式形式的足够条件。数值模拟说明并证实了理论发现。
In this letter, we study the leader-synchronization problem for a class of partial differential equations with boundary control and in-domain coupling. We describe the problem in an abstract formulation and we specialize it to a network of parabolic partial differential equations. We consider a setting in which a subset of the followers is connected to the leader through a boundary control, while interconnections among the followers are enforced by distributed in-domain couplings. Sufficient conditions in the form of matrix inequalities for the selection of the control parameters enforcing exponential synchronization are given. Numerical simulations illustrate and corroborate the theoretical findings.
