Controllability of heterogeneous interdependent group systems under undirected and directed topology

• 来源期刊: 中国物理B（英文版）
• 关键词: controllability heterogeneous group systems interdependent model sliding-mode control
• 年，卷（期）: 2018,（10）
• 页码范围: 724-734
• 页数: 11页
• 语种: 英文
• DOI: 10.1088/1674-1056/27/10/108901

摘要

The controllability problem of heterogeneous interdependent group systems with undirected and directed topology is investigated in this paper. First, the interdependent model of the heterogeneous system is set up according to the difference of individual characteristics. An extended distributed protocol with the external sliding-mode control is designed, under which it is shown that a heterogeneous interdependent group system is controllable when the corresponding communication topology is controllable. Then, using the network eigenvalue method, the driving individuals are determined for a hetero-geneous system with undirected topology. Under directed topology, the maximum match method is utilized to confirm the driving individuals. Some sufficient and necessary conditions are presented to assure that the heterogeneous interdepen-dent group system is structurally controllable. Via theoretical analysis, the controllability of heterogeneous interdependent systems is related to the interdependent manner and the structure of the heterogeneous system. Numerical simulations are provided to demonstrate the effectiveness of the theoretical results.