复杂动态网络可控性及可观性研究综述

Survey on controllability and observability in complex dynamical networks

文中对近年来复杂动态网络可控性及可观性的研究成果进行综述。第一部分主要分析复杂动态网络可控性。首先,讨论系统状态可控性、系统结构可控性;然后,从图论的角度出发,基于系统可控性理论,讨论复杂动态网络结构可控性、复杂动态网络牵制可控性、节点动力学及网络拓扑结构对于复杂动态网络结构可控性的影响;最后,从代数的角度出发,讨论复杂动态网络状态可控性。第二部分主要讨论复杂动态网络可观性。首先,讨论线性复杂动态网络可观性;然后,讨论非线性复杂动态网络可观性。第三部分给出总结及未来展望。

The survey on controllability and the observability of complex dynamical networks in recent years is conducted in details.The first par mainly analyzes the controllability in complex dynamical net­works.Firstly,the state controllability and the structural controllability of systems are discussed.Then,based on the system controllability theory and the perspective of the graph theory,the structural controlla­bility and the pinning controllability in complex dynamical networks are studied.The influence on the structural controllability in complex dynamical networks brought by the node dynamics and the topological structure are also studied.Finally,the state controllability in complex dynamical networks is discussed from the perspective of algebra.The second part mainly discusses the observability in complex dynamical networks.Firstly,the observability in linear complex dynamical networks is analyzed.Then,the observ­ability in nonlinear complex dynamical networks is studied.The third part gives a summary and a vision for the future.