학술논문
A Note on Controllability of Directed Networked MIMO Systems With Heterogeneous Dynamics
Document Type
Periodical
Author
Source
IEEE Transactions on Control of Network Systems IEEE Trans. Control Netw. Syst. Control of Network Systems, IEEE Transactions on. 10(2):575-578 Jun, 2023
Subject
Language
ISSN
2325-5870
2372-2533
2372-2533
Abstract
In 2020, Xiang et al. derived a necessary condition for the controllability of a special type of heterogeneous networked system. Theorem 3 in Xiang et al. states that the observability of each node is necessary for the controllability of a heterogeneous networked system satisfying: 1) similar state matrices; 2) that output matrices are scalar multiples of one another; and 3) that the rank of the input matrix of the networked system is less than the number of nodes in the system. In this article, we have given a counterexample to show that this claim is not true in general. Furthermore, we have given a necessary condition for the controllability of a heterogeneous networked system with aforementioned properties. The obtained result is demonstrated through examples.