Corrections to 'Distributed Tracking of Nonlinear Multiagent Systems Under Directed Switching Topology: An Observer-Based Protocol'

Autor: Xinghuo Yu, Jianqiang Hu, Guanghui Wen, Wenwu Yu, Yuanqing Xia
Rok vydání: 2017
Předmět:
Zdroj: IEEE Transactions on Systems, Man, and Cybernetics: Systems. 47:882-882
ISSN: 2168-2232
2168-2216
Popis: In the above paper [1] , there are errors regarding the description of (4) , and misquotes in Algorithm 1 and 2. In Algorithm 1, the first equation referenced should be (5) and not (40). In Algorithm 2, the first equation referenced should be (40) and not (5). The correction for (4) is as follows: \begin{equation*} \mathcal {L}^{(\sigma (t))}=\left [{\begin{array}{cc} \widetilde {\mathcal {L}}^{(\sigma (t))}& \mathrm {a}^{(\sigma (t))}\\ \mathrm {0}_{N}^{T}& 0 \end{array}}\right ] \tag{4}\end{equation*} where $\widetilde {\mathcal {L}}^{(\sigma (t))}\in \mathbb {R}^{N\times N}$ , $\mathrm {a}^{(\sigma (t))}=-[a_{1(N+1)}^{(\sigma (t))},a_{2(N+1)}^{(\sigma (t))},\cdots ,~a_{N(N+1)}^{(\sigma (t))}]^{T}\in \mathbb {R}^{N}$ , and $\mathcal {A}^{(\sigma (t))} = [a_{ij}^{(\sigma (t))}]_{(N+1) \times (N+1)}$ is the adjacency matrix of $\mathcal {G}^{(\sigma (t))}$ .
Databáze: OpenAIRE