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 |
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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 |
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