Merging relative sensing networks: A stability margin perspective |
| |
| Authors: | Vahid Hamdipoor Yoonsoo Kim |
| |
| Institution: | 1. College of Information Science and Engineering, Northeastern University, Shenyang 110819, PR China;2. State Key Laboratory of Synthetical Automation for Process Industries (Northeastern University), Shenyang 110819, PR China;1. School of Control Science and Engineering, Dalian University of Technology, Dalian 116023, China;2. State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang 110004, China;1. College of Science, Hebei Agricultural University, Baoding 071001, China;2. School of Science, Nanjing University of Science and Technology, Nanjing 210094, China;3. School of Information Technology, Jiangxi University of Finance and Economics, Nanchang 330013, China;4. School of Mathematics and Physics, Anhui Polytechnic University, Wuhu 241000, China |
| |
| Abstract: | This study considers merging dynamical networks (relative sensing networks in this paper) in terms of a stability margin criterion. The main motivation of this consideration is that merging can cause a significant drop in the stability margin of merged network with respect to the original networks initially with ample stability margins. In this paper, various types of network merging (i.e. undirected/directed homogeneous/heterogeneous dynamical network merging via one-way/two-way links) are analysed to show their effects on the stability margin. In particular, it is shown that (1) merging with one-way links yields the stability margin less than the original networks’; (2) merging undirected homogeneous networks with two-way links results in a stability margin being at least a quantity solely characterized by the positive realness (PRness) of SISO (Single-Input-Single-Output) local dynamics; (3) the quantity depends both on the PRness of SISO local dynamics and the eigenvalues of Laplacian matrix, in case of merging directed homogeneous networks with two-way links; (4) two-way merging using multiple nodes may allow for a large increase in the stability margin; and (5) merging heterogeneous networks may be simply treated as merging homogeneous networks by exploiting the design of link dynamics. Several numerical results are presented to show their consistency with the performed analysis. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
