SPID control for synchronization of complex PIDE networks with time delays
Chengdong Yang, Ancai Zhang, Xinghui Zhang, Zhaodong Liu, Guochen Pang, Jianlong Qiu, Yumei Wen, Shandong Shanshui, Jinde Cao · IECON 2017 - 43rd Annual Conference of the IEEE Industrial Electronics Society · 2017
This paper deals with the problem of complex spatio-temporal networks, which is modeled by coupled partial integro-differential equations (PIDEs). A spatial proportional-integral-derivative (SPID) state-feedback controller is studied. With Laypunov direct method, a sufficient condition on synchronization of the complex PIDE network is investigated in terms of linear matrix inequality (LMIs). Finally, a numerical example shows the effectiveness of the proposed results.