文献类型：期刊文献

英文题名：Quasi-synchronization of heterogeneous dynamic networks via distributed impulsive control: Error estimation, optimization and design

作者：He, Wangli[1];Qian, Feng[1];Lam, James[2,3];Chen, Guanrong[4];Han, Qing-Long[5];Kurths, Juergen G.[6]

机构：[1]E China Univ Sci & Technol, Minist Educ, Key Lab Adv Control & Optimizat Chem Proc, Shanghai 200237, Peoples R China;[2]Univ Hong Kong, Shenzhen Inst Res & Innovat HKUSIRI, Hong Kong, Hong Kong, Peoples R China;[3]Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China;[4]City Univ Hong Kong, Dept Elect Engn, Kowloon, Hong Kong, Peoples R China;[5]Griffith Univ, Griffith Sch Engn, Gold Coast, Qld 4222, Australia;[6]Potsdam Inst Climate Impact Res, D-14415 Potsdam, Germany

年份：2015

卷号：62

起止页码：249

外文期刊名：AUTOMATICA

收录：;EI(收录号：20154801604674);WOS:【SCI-EXPANDED(收录号:WOS:000366233700032)】；

基金：This work was supported by the Major State Basic Research Development Program of China (2012CB720500), National Natural Science Foundation of China (61203157, 61573141), Fundamental Research Funds for the Central Universities (22A201514046), Scientific Research Foundation for Returned Overseas Chinese Scholars, State Education Ministry, the 111 Project (B08021), SZSTI Basic Research Program (JCYJ20120831142942514), HKU CRCG 201311159072, and Cheung Kong Scholars Program.

语种：英文

外文关键词：Quasi-synchronization; Error bound; Heterogenous dynamic network; Impulsive control; Optimization

摘要：This paper studies leader-follower synchronization in heterogeneous dynamic networks via distributed impulsive control. The goal is to drive the followers to approximately synchronize with the leader within a nonzero error bound, referred to as quasi-synchronization. Some fundamental and yet challenging problems are addressed : (1) How to obtain a tight quasi-synchronization.error bound; (2) How many and which nodes should be controlled; (3) How to design the coupling strength, to select the pinned nodes and to determine the impulse intervals to optimize the error bound or to achieve quasi-synchronization within a prescribed error bound. First, some general quasi-synchronization conditions are derived with explicit expressions of the error bound. Second, the pinning strategy and the coupling strength in achieving quasi-synchronization are explored and expressed in term of impulse intervals. It is interesting to find that a large coupling strength will destroy synchrony, in contrast to continuous pinning control. Furthermore, the common requirement that the leader has a directed path to every node is needed only in the case that the impulse intervals can be arbitrarily small. A new concept, referred to as impulse pinning controllability, is introduced to the case that impulses cannot take place too frequently. Third, an optimization of the error bound is discussed and formulated. Under a prescribed error bound, the design problem of the coupling strength, pinned nodes and impulse intervals is solved. Finally, three examples are given to verify the theoretical results. (C) 2015 Elsevier Ltd. All rights reserved.