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Fixed-Time Cluster Consensus for Multi-Agent Systems with Objective Optimization on Directed Networks
《Journal of Systems Science & Complexity》2023年第6期2325-2343,共19页DUAN Suna YU Zhiyong JIANG Haijun OUYANG Deqiang 
supported in part by the Natural Science Foundation of Xinjiang Uygur Autonomous Region under Grant No.2023D01C162;in part by the National Natural Science Foundation of China under Grant Nos.62003289 and 62163035;in part by the China Postdoctoral Science Foundation under Grant No.2021M690400;in part by the Special Project for Local Science and Technology Development Guided by the Central Government under Grant No.ZYYD2022A05。
This paper studies the cluster consensus of multi-agent systems(MASs)with objective optimization on directed and detail balanced networks,in which the global optimization objective function is a linear combination of ...
关键词：Cluster consensus directed and detail balanced network multi-agent systems(MASs) objective optimization 
Bipartite Consensus of Linear Multi-Agent Systems by Distributed Event-Triggered Control被引量：5
《Journal of Systems Science & Complexity》2021年第3期955-974,共20页YANG Ruitian PENG Li YANG Yongqing ZHU Fengzeng 
supported by the State Key Research Project under Grant No.2018YFD0400902;the National Science Foundation under Grant No.61873112;the Education Ministry and China Mobile Science Research Foundation under Grant No.MCM20170204;Jiangsu Key Construction Laboratory of IoT Application Technology under Grant Nos.190449,190450。
For multi-agent systems with competitive and collaborative relationships,signed graph can more intuitively express the characteristics of their interactive networks.In this paper,the bipartite consensus is investigate...
关键词：Bipartite consensus coopetition networks event-triggered control structurally balanced 
CONSENSUS AND r-CONSENSUS PROBLEMS FOR SINGULAR SYSTEMS
《Journal of Systems Science & Complexity》2014年第2期252-262,共11页ZHANG Lequn FENG Jun-e YAO Juan 
supported by the National Natural Science Foundation of China under Grant Nos.61174141 and 61374025;Research Awards Young and Middle-Aged Scientists of Shandong Province under Grant Nos.BS2011SF009 and BS2011DX019;Excellent Youth Foundation of Shandong Province under Grant No.JQ201219
In this paper, the problem of consensus for continuous time singular systems of multi-agent networks is considered. The definition of r-consensus is introduced for singular systems of multi-agent networks. Firstly, li...
关键词：Balanced graphs CONSENSUS r-consensus singular systems strong connected graphs. 
INDUCED SUBGRAPH IN RANDOM REGULAR GRAPH
《Journal of Systems Science & Complexity》2008年第4期645-650,共6页Lan XIAO Guiying YAN Yuwen WU Wei REN 
This research is supported by the National Natural Science of Foundation under Grant Nos.10531070 and 10721101 of China.
Let Gn,d be a random d-regular graph with n vertices, where d = o（n）. Given a fixed graph H, YH denotes the number of induced copies of H in Gn d In this paper, the authors determine the threshold of the event ＂YH ...
关键词：Induced subgraph Poisson distribution random regular graph strictly balanced threshold. 
GENERALIZED p-VALUES AND GENERALIZED CONFIDENCE INTERVALS FOR VARIANCE COMPONENTS IN GENERAL RANDOM EFFECT MODEL WITH BALANCED DATA被引量：9
《Journal of Systems Science & Complexity》2007年第4期572-584,共13页Rendao YE Songgui WANG 
Various random models with balanced data that are relevant for analyzing practical test data are described, along with several hypothesis testing and interval estimation problems concerning variance components. In thi...
关键词：Generalized confidence interval generalized p-value variance component. 
EXISTENCE OF 0-1 UNIVERSAL MINIMAL TOTAL DOMINATING FUNCTIONS
《Journal of Systems Science & Complexity》2004年第4期485-491,共7页FANGQizhi 
This research is supported by the National Natural Science Foundation of China (No. 10371114).
In this paper, we study the existence of 0-1 universal minimal total dominating functions in a graph. We establish a formulation of linear inequalities to characterize universal minimal total dominating functions and ...
关键词：total dominating function (TDF) minimal total dominating function (MTDF) universal mtdf BALANCED NP-HARD 
A LOCALIZATION CONDITION FORBIPANCYCLIC BIPARTITE GRAPHS
《Systems Science and Mathematical Sciences》1997年第1期61-65,共5页SHI Ronghua (Department of Applied Mathematics, Naming University of Science and Technology,Nanjing 210094, China)LOU Dingjun (Department of Computer Science, Zhongshan University, Guangzhou 510275, China) 
In this paper we prove the following: Let G be connected balanced bipartite graph of order 2n> 4. If G satisfies the localization condition |NZ(u)\N(v)| + 2 < d(u), for any u,v∈ V(G) and d(u, v) = 3 where N(u) = {w|w...
关键词：Localization CONDITION CONNECTED BALANCED BIPARTITE GRAPH bipancyclic ISOMORPHIC 
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