Novel Effective Algorithm for Synchronization Problem in Directed Graph

2017 ◽  
pp. 528-537
Author(s):  
Richard Cimler ◽  
Dalibor Cimr ◽  
Jitka Kuhnova ◽  
Hana Tomaskova
Keyword(s):  
Directed Graph ◽  
Effective Algorithm ◽  
Synchronization Problem

A Method for Completeness Testing of Dimensioning in 2D Drawing

2013 ◽  
Vol 319 ◽  
pp. 351-355 ◽  
Author(s):  
Tian Zhong Sui ◽  
Zhen Tan ◽  
Lei Wang ◽  
Xiao Bin Gu ◽  
Zhao Hui Ren
Keyword(s):  
Graph Theory ◽  
Directed Graph ◽  
Effective Algorithm ◽  
Engineering Drawing ◽  
Intelligent Search ◽  
Important Link ◽  
Correct Conclusion ◽  
2D Drawing

Dimensioning work is a considerably important link in the whole Engineering Drawing. For existing completeness testing of dimensioning, correct conclusion can not be drawn in case of multi-closed dimension. This paper mainly discusses the ways how to automatically check up the deficiency and redundancy of the dimensions. This paper presents a new and effective algorithm to test whether the dimensions are redundant or insufficient by means of the graph theory and intelligent search. The dimensions are transformed to non-directed graph, then detects whether they are redundant or insufficient by traversing adjacent matrix of the non-directed graph. The deficiency and redundancy of dimension for multi-views of engineering drawing can be corrected by this algorithm.

An Effective Algorithm for Large Scale Image and Terrain Data Walkthrough

2009 ◽  
Vol 11 (5) ◽  
pp. 604-609
Author(s):  
Liuqing MA ◽  
Guanfu SONG ◽  
Hui GUO ◽  
Qin ZHOU
Keyword(s):  
Large Scale ◽  
Effective Algorithm

Sliding mode projective synchronization for fractional-order coupled systems based on network without strong connectedness

2021 ◽  
pp. 014233122110009
Author(s):  
Xin Meng ◽  
Baoping Jiang ◽  
Cunchen Gao
Keyword(s):  
Fractional Order ◽  
Sliding Mode ◽  
Coupled Systems ◽  
Projective Synchronization ◽  
Slave System ◽  
Complete Synchronization ◽  
Synchronization Problem ◽  
Strong Connectedness ◽  
Master System ◽  
Error System

This paper considers the Mittag-Leffler projective synchronization problem of fractional-order coupled systems (FOCS) on the complex networks without strong connectedness by fractional sliding mode control (SMC). Combining the hierarchical algorithm with the graph theory, a new SMC strategy is designed to realize the projective synchronization between the master system and the slave system, which covers the globally complete synchronization and the globally anti-synchronization. In addition, some novel criteria are derived to guarantee the Mittag-Leffler stability of the projective synchronization error system. Finally, a numerical example is given to illustrate the validity of the proposed method.

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