Yıl 2017, Cilt 18, Sayı 4, Sayfalar 842 - 848 2017-10-31

AN INTEGRAL CONNECTIVITY CONDITION FOR MULTI-EQUILIBRIA CONSENSUS IN NETWORKS EVOLVING OVER UNDIRECTED GRAPHS

Özlem Feyza Erkan [1] , Mehmet Akar [2]

109 203

In this paper, we study the multi-equilibrium consensus problem for a time-varying network of n agents where the agents are modeled as integrators. Instead of the joint connectivity condition which is widely used in the literature, we propose an integral K connectivity condition that allows us to examine the network through a constant matrix. Based on this new concept, we present necessary and sufficient conditions on networks modeled with undirected graphs so that multi-equilibrium consensus states are achieved. Theoretical results are verified by numerical simulations.

multi-equilibria consensus, time-varying topology, integral connectivity
  • Beard RW, McLain TW, Goodrich MA, and Anderson EP. Coordinated target assignment and intercept for unmanned air vehicles. IEEE T Robotic Autom 2002; 18(6): 911-922.
  • Vicsek T, Czirók A, Ben-Jacob E, Cohen I, and Shochet O. Novel type of phase transition in a system of self-driven particles. Physical Review Letters 1995; 75(6): 1226.
  • Jadbabaie A, Lin J, and Morse AS. Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE T Automat Contr 2003; 48(6):988-1001.
  • Moreau L. Stability of multiagent systems with time-dependent communication links. IEEE T Automat Contr 2005; 50(2): 169-182.
  • Ren W, Beard RW. Consensus seeking in multiagent systems under dynamically changing interaction topologies. IEEE T Automat Contr 2005; 50(5):655-661.
  • Olfati-Saber R, Murray, RM. Consensus problems in networks of agents with switching topology and time-delays. IEEE T Automat Contr 2004; 49(9):1520-1533.
  • Akar M, Shorten R. Distributed probabilistic synchronization algorithms for communication networks. IEEE T Automat Contr 2008; 53(1):389-393.
  • Cihan O, Akar M. Fastest mixing reversible Markov chains on graphs with degree proportional stationary distributions. IEEE T Automat Contr 2015; 60(1): 227-232.
  • Cihan O, Akar M. Effect of nonuniform varying delay on the rate of convergence in averaging-based consensus. Turk J Elec Eng & Comp Sci 2015; 23(4):1069-1080.
  • Yu J, Wang L. Group consensus of multi-agent systems with directed information exchange. Int J Syst Sci 2012; 43(2): 334-348.
  • Xia W, Cao M. Clustering in diffusively coupled networks. Automatica 2011; 47(11):2395-2405.
  • Qin J, Yu C. Cluster consensus control of generic linear multi-agent systems under directed topology with acyclic partition. Automatica 2013; 49(9):2898-2905.
  • Chen Y, Lü J, Han F, Yu X. On the cluster consensus of discrete-time multi-agent systems. Syst Control Lett 2011; 60(7):517-523.
  • Han Y, Lu W, Chen T. Cluster consensus in discrete-time networks of multiagents with inter-cluster nonidentical inputs. IEEE T Neural Netw Learn Syst 2013; 24(4): 566-578.
  • Qin J, Yu C, Anderson, BD. On leaderless and leader-following consensus for interacting clusters of second-order multi-agent systems. Automatica 2016; 74:214-221.
  • Erkan OF, Akar M. Distributed Consensus with Multiple Equilibria in Continuous-Time Multi-Agent Networks under Undirected Topologies. IFAC-PapersOnLine 2015, 48(24):225-230.
  • Cao L, Zheng Y, Zhou Q. A necessary and sufficient condition for consensus of continuous-time agents over undirected time-varying networks. IEEE T Automat Contr 2011;56(8):1915-1920.
Konular Mühendislik
Dergi Bölümü Araştırma Makalesi
Yazarlar

Yazar: Özlem Feyza Erkan
Kurum: BOĞAZİÇİ ÜNİVERSİTESİ
Ülke: Turkey


Yazar: Mehmet Akar
Kurum: BOĞAZİÇİ ÜNİVERSİTESİ
Ülke: Turkey


Bibtex @araştırma makalesi { aubtda341599, journal = {ANADOLU UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY A - Applied Sciences and Engineering}, issn = {1302-3160}, eissn = {2146-0205}, address = {Eskişehir Teknik Üniversitesi}, year = {2017}, volume = {18}, pages = {842 - 848}, doi = {10.18038/aubtda.341599}, title = {AN INTEGRAL CONNECTIVITY CONDITION FOR MULTI-EQUILIBRIA CONSENSUS IN NETWORKS EVOLVING OVER UNDIRECTED GRAPHS}, key = {cite}, author = {Erkan, Özlem Feyza and Akar, Mehmet} }
APA Erkan, Ö , Akar, M . (2017). AN INTEGRAL CONNECTIVITY CONDITION FOR MULTI-EQUILIBRIA CONSENSUS IN NETWORKS EVOLVING OVER UNDIRECTED GRAPHS. ANADOLU UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY A - Applied Sciences and Engineering, 18 (4), 842-848. DOI: 10.18038/aubtda.341599
MLA Erkan, Ö , Akar, M . "AN INTEGRAL CONNECTIVITY CONDITION FOR MULTI-EQUILIBRIA CONSENSUS IN NETWORKS EVOLVING OVER UNDIRECTED GRAPHS". ANADOLU UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY A - Applied Sciences and Engineering 18 (2017): 842-848 <http://dergipark.gov.tr/aubtda/issue/31353/341599>
Chicago Erkan, Ö , Akar, M . "AN INTEGRAL CONNECTIVITY CONDITION FOR MULTI-EQUILIBRIA CONSENSUS IN NETWORKS EVOLVING OVER UNDIRECTED GRAPHS". ANADOLU UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY A - Applied Sciences and Engineering 18 (2017): 842-848
RIS TY - JOUR T1 - AN INTEGRAL CONNECTIVITY CONDITION FOR MULTI-EQUILIBRIA CONSENSUS IN NETWORKS EVOLVING OVER UNDIRECTED GRAPHS AU - Özlem Feyza Erkan , Mehmet Akar Y1 - 2017 PY - 2017 N1 - doi: 10.18038/aubtda.341599 DO - 10.18038/aubtda.341599 T2 - ANADOLU UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY A - Applied Sciences and Engineering JF - Journal JO - JOR SP - 842 EP - 848 VL - 18 IS - 4 SN - 1302-3160-2146-0205 M3 - doi: 10.18038/aubtda.341599 UR - http://dx.doi.org/10.18038/aubtda.341599 Y2 - 2017 ER -
EndNote %0 Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi A - Uygulamalı Bilimler ve Mühendislik AN INTEGRAL CONNECTIVITY CONDITION FOR MULTI-EQUILIBRIA CONSENSUS IN NETWORKS EVOLVING OVER UNDIRECTED GRAPHS %A Özlem Feyza Erkan , Mehmet Akar %T AN INTEGRAL CONNECTIVITY CONDITION FOR MULTI-EQUILIBRIA CONSENSUS IN NETWORKS EVOLVING OVER UNDIRECTED GRAPHS %D 2017 %J ANADOLU UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY A - Applied Sciences and Engineering %P 1302-3160-2146-0205 %V 18 %N 4 %R doi: 10.18038/aubtda.341599 %U 10.18038/aubtda.341599
ISNAD Erkan, Özlem Feyza , Akar, Mehmet . "AN INTEGRAL CONNECTIVITY CONDITION FOR MULTI-EQUILIBRIA CONSENSUS IN NETWORKS EVOLVING OVER UNDIRECTED GRAPHS". ANADOLU UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY A - Applied Sciences and Engineering 18 / 4 (Ekim 2017): 842-848. http://dx.doi.org/10.18038/aubtda.341599