|||
最近,在导师武汉大学邹秀芬教授的悉心指导下,自已关于多层网络控制能量和能控性工作(Control energy and controllability of multilayer networks.pdf)被Advances in Complex Systems接受发表,希望大家喜欢。
Title: Control energy and controllability of multilayer networks
Published Online: http://www.worldscientific.com/doi/abs/10.1142/S0219525917500084
Abstract: The controllability of multilayer networks has become increasingly important in many areas of science and engineering. In this paper, we identify the general rules that determine the controllability and control energy cost of multilayer networks. First, we quantitatively estimate the control energy cost of multilayer networks and investigate the impacts of different coupling strength and coupling patterns on the control energy cost for multilayer networks. The results indicate that the average energy and the coupling strength have an approximately linear relationship in multilayer networks with two layers. Second, we study how the coupling strength and the connection patterns between different layers affect the controllability of multilayer networks from both theoretical and numerical aspects. The obtained piecewise function relations between the controllability’s measure and coupling strength reveal that the existence of an optimal coupling strength for the different interconnection strategies in multilayer networks. In particular, the numerical experiments demonstrate that there exists a tradeoff between the optimal controllability and optimal control energy for selecting inter-layer connection patterns in multilayer networks. These results provide a comprehensive understanding of the impact of interlayer couplings on the controllability and control energy cost for multilayer networks and provide a methodology for selecting the control nodes and coupling strength to maximize the controllability and minimize the control energy cost.
Keywords: Multilayer networks; controllability; control energy; coupling strength; coupling patterns.
1/0 | 闂傚倸鍊搁崐鎼佸磹閹间礁纾归柟闂寸绾惧湱鈧懓瀚崳纾嬨亹閹烘垹鍊炲銈嗗笒椤︿即寮查鍫熲拺闁告繂瀚埢澶愭煕濡灝浜圭紒顔肩墦瀹曞ジ鎮㈢粙鍨紟婵犳鍠楅〃鍛涘Δ鍛闁挎洖鍊归悡銉︾節闂堟稒锛嶆俊鎻掓憸缁辨帡鎮╅悜妯煎涧婵烇絽娲ら敃顏呬繆閸洖妞介柛鎰ㄦ櫆閺嗕即姊绘担鍛婃儓闁归攱鍨圭槐鐐存媴閸撳弶缍庨梺鎯х箺椤鐣锋径鎰厪濠电偛鐏濋崝婊堟煟濠靛嫬鐏叉慨濠冩そ閹兘寮堕幐搴敤闂備胶鎳撻崵鏍箯閿燂拷:0 | 濠电姷鏁告慨鐑藉极閸涘﹥鍙忛柣鎴濐潟閳ь剙鍊块幐濠冪珶閳哄绉€规洏鍔戝鍫曞箣閻欏懐骞㈤梻鍌欐祰椤鐣峰Ο琛℃灃婵炴垶纰嶉浠嬫煏閸繃鍟掗柡鍐ㄧ墛閺呮煡鏌涘☉鍗炲箺婵炲牊鐓″铏圭矙濞嗘儳鍓板銈嗗灥椤﹂潧顕f繝姘櫜闁告稑鍊婚崰搴ㄥ煝鎼淬劌绠氱憸搴敊閸曨垱鐓涘璺烘濞呭棛绱掔拠鑼妞ゎ偄绻橀幖鍦喆閸曨偆锛忛梻渚€娼ф灙闁稿孩鐓¢幃鐢稿閵堝棌鎷洪梺鑽ゅ枑濠㈡ê鈻撻埡鍛厵闁告垯鍊栫€氾拷 | 濠电姷鏁告慨鐑藉极閸涘﹥鍙忛柣鎴f閺嬩線鏌熼梻瀵割槮缁炬儳顭烽弻锝夊箛椤掍焦鍎撻梺鎼炲妼閸婂潡寮诲☉銏╂晝闁挎繂妫涢ˇ銉х磽娴e搫小闁告濞婂濠氭偄閸忓皷鎷婚柣搴f暩鏋┑鈥茬矙濮婃椽宕崟顒€娅ょ紓浣筋嚙閻楁挸顕f繝姘╅柕澶堝灪閺傗偓闂備胶纭堕崜婵嬫晪缂備焦鍔栭惄顖氼潖濞差亜宸濆┑鐘插閻g兘鎮楅崗澶婁壕闂佸綊妫跨粈浣虹不閺嶃劋绻嗛柕鍫濆€告禍楣冩⒑鐎圭姵顥夋い锔诲灦閸┿垹顓奸崱妯肩Ф闂侀潧臎閸涱垰甯掔紓鍌氬€风粈渚€宕愰崫銉х煋闁圭虎鍠撻崑鎴澝归崗鍏肩稇闂佸崬娲弻锝夊棘閹稿孩鍎撻悗娈垮枟婵炲﹤顫忕紒妯诲闁惧繒鎳撶粭鈥斥攽閻愭彃绾ч柣妤冨Т閻g兘骞囬弶鎸庡祶濡炪倖鎸荤粙鎴炵閻愵剚鍙忔俊顖滃帶娴滈箖鎮楀鐐 | 闂傚倸鍊搁崐鎼佸磹閹间礁纾圭€瑰嫭鍣磋ぐ鎺戠倞鐟滃繘寮抽敃鍌涚厱妞ゎ厽鍨垫禍婵嬫煕濞嗗繒绠婚柡宀€鍠撶槐鎺楀閻樺磭浜紓鍌欒兌婵箖锝炴径鎰﹂柛鏇ㄥ灠缁犳盯鏌涢锝嗙妞ゅ骸绉瑰铏圭矙濞嗘儳鍓炬繛瀛樼矤娴滎亜顕g拠娴嬫闁靛繒濮堥妸锔轰簻闁哄倸鐏濈紞鏍ㄦ叏鐟欏嫷娈滈柟顔煎槻楗即宕ㄩ褎姣夐梺姹囧焺閸ㄩ亶銆冩繝鍌ゅ殨闁哄被鍎辩粻鐟懊归敐鍛础闁告瑥妫濆铏圭磼濡崵顦ラ梺绋匡工濠€閬嶅焵椤掍胶鍟查柟鍑ゆ嫹 |
Archiver|手机版|科学网 ( 京ICP备07017567号-12 )
GMT+8, 2025-1-24 13:27
Powered by ScienceNet.cn
Copyright © 2007-2025 中国科学报社