Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Neural Processing Letters
Published in: Neural Processing Letters 1/2021

01-11-2020

Leader-Following Consensus of Non-linear Multi-agent Systems with Interval Time-Varying Delay via Impulsive Control

Authors: M. Syed Ali, R. Agalya, Zeynep Orman, Sabri Arik

Published in: Neural Processing Letters | Issue 1/2021

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In this manuscript, the stability and consensus problem of the leader-following multi-agent system is studied. The state information of the leader is only available to the dynamics of all the followers, while the communication among the agents occurs at sampling instant. The innovative part of this paper is to reach the consensus and attain the stability for prescribed MASs with interval time varying delay using impulsive control in the presence of leader. The interaction between the agent is illustrated by an undirected graph. A class of distributed impulsive protocol relying on sampling information is suggested to reach the leader following consensus. The consensus is critically relying on the sampling period, control gains. By performing the similar procedures, the consensus problem of multi-agent system is converted to stability problem of the error system. By utilizing the stability theory of impulsive systems, algebraic graph theory, sufficient conditions are derived to guarantee the leader-following consensus of the multi-agent system. Terminally, a numerical example is given to show an efficacy of this presented approach and the sureness of theoretical analysis.
previous article Delay-Dependent Criteria for Global Exponential Stability of Time-Varying Delayed Fuzzy Inertial Neural Networks
next article Evolved Fuzzy Min-Max Neural Network for Unknown Labeled Data and its Application on Defect Recognition in Depth

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
Literature
1.
Chen YQ, Wang Z (2005) Formation control: a review and a new consideration. In: IEEE/RSJ international conference on intelligent robots and systems (IROS), pp 3181–3186
2.
Ren W, Beard R, Atkins E (2007) Information consensus in multivehicle cooperative control. IEEE Control Syst Mag 27:71–82
3.
Ren W, Beard R (2005) Consensus seeking in multi-agent systems under dynamically changing interaction topologies. IEEE Trans Autom Control 50:655–661MATH
4.
Li ZK, Ren W, Liu XD, Fu MY (2013) Consensus of multi-agent systems with general linear and lipschitz nonlinear dynamics using distributed adaptive protocols. IEEE Trans Autom Control 58:1786–1791MathSciNetMATH
5.
Cao Y, Ren W (2012) Distributed coordinated tracking with reduced interaction via a variable structure approach. IEEE Trans Autom Control 57:33–48MathSciNetMATH
6.
Fax JA, Murray RM (2004) Information flow and cooperative control of vehicle formations. IEEE Trans Autom Control 49:1465–1476MathSciNetMATH
7.
Song Q, Cao J, Yu W (2010) Second-order leader-following consensus of nonlinear multi-agent systems via pinning control. Syst Control Lett 59:553–562MathSciNetMATH
8.
Angeli D, Bliman PA (2006) Stability of leaderless discrete-time multi-agent systems. Math Control Signals Syst 18:293–322MathSciNetMATH
9.
Meng Z, Ren W, Cao Y, You Z (2011) Leaderless and leaderfollowing consensus with communication and input delays under a directed network topology. IEEE Trans Syst Man Cybern B 41:75–88
10.
Cheng L, Wang Y, Ren W, Hou Z, Tan M (2016) On convergence rate of leader-following consensus of linear multi-agent systems with communication noises. IEEE Trans Autom Control 61:3586–3592MathSciNetMATH
11.
Cheng L, Wang Y, Ren W, Hou Z, Tan M (2014) Containment control of multi-agent systems with dynamic leaders based on a \(PI^n\)-type approach. IEEE Trans Cybern 46:3004–3017
12.
Li Z, Duan Z, Chen G (2011) Dynamic consensus of linear multi-agent systems. IET Control Theory Appl 5:19–28MathSciNet
13.
Yu W, Ren W, Zheng WX (2013) Distributed control gains design for consensus in multi-agent systems with second-order nonlinear dynamics. Automatica 49:2107–2115MathSciNetMATH
14.
Yu W, Chen G, Cao M, Kurths J (2010) Second-order consensus for multiagent systems with directed topologies and nonlinear dynamics. IEEE Trans Syst Man Cybern Part B Cybern 40:881–891
15.
Wen GH, Hu GQ, Yu WW, Chen GR (2014) Distributed H\(\infty \) consensus of higher order multiagent systems with switching topologies. IEEE Trans Circuits Syst Express Briefs 61:359–363
16.
Seo J, Shim H, Back J (2009) Consensus of high-order linear systems using dynamic output feedback compensator: low gain approach. Automatica 45:2659–2664MathSciNetMATH
17.
Nagamani G, Balasubramaniam P (2012) Delay-dependent passivity criteria for uncertain switched neural networks of neutral type with interval time-varying delay. Phys Scr 85:045010MATH
18.
Song Q, Cao J (2012) Passivity of uncertain neural networks with both leakage delay and time-varying delay. Nonlinear Dyn 67:1695–1707MathSciNetMATH
19.
Chen X, Song Q, Liu X, Zhao Z (2014) Global-stability of complex-valued neural networks with unbounded time-varying delays. Abstract and Applied Analysis
20.
Zhu Q, Cao J (2010) Stability analysis for stochastic neural networks of neutral type with both Markovian jump parameters and mixed time delays. Neurocomputing 73:2671–2680
21.
Zhu W, Cheng D (2010) Leader-following consensus of second-order agents with multiple time-varying delays. Automatica 46:1994–1999MathSciNetMATH
22.
Chen CLP, Wen GX, Liu YJ, Wang FY (2014) Adaptive consensus control for a class of nonlinear multiagent time-delay systems using neural networks. IEEE Trans Neural Netw Learn Syst 25:1217–1226
23.
Peng K, Yang Y (2009) Leader-following consensus problem with a varying-velocity leader and time-varying delays. Physica A 388:193–208
24.
Gao X, Wang L (2011) Sampled data based consensus of continuous-time multiagent systems with time-varying topology. IEEE Trans Autom Control 56:1226–1231MATH
25.
Sui X, Yang Y, Xu X, Zhang S, Zhang L (2017) The sampled-data consensus of multi-agent systems with probabilistic time-varying delays and packet losses. Physica A Stat Mech Appl 492:1625–1641MathSciNet
26.
Zhang Y, Tian YP (2010) Consensus of data-sampled multiagent systems with random communication delay and packet loss. IEEE Trans Autom Control 55:939–943MATH
27.
Song Q, Cao J, Yu W (2010) Second-order leader-following consensus of nonlinear multi-agent systems via pinning control. Syst Control Lett 59:553–562MathSciNetMATH
28.
Yu W, Zheng WX, Chen G, Ren W, Cao J (2011) Second-order consensus in multi-agent dynamical systems with sampled position data. Automatica 47:1496–1503MathSciNetMATH
29.
Syed Ali M, Gunasekaran N, Zhu Q (2017) State estimation of T–S fuzzy delayed neural networks with Markovian jumping parameters using sampled-data control. Fuzzy Sets Syst 306:87–104MathSciNetMATH
30.
Yu W, Wang H, Cheng F, Yu X, Wen G (2017) Second-order consensus in multiagent systems via distributed sliding mode control. IEEE Trans Cybern 47:1872–1881
31.
Li H, Su H (2015) Distributed consensus of multi-agent systems with nonlinear dynamics via adaptive intermittent control. J Franklin Inst 352:4546–4564MathSciNetMATH
32.
Guo XG, Wang JL, Liao F (2015) Non-fragile \(H_{\infty }\) consensus of linear multi-agent systems with interval-bounded variations. In: 23rd Mediterranean conference on control and automation
33.
Hu A, Cao J, Hu M, Guo L (2015) Event-triggered consensus of Markovian jumping multi-agent systems via stochastic sampling. IET Control Theory Appl 9:1964–1972MathSciNet
34.
Nagamani G, Radhika T, Gopalakrishnan P (2016) Dissipativity and passivity analysis of Markovian jump impulsive neural networks with time delays. Int J Comput Math 94:1479–1500MathSciNetMATH
35.
Li X, Chen Z (2009) Stability properties for Hopfield neural networks with delays and impulsive perturbations. Nonlinear Anal Real World Appl 10:3253–3265MathSciNetMATH
36.
Fu X, Li X (2011) LMI conditions for stability of impulsive stochastic Cohen–Grossberg neural networks with mixed delays. Commun Nonlinear Sci Numer Simul 16:435–454MathSciNetMATH
37.
Fu X, Li X (2009) Global exponential stability and global attractivity of impulsive Hopfield neural networks with time delays. J Comput Appl Math 231:187–199MathSciNetMATH
38.
Li X, Regan DO, Akca H (2015) Global exponential stabilization of impulsive neural networks with unbounded continuously distributed delays. IMA J Appl Math 80:85–99MathSciNetMATH
39.
Guan ZH, Liu ZW, Feng G (2012) Impulsive consensus algorithms for second-order multi-agent networks with sampled information. Automatica 48:1397–1404MathSciNetMATH
40.
Ding L, Yu P, Liu ZW, Guan ZH, Feng G (2013) Consensus of second-order multi-agent systems via impulsive control using sampled hetero-information. Automatica 49:2881–2886MathSciNetMATH
41.
Ma TD, Zhang LY, Zhao FY, Gu ZY, Xu YX (2015) Impulsive consensus of multi-agent nonlinear systems with control gain error. Neurocomputing 171:293–298
42.
Zhang L, Li T, Huang T, Huang J, Ma T (2107) Adaptive impulsive consensus of multi-agent systems with control gain error
43.
Hu HX, Liu A, Xuan Q, Yu L, Xie G (2015) Second-order consensus of multi-agent systems in the cooperation competition network with switching topologies: A time-delayed impulsive control approach. Syst Control Lett 62:1125–1135MathSciNetMATH
44.
Syed Ali M, Vadivel R, Kwon OM (2019) Decentralised event-triggered impulsive synchronisation for semi-Markovian jump delayed neural networks with leakage delay and randomly occurring uncertainties. Int J Syst Sci 50:1636–1660MathSciNet
45.
Dharani S, Balasubramaniam P (2019) Delayed impulsive control for exponential synchronization of stochastic reaction–diffusion neural networks with time-varying delays using general integral inequalities. Neural Comput Appl 31:8719–8726
46.
Zhao H, Li L, Peng H, Xiao J, Yang Y, Zheng M (2016) Impulsive control for synchronization and parameters identification of uncertain multi-links complex network. Nonlinear Dyn 83:1437–1451MathSciNetMATH
47.
Qin W, Liu Z, Chen Z (2015) Impulsive observer-based consensus control for multi-agent systems with time delay. Int J Control 88:1789–1804MathSciNetMATH
48.
Syed Ali M, Gunasekaran N, Esther Rani M (2017) Robust stability of Hopfield delayed neural networks via an augmented L–K functional. Neurocomputing 234:198–204
49.
Li H (2016) Leader-following consensus of nonlinear multi-agent systems with mixed delays and uncertain parameters via adaptive pinning intermittent control. Nonlinear Anal Hybrid Syst 22:202–214MathSciNetMATH
50.
Wang Y, Yi J-W (2014) Consensus in second-order multi-agent systems via impulsive control using position-only information with heterogeneous delays. IET Control Theory Appl 9:336–345MathSciNet
51.
Kwon OM, Park JH, Lee SM, Cha EJ (2014) New augmented Lyapunov–Krasovskii functional approach to stability analysis of neural networks with time-varying delays. Nonlinear Dyn 76:221–236MathSciNetMATH
52.
Seuret A, Gouaisbaut F (2013) Wirtinger-based integral inequality: application to time-delay systems. Automatica 49:2860–2866MathSciNetMATH
53.
Gu K, Kharitonov VL, Chen J (2003) Stability of time-delay systems. Birkhauser, BostonMATH
54.
Ali MS, Saravanakumar R (2014) Improved delay-dependent robust \(H_\infty \) control of an uncertain stochastic system with interval time varying and distributed delays. Chin Phys B 23:120201
Metadata
Title
Leader-Following Consensus of Non-linear Multi-agent Systems with Interval Time-Varying Delay via Impulsive Control
Authors
M. Syed Ali
R. Agalya
Zeynep Orman
Sabri Arik
Publication date
01-11-2020
Publisher
Springer US
Published in
Neural Processing Letters / Issue 1/2021
Print ISSN: 1370-4621
Electronic ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-020-10384-8

Other articles of this Issue 1/2021

Neural Processing Letters 1/2021 Go to the issue

OriginalPaper

Context Module Based Multi-patch Hierarchical Network for Motion Deblurring

OriginalPaper

Evolved Fuzzy Min-Max Neural Network for Unknown Labeled Data and its Application on Defect Recognition in Depth

OriginalPaper

The Future of Human Activity Recognition: Deep Learning or Feature Engineering?

OriginalPaper

Densemask RCNN: A Hybrid Model for Skin Burn Image Classification and Severity Grading

ReviewPaper

Online Social Network Security: A Comparative Review Using Machine Learning and Deep Learning

OriginalPaper

Real-Time Lossy Audio Signal Reconstruction Using Novel Sliding Based Multi-instance Linear Regression/Random Forest and Enhanced CGPANN