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Avtomat. i Telemekh., 2011, Issue 8, Pages 41–52 (Mi at2256)  

This article is cited in 16 scientific papers (total in 16 papers)

Linear Systems

Synchronization in networks of linear agents with output feedbacks

I. A. Dzhunusova, A. L. Fradkovb

a St. Petersburg State University, St. Petersburg, Russia
b Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia

Abstract: The problem is considered of asymptotic synchronization by states in networks of identical linear agents in the application of the consensual output feedback. For the networks with fixed topology and without delay in the information transmission, on the basis of the passification theorem and the Agaev–Chebotarev theorem, the possibility is established of the provision of synchronization (consensus) of strong feedback under the assumption of the strict passification of agents and the existence of the incoming spanning tree in the information graph. In contrast to the known works, in which only the problems with the number of controls equal to the number of variables of the state of agents are investigated, in this work a substantially more complex case is considered, where the number of controls is less than the number of variables of the state, namely: the control is scalar. The results are illustrated by the example for the ring-shaped network of four dual integrators.

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English version:
Automation and Remote Control, 2011, 72:8, 1615–1626

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Presented by the member of Editorial Board: П. Ю. Чеботарев

Received: 16.08.2010

Citation: I. A. Dzhunusov, A. L. Fradkov, “Synchronization in networks of linear agents with output feedbacks”, Avtomat. i Telemekh., 2011, no. 8, 41–52; Autom. Remote Control, 72:8 (2011), 1615–1626

Citation in format AMSBIB
\by I.~A.~Dzhunusov, A.~L.~Fradkov
\paper Synchronization in networks of linear agents with output feedbacks
\jour Avtomat. i Telemekh.
\yr 2011
\issue 8
\pages 41--52
\jour Autom. Remote Control
\yr 2011
\vol 72
\issue 8
\pages 1615--1626

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    This publication is cited in the following articles:
    1. N. O. Amelina, A. L. Fradkov, “Approximate consensus in the dynamic stochastic network with incomplete information and measurement delays”, Autom. Remote Control, 73:11 (2012), 1765–1783  mathnet  crossref  zmath  isi
    2. A. L. Fradkov, G. K. Grigor'ev, “Decentralized adaptive control of synchronization of dynamic system networks at bounded disturbances”, Autom. Remote Control, 74:5 (2013), 829–844  mathnet  crossref  mathscinet  zmath  isi
    3. Yu W., Ren W., Zheng W.X., Chen G., Lu J., “Distributed Control Gains Design for Consensus in Multi-Agent Systems with Second-Order Nonlinear Dynamics”, Automatica, 49:7 (2013), 2107–2115  crossref  mathscinet  zmath  isi  elib  scopus
    4. A. V. Proskurnikov, “Frequency-domain criteria for consensus in multiagent systems with nonlinear sector-shaped couplings”, Autom. Remote Control, 75:11 (2014), 1982–1995  mathnet  crossref  isi
    5. Liu J., Guo L., Hu M., Yang Y., “Distributed Delay Control of Multi-Agent Systems With Nonlinear Dynamics: Stochastic Disturbance”, Neurocomputing, 152 (2015), 164–169  crossref  isi  elib  scopus
    6. Xiang J., Li Ya., Wei W., “Synchronised Output Regulation of Nonlinear Multi-Agent Systems”, Int. J. Control, 88:1 (2015), 54–64  crossref  mathscinet  zmath  isi  elib  scopus
    7. K. S. Amelin, B. R. Andrievsky, S. I. Tomashevich, A. L. Fradkov, “Data exchange with adaptive coding between quadrotors in a formation”, Autom. Remote Control, 80:1 (2019), 150–163  mathnet  crossref  elib
    8. S. I. Tomashevich, “Control for a system of linear agents based on a high order adaptation algorithm”, Autom. Remote Control, 78:2 (2017), 276–288  mathnet  crossref  mathscinet  isi  elib
    9. Liu Zh., Zhang M., Saberi A., Stoorvogel A.A., “Passivity Based State Synchronization of Homogeneous Discrete-Time Multi-Agent Systems Via Static Protocol in the Presence of Input Delay”, Eur. J. Control, 41 (2018), 16–24  crossref  mathscinet  zmath  isi  scopus
    10. B. R. Andrievskii, A. A. Selivanov, “New results on the application of the passification method. A survey”, Autom. Remote Control, 79:6 (2018), 957–995  mathnet  crossref  isi  elib
    11. A. V. Proskurnikov, A. S. Matveev, “Tsypkin and Jury–Lee criteria for synchronization and stability of discrete-time multiagent systems”, Autom. Remote Control, 79:6 (2018), 1057–1073  mathnet  crossref  isi  elib
    12. Stoorvogel A.A., Nojavanzadeh D., Liu Zh., Saberi A., “Squared-Down Passivity Based H-Infinity Almost Synchronization of Homogeneous Continuous-Time Multi-Agent Systems With Partial-State Coupling Via Static Protocol”, 2018 IEEE Conference on Decision and Control (Cdc), IEEE Conference on Decision and Control, IEEE, 2018, 2508–2513  isi
    13. Medvedev M., Lazarev V., Kulchenko A., Zhakov A., 2018 Global Smart Industry Conference (Glosic), IEEE, 2018  isi
    14. Tomashevich S. Andrievsky B., “Adaptive Control of Quadrotors Spatial Motion in Formation With Implicit Reference Model”, AIP Conference Proceedings, 2046, ed. Sivasundaram S., Amer Inst Physics, 2018, UNSP 020103  crossref  isi
    15. Liu Zh., Stoorvogel A.A., Saberi A., Nojavanzadeh D., “Squared-Down Passivity-Based State Synchronization of Homogeneous Continuous-Time Multiagent Systems Via Static Protocol in the Presence of Time-Varying Topology”, Int. J. Robust Nonlinear Control, 29:12 (2019), 3821–3840  crossref  isi
    16. Zhang M., Saberi A., Stoorvogel A.A., Liu Zh., “State Synchronization of a Class of Homogeneous Linear Multi-Agent Systems in the Presence of Unknown Input Delays Via Static Protocols”, Eur. J. Control, 47 (2019), 20–29  crossref  isi
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