Skip to main content
SpringerLink
Log in

Passivity and Output Synchronization of CDNs with Fixed and Adaptive Coupling Strength

  • Chapter
  • First Online:
Analysis and Control of Output Synchronization for Complex Dynamical Networks

Abstract

In the real world, many systems can be modeled as complex networks. Examples include food webs, communication networks, social networks, power grids, cellular networks, World Wide Web, metabolic systems, disease transmission networks, and so on. Therefore, the analysis and control of dynamical behaviors in CDNs have received considerable attention in recent years.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 119.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 159.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. J.L. Wang, Z.C. Yang, H.N. Wu, Passivity analysis of complex dynamical networks with multiple time-varying delays. J. Eng. Math. 74(1), 175–188 (2012)

    Article  MathSciNet  Google Scholar 

  2. J. Zhou, J.A. Lu, J. Lü, Adaptive synchronization of an uncertain complex dynamical network. IEEE Trans. Autom. Control 51(4), 652–656 (2006)

    Article  MathSciNet  Google Scholar 

  3. J. Lü, G. Chen, A time-varying complex dynamical network model and its controlled synchronization criteria. IEEE Trans. Autom. Control 50(6), 841–846 (2005)

    Article  MathSciNet  Google Scholar 

  4. W. Yu, G. Chen, J. Lü, On pinning synchronization of complex dynamical networks. Automatica 45(2), 429–435 (2009)

    Article  MathSciNet  Google Scholar 

  5. Z.G. Wu, P. Shi, H.Y. Su, J. Chu, Stochastic synchronization of Markovian jump neural networks with time-varying delay using sampled data. IEEE Trans. Cybern. 43(6), 1796–1806 (2013)

    Article  Google Scholar 

  6. H. Yu, P.J. Antsaklis, Output synchronization of networked passive systems with event-driven communication. IEEE Trans. Autom. Control 59(3), 750–756 (2014)

    Article  MathSciNet  Google Scholar 

  7. Y.Y. Liu, J. Zhao, Generalized output synchronization of dynamical networks using output quasi-passivity. IEEE Trans. Circuits Syst. I: Reg. Pap. 59(6), 1290–1298 (2012)

    Article  MathSciNet  Google Scholar 

  8. J.C. Willems, Dissipative dynamical systems part I: general theory. Arch. Ration. Mech. Anal. 45(5), 321–351 (1972)

    Article  Google Scholar 

  9. J.L. Wang, H.N. Wu, T. Huang, S.Y. Ren, J. Wu, Pinning control for synchronization of coupled reaction-diffusion neural networks with directed topologies. IEEE Trans. Syst. Man Cybern.: Syst. 46(8), 1109–1120 (2016)

    Google Scholar 

  10. W. Yu, J. Cao, J. Lü, Global synchronization of linearly hybrid coupled networks with time-varying delay. SIAM J. Appl. Dyn. Syst. 7(1), 108–133 (2008)

    Article  MathSciNet  Google Scholar 

  11. J. Yao, Z.H. Guan, D.J. Hill, Passivity-based control and synchronization of general complex dynamical networks. Automatica 45(9), 2107–2113 (2009)

    Article  MathSciNet  Google Scholar 

  12. J. Yao, H.O. Wang, Z.H. Guan, W. Xu, Passive stability and synchronization of complex spatio-temporal switching networks with time delays. Automatica 45(7), 1721–1728 (2009)

    Article  MathSciNet  Google Scholar 

  13. J.C. Willems, Dissipative dynamical systems part II: linear systems with quadratic supply rates. Arch. Ration. Mech. Anal. 45(5), 352–393 (1972)

    Article  Google Scholar 

  14. V. Belevitch, Classical Network Synthesis (Van Nostrand, New York, 1968)

    MATH  Google Scholar 

  15. D.J. Hill, P.J. Moylan, Stability results for nonlinear feedback systems. Automatica 13(4), 377–382 (1997)

    Article  Google Scholar 

  16. G.J. Santosuosso, Passivity of nonlinear systems with input-output feedthrough. Automatica 33(4), 693–697 (1977)

    Article  MathSciNet  Google Scholar 

  17. L.O. Chua, Passivity and complexity. IEEE Trans. Circuits Syst. I: Fundam. Theory Appl. 46(1), 71–82 (1999)

    Article  MathSciNet  Google Scholar 

  18. L. Xie, M. Fu, H. Li, Passivity analysis and passification for uncertain signal processing systems. IEEE Trans. Signal Process. 46(9), 2394–2403 (1998)

    Article  Google Scholar 

  19. W. Yu, Passive equivalence of chaos in lorenz system. IEEE Trans. Circuits Syst. I: Fundam. Theory Appl. 46(7), 876–878 (1999)

    Article  Google Scholar 

  20. C.W. Wu, Synchronization in arrays of coupled nonlinear systems: passivity, circle criterion, and observer design. IEEE Trans. Circuits Syst. I: Fundam. Theory Appl. 48(10), 1257–1261 (2001)

    Article  MathSciNet  Google Scholar 

  21. G. Calcev, R. Gorez, M.D. Neyer, Passivity approach to fuzzy control systems. Automatica 34(3), 339–344 (1998)

    Article  MathSciNet  Google Scholar 

  22. H.B. Zeng, Y. He, M. Wu, H.Q. Xiao, Improved conditions for passivity of neural networks with a time-varying delay. IEEE Trans. Cybern. 44(6), 785–792 (2017)

    Article  Google Scholar 

  23. Z.G. Wu, P. Shi, H. Su, J. Chu, Passivity analysis for discrete-time stochastic Markovian jump neural networks with mixed time delays. IEEE Trans. Neural Netw. 22(10), 1566–1575 (2011)

    Article  Google Scholar 

  24. J.L. Wang, H.N. Wu, Z.C. Yang, Passivity analysis of impulsive complex networks. Int. J. Autom. Comput. 8(4), 484–489 (2011)

    Article  Google Scholar 

  25. J.L. Wang, H.N. Wu, L. Guo, Passivity and stability analysis of reaction-diffusion neural networks with dirichlet boundary conditions. IEEE Trans. Neural Netw. 22(12), 2105–2116 (2011)

    Article  Google Scholar 

  26. J.L. Wang, H.N. Wu, Robust stability and robust passivity of parabolic complex networks with parametric uncertainties and time-varying delays. Neurocomputing 87, 26–32 (2012)

    Article  Google Scholar 

  27. J.L. Wang, H.N. Wu, Passivity of delayed reaction-diffusion networks with application to a food web model. Appl. Math. Comput. 219(24), 11311–11326 (2013)

    MathSciNet  MATH  Google Scholar 

  28. D. Wu, S. Zhu, X. Luo, L. Wu, Effects of adaptive coupling on stochastic resonance of small-world networks. Phys. Rev. E 84(2), 021102–1–021102–6 (2011)

    Google Scholar 

  29. H. Li, P. Shi, D. Yao, L. Wu, Observer-based adaptive sliding mode control for nonlinear Markovian jump systems. Automatica 64, 133–142 (2016)

    Article  MathSciNet  Google Scholar 

  30. H. Li, L. Wang, H. Du, A. Boulkroune, Adaptive fuzzy backstepping tracking control for strict-feedback systems with input delay. IEEE Trans. Fuzzy Syst. 25(3), 642–652 (2017)

    Article  Google Scholar 

  31. J.L. Wang, H.N. Wu, L. Guo, Novel adaptive strategies for synchronization of linearly coupled neural networks with reaction-diffusion terms. IEEE Trans. Neural Netw. Learn. Syst. 25(2), 429–440 (2014)

    Article  Google Scholar 

  32. X. Liu, H. Su, M.Z.Q. Chen, A switching approach to designing finite-time synchronization controllers of coupled neural networks. IEEE Trans. Neural Netw. Learn. Syst. 27(2), 471–482 (2016)

    Article  MathSciNet  Google Scholar 

  33. X. Yang, J. Cao, Z. Yang, Synchronization of coupled reaction-diffusion neural networks with time-varying delays via pinning-impulsive controller. SIAM J. Control Optim. 51(5), 3486–3510 (2013)

    Article  MathSciNet  Google Scholar 

  34. E. Steur, H. Nijmeijer, Synchronization in networks of diffusively time-delay coupled (semi-)passive systems. IEEE Trans. Circuits Syst. I: Reg. Pap. 58(6), 1358–1371 (2011)

    Article  MathSciNet  Google Scholar 

  35. Y.C. Liu, N. Chopra, Controlled synchronization of heterogeneous robotic manipulators in the task space. IEEE Trans. Robot. 28(1), 268–275 (2012)

    Article  Google Scholar 

  36. E. Steur, I. Tyukin, H. Nijmeijer, Semi-passivity and synchronization of diffusively coupled neuronal oscillators. Physica D 238(21), 2119–2128 (2009)

    Article  MathSciNet  Google Scholar 

  37. D. Hill, P. Moylan, The stability of nonlinear dissipative systems. IEEE Trans. Autom. Control 21(5), 708–711 (1976)

    Article  MathSciNet  Google Scholar 

  38. H. Li, P. Shi, D. Yao, Adaptive sliding-mode control of Markov jump nonlinear systems with actuator faults. IEEE Trans. Autom. Control 62(4), 1933–1939 (2017)

    Article  MathSciNet  Google Scholar 

  39. N. Chopra, Output synchronization on strongly connected graphs. IEEE Trans. Autom. Control 57(11), 2896–2901 (2012)

    Article  MathSciNet  Google Scholar 

  40. S. Kawamura, M. Svinin, Advances in Robot Control (Springer, Berlin, 2006)

    Book  Google Scholar 

  41. P. Shi, F. Li, L. Wu, C.C. Lim, Neural network-based passive filtering for delayed neutral-type semi-Markovian jump systems. IEEE Trans. Neural Netw. Learn. Syst. 28(9), 2101–2114 (2017)

    MathSciNet  Google Scholar 

  42. F. Li, P. Shi, L. Wu, X. Zhang, Fuzzy-model-based \(\mathcal {D}\)-stability and nonfragile control for discrete-time descriptor systems with multiple delays. IEEE Trans. Fuzzy Syst. 22(4), 1019–1025 (2014)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Computer Science and Software Engineering, Tianjin Polytechnic University, Tianjin, China

    Jin-Liang Wang

  2. Beihang University, Beijing, China

    Huai-Ning Wu

  3. Texas A&M University at Qatar, Doha, Qatar

    Tingwen Huang

  4. School of Mechanical Engineering, Tianjin Polytechnic University, Tianjin, China

    Shun-Yan Ren

Authors
  1. Jin-Liang Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Huai-Ning Wu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Tingwen Huang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Shun-Yan Ren
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Singapore Pte Ltd.

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Wang, JL., Wu, HN., Huang, T., Ren, SY. (2019). Passivity and Output Synchronization of CDNs with Fixed and Adaptive Coupling Strength. In: Analysis and Control of Output Synchronization for Complex Dynamical Networks. Springer, Singapore. https://doi.org/10.1007/978-981-13-1352-3_3

Download citation

Publish with us

Policies and ethics

Search

Navigation