Skip to main content
Springer Nature Link
Log in

Generalized Function Projective Lag Synchronization between Two Different Neural Networks

  • Conference paper
Advances in Neural Networks – ISNN 2013 (ISNN 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7951))

Included in the following conference series:

Abstract

The generalized function projective lag synchronization (GFPLS) is proposed in this paper. The scaling functions which we have investigated are not only depending on time, but also depending on the networks. Based on Lyapunov stability theory, a feedback controller and several sufficient conditions are designed such that the response networks can realize lag-synchronize with the drive networks. Finally, the corresponding numerical simulations are performed to demonstrate the validity of the presented synchronization method.

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

Access this chapter

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Akhmet, U., Arugaslan, D., Yilmaz, E.: Stability in Cellular Neural Networks with a Piecewise Constant Argument. J. Comp. Appl. Math. 233, 2365–2373 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  2. Pan, L.J., Cao, J.D.: Robust Stability for Uncertain Stochastic Neural Network with Delay and Impulses. Neurocomputing 94, 102–110 (2012)

    Article  Google Scholar 

  3. Cai, G., Ma, H., Li, Y.: Adaptive Projective Synchronization and Function Projective Synchronization of a Chaotic Neural Network with Delayed and Non-Delayed Coupling. In: Wang, J., Yen, G.G., Polycarpou, M.M. (eds.) ISNN 2012, Part I. LNCS, vol. 7367, pp. 293–301. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  4. Huang, W.Z., Huang, Y.: Chaos of a New Class of Hopfield Neural Networks. Appl. Math. Comp. 206, 1–11 (2008)

    Article  MATH  Google Scholar 

  5. Pecora, L.M., Carroll, T.L.: Synchronization in Chaotic Systems. Phys. Rev. Lett. 64, 821–824 (1990)

    Article  MathSciNet  Google Scholar 

  6. Cai, G.L., Shao, H.J., Yao, Q.: A Linear Matrix Inequality Approach to Global Synchronization of Multi-Delay Hopfield Neural Networks with Parameter Perturbations. Chin. J. Phys. 50, 86–99 (2012)

    Google Scholar 

  7. Cai, G.L., Wang, H.X., Zheng, S.: Adaptive Function Projective Synchronization of Two Different Hyperchaotic Systems with Unknown Parameters. Chin. J. Phys. 47, 662–669 (2009)

    MathSciNet  Google Scholar 

  8. Yang, X.S., Cao, J.D.: Stochastic Synchronization of Coupled Neural Networks with Intermittent Control. Phys. Lett. A 373, 3259–3272 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  9. Zheng, S., Dong, G.G., Bi, Q.S.: Impulsive Synchronization of Complex Networks with Non-Delayed Coupling. Phys. Lett. A 373, 4255–4259 (2009)

    Article  MATH  Google Scholar 

  10. Meng, J., Wang, X.Y.: Generalized Projective Synchronization of a Class of Delayed Neural Networks. Mod. Phys. Lett. B 22, 181–190 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  11. Zhang, D., Xu, J.: Projective Synchronization of Different Chaotic Time-Delayed Neural Networks Based on Integral Sliding Mode Controller. Appl. Math. Comp. 217, 164–174 (2010)

    Article  MATH  Google Scholar 

  12. Wang, Z.D., Wang, Y., Liu, Y.R.: Global Synchronization for Discrete-Time Stochastic Complex Networks with Randomly Occurred Nonlinearities and Mixed Time Delays. IEEE Trans. Neur. Netw. 21, 11–25 (2010)

    Article  Google Scholar 

  13. Wang, K., Teng, Z.D., Jiang, H.J.: Adaptive Synchronization of Neural Networks with Time-Varying Delay and Distributed Delay. Phys. A 387, 631–642 (2008)

    Article  Google Scholar 

  14. Cai, G.L., Yao, Q., Shao, H.J.: Global Synchronization of Weighted Cellular Neural Networks with Time-Varying Coupling Delay. Comm. Nonlin. Sci. Numer. Simul. 17, 3843–3847 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  15. Tang, Y., Qiu, R.H., Fang, J.A., Miao, Q.Y., Xia, M.: Adaptive Lag Synchronization in Unknown Stochastic Caotic Neural Networks with Discrete and Distributed Time-Varying Delays. Phys. Lett. A 372, 4425–4433 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  16. Hu, C., Yu, J., Jiang, H.J.: Exponential Lag Synchronization for Neural Networks with Mixed Delays via Periodically Intermittent Control. Chaos 20, 1–8 (2010)

    MathSciNet  Google Scholar 

  17. Ding, W., Han, M.A., Li, M.L.: Exponential Lag Synchronization of Delayed Fuzzy Cellular Neural Networks with Impulses. Phys. Lett. A 373, 832–837 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  18. Wu, X.J., Lu, H.T.: Adaptive Generalized Function Projective Lag Synchronization of Different Chaotic Systems with Fully Uncertain Parameters. Chaos, Solitons & Fractals 44, 802–810 (2011)

    Article  Google Scholar 

  19. Amy, L., William, S.: The Kronecker Product and Stochastic Automata Networks. J.Comp. Appl. Math. 167, 429–447 (2004)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Nonlinear Scientific Research center, Jiangsu University, Zhenjiang, Jiangsu, 212013, China

    Guoliang Cai, Hao Ma & Xiangqian Gao

  2. Junior College, Zhejiang Wanli University, Ningbo, Zhejiang, 315100, China

    Xianbin Wu

Authors
  1. Guoliang Cai
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hao Ma
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Xiangqian Gao
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Xianbin Wu
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. School of Information and Communication Engineering, Dalian University of Technology, A 530, Chuangxinyuan Building, 116023, Dalian, China

    Chengan Guo

  2. Institute of Automation, Chinese Academy of Sciences, 100864, Beijing, China

    Zeng-Guang Hou

  3. School of Automation, Huazhong University of Science and Technology, 430074, Wuhan, China

    Zhigang Zeng

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Cai, G., Ma, H., Gao, X., Wu, X. (2013). Generalized Function Projective Lag Synchronization between Two Different Neural Networks. In: Guo, C., Hou, ZG., Zeng, Z. (eds) Advances in Neural Networks – ISNN 2013. ISNN 2013. Lecture Notes in Computer Science, vol 7951. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39065-4_16

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-39065-4_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-39064-7

  • Online ISBN: 978-3-642-39065-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation