Skip to main content
SpringerLink
Log in

Finite-time lag synchronization for uncertain complex networks involving impulsive disturbances

  • Special Issue on Computational Intelligence-based Control and Estimation in Mechatronic Systems
  • Published:
Neural Computing and Applications Aims and scope Submit manuscript

Abstract

This paper focuses on the finite-time lag synchronization (FTLS) of uncertain complex networks involving impulsive disturbance effects. By designing two different controllers, some Lyapunov-based conditions are established in terms of linear matrix inequalities to ensure the FTLS of impulsive systems, where the upper bound of the synchronizing times can be estimated via constructing Lyapunov functions. It is interesting to discover that the synchronizing time depends not only on the initial value but also on the impulse sequences, which implies that different impulses will lead to different synchronization times. Finally, a numerical example is given to illustrate the feasibility and effectiveness of the proposed FTLS criterion.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

References

  1. Pecora L, Carroll T (1999) Master stability functions for synchronized coupled systems. Int J Bifurc Chaos 9(12):2315–2320

    Article  Google Scholar 

  2. Mirollo RE, Strogatz SH (1990) Synchronization of pulse-coupled biological oscillators. SIAM J Appl Math 50(6):1645–1662

    Article  MathSciNet  Google Scholar 

  3. Lu J, Ho DWC, Cao J (2010) A unified synchronization criterion for impulsive dynamical networks. Automatica 46:1215–1221

    Article  MathSciNet  Google Scholar 

  4. Yang X, Lu J (2016) Finite-time synchronization of coupled networks with Markovian topology and impulsive effects. IEEE Trans Autom Control 61(8):2256–2261

    Article  MathSciNet  Google Scholar 

  5. Cai C, Wang Z, Xu J, Liu X, Alsaadi FE (2015) An integrated approach to global synchronization and state estimation for nonlinear singularly perturbed complex networks. IEEE Trans Cybern 45(8):1597–1609

    Article  Google Scholar 

  6. Boccaletti S, Kurths J, Osipov G, Valladares DL, Zhou CS (2002) The synchronization of chaotic systems. Phys Rep 366:1–101

    Article  MathSciNet  Google Scholar 

  7. Wang X, She K, Zhong S, Yang H (2019) Lag synchronization analysis of general complex networks with multiple time-varying delays via pinning control strategy. Neural Comput Appl 31:43–53

    Article  Google Scholar 

  8. Fell J, Axmacher N (2011) The role of phase synchronization in memory processes. Nat Rev Neurosci 12(2):105–118

    Article  Google Scholar 

  9. Masoller C, Zanette NH (2001) Anticipated synchronization in coupled chaotic maps with delays. Phys A Stat Mech Appl 300(3–4):359–366

    Article  Google Scholar 

  10. Lv X, Li X, Cao J, Duan P (2018) Exponential synchronization of neural networks via feedback control in complex environment. Complexity 2018:1–13

    MATH  Google Scholar 

  11. Yang D, Li X, Qiu J (2019) Output tracking control of delayed switched systems via state-dependent switching and dynamic output feedback. Nonlinear Anal Hybrid Syst 32:294–305

    Article  MathSciNet  Google Scholar 

  12. Li X, Yang X, Huang T (2019) Persistence of delayed cooperative models: impulsive control method. Appl Math Comput 342:130–146

    MathSciNet  MATH  Google Scholar 

  13. Li C, Liao X, Wong KW (2004) Chaotic lag synchronization of coupled time-delayed systems and its applications in secure communication. Physica D Nonlinear Phenomena 194(3–4):187–202

    Article  MathSciNet  Google Scholar 

  14. Zhou J, Chen T, Xiang L (2005) Chaotic lag synchronization of coupled delayed neural networks and its applications in secure communication. Circuits Syst Signal Process 24(5):599–613

    Article  MathSciNet  Google Scholar 

  15. Yu W, Cao J (2012) Adaptive synchronization and lag synchronization of uncertain dynamical system with time delay based on parameter identification. Phys A Stat Mech Appl 375(2):467–482

    Article  Google Scholar 

  16. Fan Y, Huaqing L, Guo C, Dawen X, Qi H (2019) Cluster lag synchronization of delayed heterogeneous complex dynamical networks via intermittent pinning control. Neural Comput Appl 31:7945–7961

    Article  Google Scholar 

  17. Du H, Li S, Qian C (2011) Finite-time attitude tracking control of spacecraft with application to attitude synchronization. IEEE Trans Autom Control 56(11):2711–2717

    Article  MathSciNet  Google Scholar 

  18. Mei J, Jiang M, Xu W, Wang B (2013) Finite-time synchronization control of complex dynamical networks with time delay. Commun Nonlinear Sci Numer Simul 18(9):2462–2478

    Article  MathSciNet  Google Scholar 

  19. Bhat SP, Bernstein DS (1997) Finite-time stability of homogeneous systems. In: American control conference

  20. Hong Y, Wang J, Cheng D (2006) Adaptive finite-time control of nonlinear systems with parametric uncertainty. IEEE Trans Autom Control 51(5):858–862

    Article  MathSciNet  Google Scholar 

  21. Ren F, Jiang M, Xu H, Fang X (2020) New finite-time synchronization of memristive Cohen–Grossberg neural network with reaction–diffusion term based on time-varying delay. Neural Comput Appl. https://doi.org/10.1007/s00521-020-05259-x

    Article  Google Scholar 

  22. Li X, Ho D, Cao J (2019) Finite-time stability and settling-time estimation of nonlinear impulsive systems. Automatica 99:361–368

    Article  MathSciNet  Google Scholar 

  23. Li S, Tian Y (2003) Finite time synchronization of chaotic systems. Chaos Solitons Fractals 15(2):303–310

    Article  MathSciNet  Google Scholar 

  24. Huang J, Li C, Huang T, He X (2014) Finite-time lag synchronization of delayed neural networks. Neurocomputing 139:145–149

    Article  Google Scholar 

  25. Wang J, Zhang H, Wang Z, Gao DW (2017) Finite-time synchronization of coupled hierarchical hybrid neural networks with time-varying delays. IEEE Trans Cybern 47(10):2995–3004

    Article  Google Scholar 

  26. Jing T, Chen F, Zhang X (2016) Finite-time lag synchronization of time-varying delayed complex networks via periodically intermittent control and sliding mode control. Neurocomputing 199(26):178–184

    Article  Google Scholar 

  27. Wang H, Shi L, Man Z, Zheng J, Li S, Yu M, Jiang C, Kong H, Cao Z (2018) Continuous fast nonsingular terminal sliding mode control of automotive electronic throttle systems using finite-time exact observer. IEEE Trans Ind Electron 65(9):7160–7172

    Article  Google Scholar 

  28. Aghababa MP (2012) Finite-time chaos control and synchronization of fractional-order nonautonomous chaotic (hyperchaotic) systems using fractional nonsingular terminal sliding mode technique. Nonlinear Dyn 69:247–261

    Article  MathSciNet  Google Scholar 

  29. Khanzadeh A, Pourgholi M (2016) Robust synchronization of fractional-order chaotic systems at a pre-specified time using sliding mode controller with time-varying switching surfaces. Chaos Solitons Fractals 91:69–77

    Article  MathSciNet  Google Scholar 

  30. Vincent UE, Guo R (2011) Finite-time synchronization for a class of chaotic and hyperchaotic systems via adaptive feedback controller. Phys Lett A 375(24):2322–2326

    Article  Google Scholar 

  31. Li D, Cao J (2015) Global finite-time output feedback synchronization for a class of high-order nonlinear systems. Nonlinear Dyn 82:1027–1037

    Article  MathSciNet  Google Scholar 

  32. Zhang X, Li X, Cao J, Miaadi F (2018) Design of memory controllers for finite-time stabilization of delayed neural networks with uncertainty. J Frankl Inst 355:5394–5413

    Article  MathSciNet  Google Scholar 

  33. Wang L, Shen Y, Ding Z (2015) Finite time stabilization of delayed neural networks. Neural Netw Off J Int Neural Netw Soc 70:74–80

    Article  Google Scholar 

  34. Yang X, Li X, Xi Q, Duan P (2018) Review of stability and stabilization for impulsive delayed systems. Math Biosci Eng 15(6):1495–1515

    Article  MathSciNet  Google Scholar 

  35. Wang X, Liu X, She K, Zhong S (2017) Finite-time lag synchronization of master-slave complex dynamical networks with unknown signal propagation delays. J Frankl Inst 354(12):4913–4929

    Article  MathSciNet  Google Scholar 

  36. Al-Mahbashi G, Noorani MSM (2019) Finite-time lag synchronization of uncertain complex dynamical networks with disturbances via sliding mode control. IEEE Access 7:7082–7092

    Article  Google Scholar 

  37. Dong Y, Chen J, Xian J (2018) Event-triggered control for finite-time lag synchronisation of time-delayed complex networks. IET Control Theory Appl 12(14):1916–1923

    Article  MathSciNet  Google Scholar 

  38. Hu J, Sui G, Lv X, Li X (2018) Fixed-time control of delayed neural networks with impulsive perturbations. Nonlinear Anal Modell Control 23(6):904–920

    Article  MathSciNet  Google Scholar 

  39. Hu Y, Wang H, He S, Zheng J, Ping Z, Shao K, Cao Z, Man Z (2021) Adaptive tracking control of an electronic throttle valve based on recursive terminal sliding mode. IEEE Trans Veh Technol 70(1):251–262

    Article  Google Scholar 

  40. Hu Y, Wang H (2020) Robust tracking control for vehicle electronic throttle using adaptive dynamic sliding mode and extended state observer. Mech Syst Signal Process 135:1–18

    Article  Google Scholar 

Download references

Acknowledgements

This work was supported by National Natural Science Foundation of China (61673247) and the Research Fund for Excellent Youth Scholars of Shandong Province (JQ201719). The paper has not been presented at any conference.

Author information

Authors and Affiliations

  1. School of Mathematics and Statistics, Shandong Normal University, Ji’nan, 250014, People’s Republic of China

    Xueyan Yang & Xiaodi Li

  2. Shandong Province Key Laboratory of Medical Physics and Image Processing Technology, Shandong Normal University, Ji’nan, 250014, People’s Republic of China

    Xiaodi Li

  3. School of Information Science and Engineering, Shandong Normal University, Ji’nan, 250014, People’s Republic of China

    Peiyong Duan

Authors
  1. Xueyan Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Xiaodi Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Peiyong Duan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Xiaodi Li.

Ethics declarations

Conflict of interest

The authors declare that none of the authors have any competing interests in the manuscript.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yang, X., Li, X. & Duan, P. Finite-time lag synchronization for uncertain complex networks involving impulsive disturbances. Neural Comput & Applic 34, 5097–5106 (2022). https://doi.org/10.1007/s00521-021-05987-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00521-021-05987-8

Keywords

Search

Navigation