References

• 1. 1)
     • 5. Zhang, Y.: ‘Global exponential stability of delay difference equations with delayed impulses’, Math. Comput. Simul., 2017, 132, pp. 183–194.
  2. 2)
     • 13. Bouzerdoum, A., Pattison, T.R.: ‘Neural network for quadratic optimization with bound constraints’, IEEE Trans. Neural Netw., 1993, 4, (2), pp. 293–304.
  3. 3)
     • 30. Ai, Z., Chen, C.: ‘Asymptotic stability analysis and design of nonlinear impulsive control systems’, Nonlinear Anal., Hybrid Syst., 2017, 24, pp. 244–252.
  4. 4)
     • 32. Yang, X., Li, C., Huang, T., et al: ‘Mittag-Leffler stability analysis of nonlinear fractional-order systems with impulses’, Appl. Math. Comput., 2017, 293, pp. 416–422.
  5. 5)
     • 14. Hu, T., Lin, Z.: ‘Control systems with actuator saturation: analysis and design’ (Birkhäuser, Boston, 2001).
  6. 6)
     • 37. Zhang, W., Tang, Y., Wu, X., et al: ‘Synchronization of nonlinear dynamical networks with heterogeneous impulses’, IEEE Trans. Circuits Syst. I, Regul. Pap., 2014, 61, (4), pp. 1220–1228.
  7. 7)
     • 10. Zhang, W., Li, C., Huang, T., et al: ‘Synchronization of memristor-based coupling recurrent neural networks with time-varying delays and impulses’, IEEE Trans. Neural Netw. Learn. Syst., 2015, 26, (12), pp. 3308–3313.
  8. 8)
     • 22. Li, L., Li, C., Li, H.: ‘Fully state constraint impulsive control for non-autonomous delayed nonlinear dynamic systems’, Nonlinear Anal. Hybrid Syst., 2018, 29, pp. 383–394.
  9. 9)
     • 3. Su, X., Liu, X., Shi, P., et al: ‘Sliding mode control of discrete-time switched systems with repeated scalar nonlinearities’, IEEE Trans. Autom. Control, 2017, 62, (9), pp. 4604–4610.
  10. 10)
      • 12. Huang, T., Li, C., Yu, W., et al: ‘Synchronization of delayed chaotic systems with parameter mismatches by using intermittent linear state feedback’, Nonlinearity, 2009, 22, pp. 569–584.
  11. 11)
      • 29. Xu, L., Li, J., Ge, S.: ‘Impulsive stabilization of fractional differential systems’, ISA Trans., 2017, 70, pp. 125–131.
  12. 12)
      • 2. Mohamad, S., Naim, A.G.: ‘Discrete-time analogues of integrodifferential equations modelling bidirectional neural networks’, J. Comput. Appl. Math., 2002, 138, (1), pp. 1–20.
  13. 13)
      • 8. Liu, X., Zhang, K.: ‘Impulsive control for stabilisation of discrete delay systems and synchronisation of discrete delay dynamical networks’, IET Control Theory Appl., 2014, 8, (13), pp. 1185–1195.
  14. 14)
      • 20. Li, C., Yu, X., Huang, T., et al: ‘A generalized Hopfield network for nonsmooth constrained convex optimization: Lie derivative approach’, IEEE Trans. Neural Netw. Learn. Syst., 2016, 27, pp. 308–321.
  15. 15)
      • 34. Liu, Y., Wang, Z., Liang, J., et al: ‘Synchronization and state estimation for discrete-time complex networks with distributed delays’, IEEE Trans. Syst. Man Cybern. B, 2008, 38, (5), pp. 1314–1325.
  16. 16)
      • 28. Li, X.: ‘New results on global exponential stabilization of impulsive functional differential equations with infinite delays or finite delays’, Nonlinear Anal., Real World Appl., 2010, 11, pp. 4194–4201.
  17. 17)
      • 9. Li, X., Song, S.: ‘Stabilization of delay systems: delay-dependent impulsive control’, IEEE Trans. Autom. Control, 2017, 62, (1), pp. 406–411.
  18. 18)
      • 27. Homer, T., Mhaskar, P.: ‘Constrained control Lyapunov function-based control of nonlinear systems’, Syst. Control Lett., 2017, 110, pp. 55–61.
  19. 19)
      • 23. Li, L., Li, C., Li, H.: ‘An analysis and design for time-varying structures dynamical networks via state constraint impulsive control’, Int. J. Control, 2018, Doi: 10.1080/00207179.2018.1459861.
  20. 20)
      • 19. He, W., Chen, Y., Yin, Z.: ‘Adaptive neural network control of an uncertain robot with full-state constraints’, IEEE Trans. Cybern., 2016, 46, (3), pp. 620–629.
  21. 21)
      • 38. Yang, S., Li, C., Huang, T.: ‘State-dependent impulsive synchronisation of complex dynamical networks with non-linear coupling’, IET Control Theory Appl., 2018, 12, (9), pp. 1189–1200.
  22. 22)
      • 33. Wei, L., Chen, W.: ‘Global exponential stability of a class of impulsive neural networks with unstable continuous and discrete dynamics’, Neurocomputing, 2015, 147, pp. 225–234.
  23. 23)
      • 26. Liu, Y., Lu, S., Tong, S., et al: ‘Adaptive control-based barrier Lyapunov functions for a class of stochastic nonlinear systems with full state constraints’, Automatica, 2018, 87, pp. 83–93.
  24. 24)
      • 35. Huang, T., Li, C., Duan, S.: , et al ‘Robust exponential stability of uncertain delayed neural networks with stochastic perturbation and impulse effects’, IEEE Trans. Neural Netw. Learn. Syst., 2012, 23, pp. 866–875.
  25. 25)
      • 15. Hou, L., Michel, A.N.: ‘Asymptotic stability of systems with saturation constraints’, IEEE Trans. Autom. Control, 1998, 43, (8), pp. 1148–1154.
  26. 26)
      • 36. Li, Z., Fang, J., Tang, Y., et al: ‘Consensus of linear discrete-time multi-agent systems: A low-gain distributed impulsive strategy’, IEEE Trans. Syst. Man Cybern., Syst., 2017, doi:10.1109/TSMC.2017.2692259.
  27. 27)
      • 31. Li, C., Zhou, Y., Wang, H., et al: ‘Stability of nonlinear systems with variable-time impulses: B-equivalence method’, Int. J. Control Autom. Syst., 2017, 15, (5), pp. 2072–2079.
  28. 28)
      • 11. Khadra, A., Liu, X., Shen, X.: ‘Analyzing the robustness of impulsive synchronization coupled by linear delayed impulses’, IEEE Trans. Autom. Control, 2009, 54, (4), pp. 923–928.
  29. 29)
      • 40. Zhang, W., Tang, Y., Miao, Q., et al: ‘Exponential synchronization of coupled switched neural networks with mode-dependent impulsive effects’, IEEE Trans. Neural Netw. Learn. Syst., 2013, 24, (8), pp. 1316–1326.
  30. 30)
      • 39. Li, H., Li, C., Huang, T., et al: ‘Fixed-time stability and stabilization of impulsive dynamical systems’, J. Franklin Inst., 354, 2017, 18, pp. 8626–8644.
  31. 31)
      • 1. Liu, D., Michel, A.N.: ‘Stability analysis of systems with partial state saturation nonlinearities’, IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., 1996, 43, (3), pp. 230–232.
  32. 32)
      • 6. Zhou, Y., Li, C., Chen, L., et al: ‘Global exponential stability of memristive Cohen–Grossberg neural networks with mixed delays and impulse time window’, Neurocomputing, 2018, 275, pp. 2384–2391.
  33. 33)
      • 25. Hu, T., Lin, Z.: ‘A complete stability analysis of planar discrete-time linear systems under saturation’, IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., 2001, 48, (6), pp. 710–725.
  34. 34)
      • 16. Johnson, E., Calise, A.: ‘Neural network adaptive control of systems with input saturation’. Proc. of the American Control Conf., Vancouver, Canada, 2001, vol. 5, pp. 3527–3532.
  35. 35)
      • 21. Li, Z., Fang, J., Huang, T., et al: ‘Impulsive synchronization of discrete-time networked oscillators with partial input saturation’, Inf. Sci., 2018, 422, pp. 531–541.
  36. 36)
      • 18. Tee, K., Ge, S., Tay, E.: ‘Barrier Lyapunov functions for the control of output-constrained nonlinear systems’, Automatica, 2009, 45, (4), pp. 918–927.
  37. 37)
      • 17. Liu, Y., Tong, S.: ‘Barrier Lyapunov functions for Nussbaum gain adaptive control of full state constrained nonlinear systems’, Automatica, 2017, 76, pp. 143–152.
  38. 38)
      • 4. Hei, X., Wu, R.: ‘Finite-time stability of impulsive fractional-order systems with time-delay’, Appl. Math. Model., 2016, 40, pp. 4285–4290.
  39. 39)
      • 7. Zhang, Y.: ‘Exponential stability of impulsive discrete systems with time delays’, Appl. Math. Lett., 2012, 25, (12), pp. 2290–2297.
  40. 40)
      • 24. Michel, A.N., Si, J., Yen, G.: ‘Analysis and synthesis of a class of discrete-time neural networks described on hypercubes’, IEEE Trans. Neural Netw., 1991, 2, (1), pp. 32–46.