Delayed impulsive stabilisation of discrete-time systems: a periodic event-triggering algorithm

References

• Bruneel, H., & Kim, B. G. (1993). Discrete-time models for communication systems including ATM. Kluwer.
   Google Scholar
• Chen, W.-H., Lu, X., & Zheng, W. X. (2015). Impulsive stabilization and impulsive synchronization of discrete-time delayed neural networks. IEEE Transactions on Neural Networks and Learning Systems, 26(4), 734–748. https://doi.org/10.1109/TNNLS.2014.2322499
   PubMed Web of Science ®Google Scholar
• Eqtami, A., Dimarogonas, V., & Kyriakopoulos, K. (2010). Event-triggered control for discrete-time systems. In Proceedings of the 2010 American control conference (pp. 4719–4724).
   Google Scholar
• Gommans, T. M. P., & Heemels, W. P. M. H. (2015). Resource-aware MPC for constrained nonlinear systems: A self-triggered control approach. Systems & Control Letters, 79, 59–67. https://doi.org/10.1016/j.sysconle.2015.03.003
   Web of Science ®Google Scholar
• Guan, Z.-H., & Liu, N. (2010). Generating chaos for discrete time-delayed systems via impulsive control. Chaos: An Interdisciplinary Journal of Nonlinear Science, 20, 013135. https://doi.org/10.1063/1.3266929
   PubMed Web of Science ®Google Scholar
• Han, Y., Kao, Y., & Gao, C. (2017). Robust sliding mode control for uncertain discrete singular systems with time-varying delays and external disturbances. Automatica, 75, 210–216. https://doi.org/10.1016/j.automatica.2016.10.001
   Web of Science ®Google Scholar
• Heemels, W. P. M. H., Johansson, K. H., & Tabuada, P. (2012). An introduction to event-triggered and self-triggered control. In The 51st IEEE conference on decision and control (pp. 3270–3285).
   Google Scholar
• Henriksson, E., Quevedo, D. E., Sandberg, H., & Johansson, K. H. (2012). Self-triggered model predictive control for network scheduling and control. In The 8th IFAC symposium on advanced control of chemical processes (pp. 432–438).
   Google Scholar
• Li, H., Fang, J., Li, X., Rutkowski, L., & Huang, T. (2020). Event-triggered impulsive synchronization of discrete-time coupled neural networks with stochastic perturbations and multiple delays. Neural Networks, 132, 447–460. https://doi.org/10.1016/j.neunet.2020.09.012
   PubMed Web of Science ®Google Scholar
• Li, X., & Song, S. (2016). Stabilization of delay systems: Delay-dependent impulsive control. IEEE Transactions on Automatic Control, 62(1), 406–411. https://doi.org/10.1109/TAC.2016.2530041
   Web of Science ®Google Scholar
• Liu, B., & Hill, D. J. (2014). Stability via hybrid-event-time Lyapunov function and impulsive stabilization for discrete-time delayed switched systems. SIAM Journal on Control and Optimization, 52(2), 1338–1365. https://doi.org/10.1137/110839096
   Web of Science ®Google Scholar
• Liu, B., Hill, D. J., & Sun, Z. (2018). Input-to-state exponents and related ISS for delayed discrete-time systems with application to impulsive effects. International Journal of Robust and Nonlinear Control, 28(2), 640–660. https://doi.org/10.1002/rnc.v28.2
   Web of Science ®Google Scholar
• Liu, B., Hill, D. J., Sun, Z., & Huang, J. (2019). Event-triggered control via impulses for exponential stabilization of discrete-time delayed systems and networks. International Journal of Robust Nonlinear Control, 29(6), 1613–1638. https://doi.org/10.1002/rnc.v29.6
   Web of Science ®Google Scholar
• Liu, B., Hill, D. J., Zhang, C., & Sun, Z. (2018). Stabilization of discrete-time dynamical systems under event-triggered impulsive control with and without time-delays. Journal of Systems Science and Complexity, 31, 130–146. https://doi.org/10.1007/s11424-018-7135-7
   Web of Science ®Google Scholar
• Liu, B., & Marquez, H. J. (2007). Quasi-exponential input-to-state stability for discrete-time impulsive hybrid systems. International Journal of Control, 80(4), 540–554. https://doi.org/10.1080/00207170601161773
   Web of Science ®Google Scholar
• Liu, X., & Chen, T. (2002). A new result on the global convergence of Hopfield neural networks. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 49(10), 1514–1516. https://doi.org/10.1109/TCSI.2002.803358
   Google Scholar
• Liu, X., & Zhang, K. (2019). Impulsive systems on hybrid time domains. Springer.
   Google Scholar
• Mazo, M., Anta, A., & Tabuada, P. (2010). An ISS self-triggered implementation of linear controllers. Automatica, 46(8), 1310–1314. https://doi.org/10.1016/j.automatica.2010.05.009
   Web of Science ®Google Scholar
• Michel, A. N., Farrell, J. A., & Sun, H. F. (1990). Analysis and synthesis techniques for Hopfield type synchronous discrete time neural networks with application to associative memory. IEEE Transactions on Circuits and Systems, 37(11), 1356–1366. https://doi.org/10.1109/31.62410
   Google Scholar
• Ogata, K. (1995). Discrete-time control systems (2nd ed.). Prentice-Hall.
   Google Scholar
• Postoyan, R., Tabuada, P., Nešić, D., & Anta, A. (2014). A framework for the event-triggered stabilization of nonlinear systems. IEEE Transactions on Automatic Control, 60(4), 982–996. https://doi.org/10.1109/TAC.2014.2363603
   Web of Science ®Google Scholar
• Sarangapani, J. (2006). Neural network control of nonlinear discrete-time systems. CRC Press.
   Google Scholar
• Zhang, K., & Braverman, E. (2022). Event-triggered impulsive control for nonlinear systems with actuation delays. IEEE Transactions on Automatic Control, 68(1), 540–547. https://doi.org/10.1109/TAC.2022.3142127
   Web of Science ®Google Scholar
• Zhang, K., Braverman, E., & Gharesifard, B. (2023). Event-triggered control for discrete-time delay systems. Automatica, 147, 110688. https://doi.org/10.1016/j.automatica.2022.110688
   Web of Science ®Google Scholar
• Zhang, Y., Sun, J., & Feng, G. (2009). Impulsive control of discrete systems with time delay. IEEE Transactions on Automatic Control, 54(4), 830–834. https://doi.org/10.1109/TAC.2008.2010968
   Web of Science ®Google Scholar