Stabilization for Discrete-Time Stochastic Systems with Multiple Input Delays

1. Chang M H, Pang T, and Yang Y, A stochastic portfolio optimization model with bounded memory, Mathematics of Operations Research, 2011, 36(4): 604–619.

   Article  MathSciNet  MATH  Google Scholar 

2. Schenato L, Sinopoli B, Franceschetti M, et al., Foundations of control and estimation over lossy networks, Proceedings of the IEEE, 2007, 95(1): 163–187.

   Article  Google Scholar 

3. Chen Y, Wang Z, Liu Y, et al., Stochastic stability for distributed delay neural networks via augmented Lyapunov-Krasovskii functionals, Applied Mathematics and Computation, 2018, 338(12): 869–881.

   Article  MathSciNet  MATH  Google Scholar 

4. Egorov A V and Mondié S, Necessary stability conditions for linear delay systems, Automatica, 2014, 50(12): 3204–3208.

   Article  MathSciNet  MATH  Google Scholar 

5. Song B, Park J H, Wu Z, et al., New results on delay-dependent stability analysis and stabilization for stochastic time-delay systems, International Journal of Robust and Nonlinear Control, 2014, 24(16): 2546–2559.

   Article  MATH  Google Scholar 

6. Verriest E I and Ivanov A F, Robust stability of systems with delayed feedback, Circuits Systems & Signal Processing, 1994, 13(2–3): 213–222.

   Article  MathSciNet  MATH  Google Scholar 

7. Cacace F and Germani A, Output feedback control of linear systems with input, state and output delays by chain of predictors, Automatica, 2017, 85(11): 455–461.

   Article  MathSciNet  MATH  Google Scholar 

8. Luo S and Deng F, Stabilization of hybrid stochastic systems in the presence of asynchronous switching and input delay, Nonlinear Analysis: Hybrid Systems, 2019, 32(5): 254–266.

   MathSciNet  MATH  Google Scholar 

9. Tan C, Yang L, Zhang F, et al., Stabilization of discrete time stochastic system with input delay and control dependent noise, Systems & Control Letters, 2019, 123(1): 62–68.

   Article  MathSciNet  MATH  Google Scholar 

10. Verriest E I, Stability and stabilization of stochastic systems with distributed delays, IEEE Conference on Decision & Control, 1996.

11. Zhou B, Liu Q, and Mazenc F, Stabilization of linear systems with both input and state delays by observer-predictors, Automatica, 2017, 83(9): 368–377.

    Article  MathSciNet  MATH  Google Scholar 

12. Song T and Liu B, Forward-backward linear-quadratic optimal control and stabilization problems for discrete-time stochastic delayed system, IFAC Journal of Systems and Control, 2020, 13, https://doi.org/10.1016/j.ifacsc.2020.100093.

13. Saravanakumar R, Mukaidani H, and Muthukumar P, Extended dissipative state estimation of delayed stochastic neural networks, Neurocomputing, 2020, 406(9): 244–252.

    Article  Google Scholar 

14. Yang F, Wang Z, and Hung Y S, Robust Kalman filtering for discrete time-varying uncertain systems with multiplicative noises, IEEE Transactions on Automatic Control, 2002, 47(7): 1179–1183.

    Article  MathSciNet  MATH  Google Scholar 

15. Gao R, Xu J, Li W, et al., A necessary and sufficient RHC stabilizability condition for stochastic control with delayed input, Applied Mathematics and Computation, 2019, 360(11): 122–130.

    Article  MathSciNet  MATH  Google Scholar 

16. Gao R, Xu J, and Zhang H, Receding horizon control for multiplicative noise stochastic systems with input delay, Automatica, 2017, 81(7): 390–396.

    Article  MathSciNet  MATH  Google Scholar 

17. Zhang H, Li L, Xu J, et al., Linear quadratic regulation and stabilization of discrete-time systems with delay and multiplicative noise, IEEE Transactions on Automatic Control, 2015, 60(10): 2599–2613.

    Article  MathSciNet  MATH  Google Scholar 

18. Gao R and Zhang H, Stabilization for stochastic discrete-time systems with multiplicative noise and multiple input delay, IEEE International Conference on Control & Automation, 2017, 325–328, DOI: https://doi.org/10.1109/ICCA.2017.8003081.

19. Li L and Zhang H, Stabilization of discrete-time systems with multiplicative noise and multiple delays in the control variable, SIAM Journal on Control and Optimization, 2016, 54(2): 894–917.

    Article  MathSciNet  MATH  Google Scholar 

20. Li L, Zhang H, and Fu M, Stabilization for discrete-time stochastic systems with multiple input delays, Proceedings of 10th Asian Control Conference, Kota Kinabalu, 2015, DOI: https://doi.org/10.1109/ASCC.2015.7244725.

21. Li L, Zhang H, and Wang Y, Stabilization and optimal control of discrete-time systems with multiplicative noise and multiple input delays, Systems & Control Letters, 2021, 147(12): 104833.

    Article  MathSciNet  MATH  Google Scholar 

22. Elia N, Remote stabilization over fading channels, Systems & Control Letters, 2005, 54(3): 237–249.

    Article  MathSciNet  MATH  Google Scholar 

23. Xiao N, Xie L, and Qiu L, Feedback stabilization of discrete-time networked systems over fading channels, IEEE Transactions on Automatic Control, 2012, 57(9): 2176–2189.

    Article  MathSciNet  MATH  Google Scholar 

24. Armaou A and Ataei A, Piece-wise constant predictive feedback control of nonlinear systems, Journal of Process Control, 2014, 24(4): 326–335.

    Article  Google Scholar 

25. Ross S, Introduction to Stochastic Dynamic Programming, Academic Press, New York, 1983.

    MATH  Google Scholar 

26. Cloosterman M B G, Hetel L, Wouw N van de, et al., Controller synthesis for networked control systems, Automatica, 2010, 46(10): 1584–1594.

    Article  MathSciNet  MATH  Google Scholar 

27. Nilsson J, Bernhardsson B, and Wittenmark B, Stochastic analysis and control of real-time systems with random time delays, Autumatica, 1998, 34(1): 57–64.

    Article  MathSciNet  MATH  Google Scholar 

28. Zhang W and Yu L, Modelling and control of networked control systems with both network-induced delay and packed-dropout, Automatica, 2008, 44(12): 3206–3210.

    Article  MathSciNet  MATH  Google Scholar 

Download references