AAM  >> Vol. 4 No. 2 (May 2015)

    Controllability of Linear Discrete-Time Systems with Time-Delay in State

  • 全文下载: PDF(315KB) HTML   XML   PP.83-89   DOI: 10.12677/AAM.2015.42011  
  • 下载量: 896  浏览量: 4,013   国家自然科学基金支持


张娟娟,高彩霞:内蒙古大学数学科学学院,内蒙古 呼和浩特

能控性状态时滞离散线性系统基于数据的方法Controllability Time-Delay in State Linear Discrete-Time System Data-Based Method



In this paper, a data-based method is used to analyze the controllability of linear discrete-time systems with time-delay in state. By this method, one can directly construct a controllability matrix using the measured state data without identifying system parameters. Hence, one can save time in practice and avoid corresponding identification errors. Moreover, it is feasible to the study of characteristics of deterministic systems.

张娟娟, 高彩霞. 状态时滞的离散线性系统的能控性分析[J]. 应用数学进展, 2015, 4(2): 83-89. http://dx.doi.org/10.12677/AAM.2015.42011


[1] Klamka, J. (1977) Absolute controllability of linear systems with time-variable delays in control. International Journal of Control, 26, 57-63.
[2] Jakubczyk, B. and Sontag, E. (1990) Controllability of nonlinear discrete-time systems: A lie-algebraic approach. SIAM Journal on Control and Optimization, 28, 1-33.
[3] Zhao, S. and Sun, J. (2009) Con-trollability and observability for a class of time-varying impulsive systems. Nonlinear Analysis: Real World Applications, 10, 1370-1380.
[4] Liu, Y. and Zhao, S. (2011) Controllability for a class of linear time-varying impulsive systems with time delay in control input. IEEE Transactions on Automatic Control, 56, 395-399.
[5] Murthy, D. (1986) Controllability of a linear positive dynamic system. International Journal of Systems Science, 17, 49-54.
[6] Rumchev, V. and James, D. (1989) Controllability of positive linear discrete-time systems. International Journal of Control, 50, 845-857.
[7] Fanti, M., Maione, B. and Turchiano, B. (1990) Controllability of multi-input positive discrete-time systems. International Journal of Control, 51, 1295-1308.
[8] Valcher, M. (1996) Controllability and reachability criteria for discrete time positive systems. International Journal of Control, 65, 511-536.
[9] Phat, V. (1989) Controllability of discrete-time systems with multiple delays on controls and states. International Journal of Control, 49, 1645-1654.
[10] Liu, Y. and Fong, I. (2012) On the controllability and observability of discrete-time linear time-delay systems. International Journal of Systems Science, 43, 610-621.
[11] Yang, P., Xie, G. and Wang, L. (1999) Controllability of linear discrete-time systems with time-delay in state. http://dean.pku.edu.cn/bksky/1999tzlwj/5.pdf
[12] Wang, Z. and Liu, D. (2011) Data-based controllability and obser-vability analysis of linear discrete-time systems. IEEE Transactions on Neural Networks, 22, 2388-2392.