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对2-D系统理论中尚少有文献涉及的2-D系统有关综合问题进行了初步探讨。主要研究了系统在受到外干扰时利用状态反馈消除该干扰在系统实际输出中的影响问题,以及在系统的输入为零时利用状态反馈使系统的输出响应零化的问题。文中得到了这两个问题可解的充分条件,并同时给出了相应的解法和算法。研究结果表明:与1-D的相应问题相比,对系统实施“稳定的2-D综合”具有实质性的困难。这些结果为进一步开展2-D系统的综合设计研究,奠定了一个坚实的基础。
The 2-D system theory is still little literature involved in the 2-D system related to a comprehensive discussion of the issue. This paper mainly studies the problem that the system uses state feedback to eliminate the influence of the disturbance on the actual output of the system when it is disturbed by the external disturbance and makes the output response of the system zero by the state feedback when the input of the system is zero. In this paper, the sufficient conditions for the solvability of these two problems are obtained, and the corresponding solutions and algorithms are also given. The results show that: Compared with the corresponding problems of 1-D, the system implementation of “stable 2-D synthesis” has substantial difficulties. These results have laid a solid foundation for further research on the comprehensive design of 2-D systems.