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The Similar Structures and Control Problems of Complex Systems 被引量:1

The Similar Structures and Control Problems of Complex Systems
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摘要 In this paper, the naturally evolving complex systems, such as biotic and social ones, are considered. Focusing on their structures, a feature is noteworthy, i.e., the similarity in structures. The relations between the functions and behaviors of these systems and their similar structures will be studied. Owing to the management of social systems and the course of evolution of biotic systems may be regarded as control processes, the researches will be within the scope of control problems. Moreover, since it is difficult to model for biotic and social systems, it will start with the control problems of complex systems, possessing similar structures, in engineering. The obtained results show that for either linear or nonlinear systems and for a lot of control problems similar structures lead to a series of simplifications. In general, the original system may be decomposed into reduced amount of subsystems with lower dimensions and simpler structures. By virtue of such subsystems, the control problems of original system can be solved more simply. At last, it turns round to observe the biotic and social systems and some analyses are given. In this paper, the naturally evolving complex systems, such as biotic and social ones, are considered. Focusing on their structures, a feature is noteworthy, i.e., the similarity in structures. The relations between the functions and behaviors of these systems and their similar structures will be studied. Owing to the management of social systems and the course of evolution of biotic systems may be regarded as control processes, the researches will be within the scope of control problems. Moreover, since it is difficult to model for biotic and social systems, it will start with the control problems of complex systems, possessing similar structures, in engineering. The obtained results show that for either linear or nonlinear systems and for a lot of control problems similar structures lead to a series of simplifications. In general, the original system may be decomposed into reduced amount of subsystems with lower dimensions and simpler structures. By virtue of such subsystems, the control problems of original system can be solved more simply. At last, it turns round to observe the biotic and social systems and some analyses are given.
作者 张嗣瀛
出处 《系统仿真学报》 CAS CSCD 2002年第11期1455-1457,共3页 Journal of System Simulation
基金 国家自然科学基金项目(79970114)~~
关键词 复杂系统 相似结构 可控制性 complex systems similar structures control problems
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  • 1Sundareshan M K, Elbana R M.Qualitative analysis and decentralized controller synthesis for a class of large-scalesystems with symmetrically interconnected subsystems [J]. Automatica, 1991, 27: 383-388.
  • 2Hazewinkel M, Martin C. Symmetric linear systems: an application of algebraicsystem theory [J]. Int J Control, 1983, 37: 1371-1384.
  • 3Lunze J. Stability analysis of large-scale systems composed of strongly coupledsimilar subsystems [J]. Automatica, 1989, 25: 561-570.
  • 4Freeman. Mandelbrot B B. The Fractal Geometry of Nature [M]. San Francisco, 1982.

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