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ON COMPLEX DYNAMIC CONTROL SYSTEMS
作者姓名:CHENGDaizhan
作者单位:InstituteofSystemsScience,ChineseAcademyofSciences,Beijing100080,China
基金项目:This research is supported partly by key project of China G1998020308.
摘    要:This paper presents some recent works on the control of dynamic systems,which have certain complex properties caused by singularity of the nonlinear structures,structure~varyings, or evolution process etc. First, we consider the structure singularity of nonlinear control systems. It was revealed that the focus of researches on nonlinear control theory is shifting from regular systems to singular systems. The singularity of nonlinear systems causes certain complexity. Secondly, the switched systems are considered. For such systems the complexity is caused by the structure varying. We show that the switched systems have significant characteristics of complex systems. Finally, we investigate the evolution systems. The evolution structure makes complexity, and itself is a proper model for complex systems.

关 键 词:非线性控制系统  动态复杂可控系统  相对次数  范式  交换系统

ON COMPLEX DYNAMIC CONTROL SYSTEMS
CHENGDaizhan.ON COMPLEX DYNAMIC CONTROL SYSTEMS[J].Journal of Systems Science and Complexity,2003,16(3):350-357.
Authors:CHENG Daizhan
Abstract:This paper presents some recent works on the control of dynamic systems, which have certain complex properties caused by singularity of the nonlinear structures, structure-varyings, or evolution process etc. First, we consider the structure singularity of nonlinear control systems. It was revealed that the focus of researches on nonlinear control theory is shifting from regular systems to singular systems. The singularity of nonlinear systems causes certain complexity. Secondly, the switched systems are considered. For such systems the complexity is caused by the structure varying. We show that the switched systems have significant characteristics of complex systems. Finally, we investigate the evolution systems. The evolution structure makes complexity, and itself is a proper model for complex systems.
Keywords:Relative degree  Byrnes-Isidori normal form  center manifold  switched systems  evolution system  
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